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Chapter: 4 -Problem: 30 >> In problem, use the given zero to find the remaining zeros of each function.g(x) = 2x2 - 3x4 – 5x2 - 15x2 - 207x + 108; zero: 3i
Answer Preview: Since 3i is a zero its conjugate 3i is also a zero of g x 3i and x 3i are factors of g …

, Chapter: 5 -Problem: 11 >> In problem, solve each logarithmic equation. Express irrational solutions in exact form and as a decimal rounded to three decimal places.1/2 1og3 x = 2 log32
Answer Preview: The solution …

, Chapter: 1 -Problem: 59 >> In problem, list the intercepts and test for symmetry.x2 + y - 9 = 0
Answer Preview: x 2 y 9 0 x intercepts x 2 9 0 x 2 9 x 3 y intercepts 0 2 y 9 0 …

, Chapter: 3 -Problem: 3 >> To complete the square of x2 – 5x, you add the number _______.
Answer Preview: 2 …

, Chapter: 6 -Problem: 48 >> In problem, find the exact values of the six trigonometric functions of the given angle. If any are not defined, say “not defined.” Do not use a calculator.5?/6
Answer Preview: The point on the u…

, Chapter: 1 -Problem: 10 >> For the line 2x + 3y = 6, find a line parallel to it containing the point (1, -1). Also find a line perpendicular to it containing the point (0, 3).
Answer Preview: Parallel line Any line parallel to 2x 3…

, Chapter: 4 -Problem: 87 >> In problem, analyze each polynomial function f by following Steps 1 through 8.f(x) = x3 + 0.2x2 - 1.5876x - 0.31752
Answer Preview: f x x 3 0 2x 2 1 5876x 0 31752 Step 1 Degree 3 The graph of the function res…

, Chapter: 12 -Problem: 38 >> Use the Binomial Theorem to find the indicated coefficient or term. The sixth term in the expansion of (3x + 2)8
Answer Preview: n 8 j 5 x 3x …

, Chapter: 14 -Problem: 56 >> Determine whether f is continuous at c.  Transcribed Image Text: x² – 6x if x + 0 f(x) = x² + 6x -1 if x = 0 -1
Answer Preview: x 6x f x x 6x 1 1 f …

, Chapter: 5 -Problem: 123 >> Problem provide definitions for two other transcendental functions.The hyperbolic cosine function, designated by cosh x, is defined as (a) Show that f(x) = cosh x is an even function.(b) Graph f(x) = coshx using a graphing utility.(c) Refer to problem 122. Show that, for every x, Data from problem 122The hyperbolic sine function, designated by sinh x, is defined as
Answer Preview: a Thus f x cosh …

, Chapter: 7 -Problem: 1 >> Find the exact value of each expression. sin 195° • cos 75°
Answer Preview: sin 195 cos 75 sin 150 45 cos 30 45 sin 1…

, Chapter: 6 -Problem: 75 >> Find a function whose graph is given. Transcribed Image Text: 4 -4
Answer Preview: The graph is a cos…

, Chapter: 4 -Problem: 37 >> In problem, solve each inequality algebraically. Transcribed Image Text: (x – 2)? x? - 1
Answer Preview: The zeros and values where f is undefined are x 1 x 1 and …

, Chapter: 7 -Problem: 66 >> Establish identity.tan ? + tan(? + 120°) + tan(? + 240°) = 3 tan(3?)
Answer Preview: tan tan 120 tan 240 tan 0 tan tan tan 120 tan tan 240 1 tantan 120 1 t…

, Chapter: 3 -Problem: 44 >> In problem,(a) Graph each quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and x-intercepts, if any.(b) Determine the domain and the range of the function.(c) Determine where the function is increasing and where it is decreasing.f(x) = 2x2 + 5x + 3
Answer Preview: a For f x 2x 2 5x 3 a 2 b 5 c 3 Since a 2 0 the graph opens up The x coordinate of the vert…

, Chapter: 7 -Problem: 69 >> Establish identity. Transcribed Image Text: sec 0 - csc 0 sec 0 csc 0 sin 0 - cos 0 cos 0
Answer Preview: sec csc sec…

, Chapter: 11 -Problem: 25 >> The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use x, y; or x, y, z; or x1 , x2 , x3 , x4 as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. Transcribed Image Text:
Answer Preview: x 5 y 1 Co…

, Chapter: 2 -Problem: 19 >> List the number(s) at which has a local maximum.What are the local maximum values? In problem, use the graph of the function given. Transcribed Image Text: (2, 10) 10 (-2, 6) (-5, 0) (5, 0) -10 -5 [(0,0) 10 (-8,-4) -6 5
Answer Preview: f has local max…

, Chapter: 11 -Problem: 24 >> Graph each equation of the system. Then solve the system to find the points of intersection.   Transcribed Image Text: Sx² + + y = 10 ?? %3D 3
Answer Preview: x y 10 xy 3 y 10 3 1 1 3 54xy 3 1 3 3 1 Solve b…

, Chapter: 11 -Problem: 46 >> Solve each system of equations. If the system has no solution, say that it is inconsistent. Transcribed Image Text: 2? — ??- ? %3D 0 —? + 2? + z 3 5 ?? — 4? — ? %3D 1
Answer Preview: 2x 3y z 0 x 2y z 5 3x 4y z 1 Add the first and second equations to el…

, Chapter: 6 -Problem: 15 >> Use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator.csc 450°
Answer Preview: csc 4…

, Chapter: 8 -Problem: 53 >> Clint is building a wooden swing set for his children. Each supporting end of the swing set is to be an A-frame constructed with two 10-foot-long 4 by 4s joined at a 45° angle. To prevent the swing set from tipping over, Clint wants to secure the base of each A-frame to concrete footings. How far apart should the footings for each A-frame be?
Answer Preview: Use the Law of Co…

, Chapter: 13 -Problem: 59 >> A baseball team has 15 members. Four of the players are pitchers, and the remaining 11 members can play any position. How many different teams of 9 players can be formed?
Answer Preview: The team must have 1 pitcher and 8 position players no…

, Chapter: 10 -Problem: 32 >> Rotate the axes so that the new equation contains no xy-term. Analyze and graph the new equation.x2 – 4xy + y2 – 3 = 0
Answer Preview: x 4xy y 3 0 0 45 Z x x Z x x Z Z x 1 2 4 2 …

, Chapter: 5 -Problem: 38 >> In problem, verify that the functions f and g are inverses of each other by showing that f(g(x)) = x and g(f(x)) = x. Give any values of x that need to be excluded from the domain of f and the domain of g. Transcribed Image Text: f(x) = (x – 2)², x > 2; g(x) = V? + 2
Answer Preview: Thus f and g are …

, Chapter: 6 -Problem: 101 >> Explain the term amplitude as it relates to the graph of a sinusoidal function.
Answer Preview: the word amplitude is related to an oscillating particle or a wa…

, Chapter: 13 -Problem: 56 >> According to the Girl Scouts of America, in March 2006, 9% of all Girl Scout cookies sold are shortbread/trefoils. If a box of Girl Scout cookies is selected at random, what is the probability that it is not shortbread/ trefoils?
Answer Preview: P not shortb…

, Chapter: 7 -Problem: 103 >> Solve each equation on the interval 0 ? ? ? 2?. tan(2?) = 0
Answer Preview: tan 2 0 2 0 k k 2 …

, Chapter: 11 -Problem: 31 >> Matrix is nonsingular. Find the inverse of each matrix.  Transcribed Image Text: 2
Answer Preview: 21 1 1 Augment the matrix with the identit…

, Chapter: 1 -Problem: 28 >> In problem,(a) Find the center (h, k) and radius r of each circle;(b) Graph each circle;(c) Find the intercepts, if any.x2 + y2 - 6x + 2y + 9 = 0
Answer Preview: a Center 3 1 Radius 1 b c x inte…

, Chapter: 2 -Problem: 92 >> Suppose that a friend of yours does not understand the idea of increasing and decreasing functions. Provide an explanation, complete with graphs, that clarifies the idea.
Answer Preview: An increasing function is a function …

, Chapter: 9 -Problem: 35 >> Use the given vectors u, v, and w to find each expression. u = 2i - 3j + k, v = -3i + 3j + 2k, w = i + j + 3k.u • (v x w)
Answer Preview: u v X w u 3 3 …

, Chapter: 8 -Problem: 9 >> Find the exact value of the six trigonometric functions of the angle in each figure. Transcribed Image Text: 12
Answer Preview: opposite 5 adjacent 12 hypotenuse hyp…

, Chapter: 5 -Problem: 53 >> The average annual cost of college at 4-year private colleges was $25,143 in the 2008–2009 academic year. This was a 5.9% increase from the previous year.(a) If the cost of college increases by 5.9% each year, what will be the average cost of college at a 4-year private college for the 2028–2029 academic year?(b) College savings plans, such as a 529 plan, allow individuals to put money aside now t
Answer Preview: a Let x the year then the average annual cost C of a 4 year private col…

, Chapter: 10 -Problem: 37 >> Find the vertex, focus, and directrix of each parabola. Graph the equation. x2 = 4y
Answer Preview: The equation x 4y is in the f…

, Chapter: 4 -Problem: 29 >> In problem, follow Steps 1 through 8 to analyze the graph of each function.F(x) = x2 + x - 12/x + 2
Answer Preview: In problem we will use the terminology R x p x q x there the degree of p x n a…

, Chapter: 5 -Problem: 7 >> In problem, solve each logarithmic equation. Express irrational solutions in exact form and as a decimal rounded to three decimal places.log(5x) = 4
Answer Preview: The soluti…

, Chapter: 3 -Problem: 12 >> In problem, graph each quadratic function using transformations (shifting, compressing, stretching, and/or reflecting).f(x) = (x -1) 2 – 3
Answer Preview: f x x 1 2 3 Using the gr…

, Chapter: 6 -Problem: 25 >> In problem, convert each angle to a decimal in degrees. Round your answer to two decimal places.1°2'3''
Answer Preview: 1 60 60 …

, Chapter: 3 -Problem: 24 >> In problem,(a) Graph each quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and x-intercepts, if any.(b) Determine the domain and the range of the function.(c) Determine where the function is increasing and where it is decreasing.f(x) = -2x2 - x + 4
Answer Preview: a f x 2x 2 x 4 a 2 b 1 c 4 Since a 2 0 the graph opens down The x coordinate of the vertex is The …

, Chapter: 4 -Problem: 103 >> Find k such that f(x) = x3 - kx2 + kx + 2 has the factor x – 2.
Answer Preview: From the Remainder and …

, Chapter: 14 -Problem: 51 >> Find the limit as x approaches c of the average rate of change of the function from c to x. c = 1; f(x) = 1/x
Answer Preview: lim xl f x f 1 …

, Chapter: 5 -Problem: 115 >> In problem, graph each function. Based on the graph, state the domain and the range and find any intercepts. Transcribed Image Text: if 0 < x < 1 if x 2 1 x<1 -In x if 0 < f(x) = In x
Answer Preview: Domain x x 0 …

, Chapter: 7 -Problem: 10 >> Express each product as a sum containing only sines or only cosines. sin(3?) sin(5?)
Answer Preview: sin 30 sin 50 …

, Chapter: 6 -Problem: 67 >> In problem, convert each angle in radians to degrees. Express your answer in decimal form, rounded to two decimal places.2
Answer Preview: 2 radi…

, Chapter: 4 -Problem: 52 >> List all the potential rational zeros of f(x) = -6x5 + x4 + 2x3 - x + 1.
Answer Preview: a 1 a5 6 …

, Chapter: 7 -Problem: 26 >> Use the Half-angle Formulas to find the exact value of expression.csc 7?/8
Answer Preview: 7 8 csc 11 7 8 11 sin …

, Chapter: 3 -Problem: 51 >> In problem, determine the quadratic function whose graph is given. Transcribed Image Text: ?? 8 6- (3, 5). 3 -2 Vertex: (1, –3) 2.
Answer Preview: Consider the form y a x h 2 k From the graph we know that …

, Chapter: 7 -Problem: 50 >> Establish identity. Transcribed Image Text: 1 + sin v 2 sec v 1 + sin v cos v
Answer Preview: COS V 1 sin v 1 sin v cosv 1 s…

, Chapter: 11 -Problem: 52 >> Solve the system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.  Transcribed Image Text: 2? — ?? — z 3 0 —? + 2? + z%3D5 ?? — 4? — z %3 1
Answer Preview: 2x 3y z 0 x 2y z 5 3x 4y z 1 Write the augmen…

, Chapter: 2 -Problem: 15 >> In problem, match each graph to one of the following functions:A. y = x2 + 2B. y = -x2 + 2C. y = |x| + 2D. y = -|x| + 2E. y = (x - 2) 2F. y = -(x + 2) 2G. y = |x - 2|H. y = -|x + 2|I. y = 2x2J. y = -2x2K. y = 2|x|L. y = -2|x| Transcribed Image Text: 4 -4 -4
Answer Preview: F…

, Chapter: 11 -Problem: 82 >> The altitude of an isosceles triangle drawn to its base is 3 centimeters, and its perimeter is 18 centimeters. Find the length of its base.
Answer Preview: Let x the length of each of the two equal sides in the isosceles triangle Let y the length of th…

, Chapter: 10 -Problem: 5 >> f(x) = log4(x – 2)(a) Solve f(x) = 2. (b) Solve f(x) ? 2.
Answer Preview: f x log x 2 …

, Chapter: 6 -Problem: 20 >> Determine the amplitude and period of each function without graphing. Transcribed Image Text: ?? X. 2 cos y = 5
Answer Preview: This is in the form y Ac…

, Chapter: 8 -Problem: 37 >> Solve triangle using either the Law of Sines or the Law of Cosines.B = 35°, C = 65°, a = 15
Answer Preview: B 35 C 65 a 15 A 180 35 65 …

, Chapter: 13 -Problem: 45 >> Find the probability of the indicated event if P(A) = 0.25 and P(B) 0.45.P(A ? B) if P(A ? B) = 0.15
Answer Preview: P AUB P …

, Chapter: 10 -Problem: 10 >> Graph the curve whose parametric equations are given and show its orientation. Find the rectangular equation of each curve.x = ?2t, y = 4t; t ? 0
Answer Preview: X 2t …

, Chapter: 5 -Problem: 38 >> In problem, the graph of an exponential function is given. Match each graph to one of the following functions(a) y = 3x(b) y = 3-x(c) y = -3x(d) y = -3-x(e) y = 3x - 1(f) y = 3x-1(g) y = 31 €“ x(h) y = 1 - 3x Transcribed Image Text: ?? y=0 -2 -3
Answer Preview: c…

, Chapter: 4 -Problem: 77 >> In problem, use the Intermediate Value Theorem to show that each polynomial function has a zero in the given interval.f(x) = 8x4 - 2x2 + 5x - 1; [0, 1]
Answer Preview: f x 8x 4 2x 2 5x 1 0 1 f 0 1 0 and f 1 10 0 The …

, Chapter: 6 -Problem: 107 >> On the screen you will see a slider. Move the point along the slider to see the role a plays in the graph of f(x) = a sin x.
Answer Preview: In a sinusoidal function the value a is called the Amplitude of the graph it means the v…

, Chapter: 13 -Problem: 3 >> Graph f(x) = 2(x + 1)2  - 4 using transformations.
Answer Preview: y 2 x 1 4 Using the graph of y x …

, Chapter: 7 -Problem: 114 >> Solve each equation on the interval 0 ? ? ? 2?. 2cos2? + cos? - 1 = 0
Answer Preview: On 0 2 the solution set …

, Chapter: 11 -Problem: 31 >> Write the partial fraction decomposition of each rational expression.  Transcribed Image Text: ? (3x – 2)(2x + 1)
Answer Preview: Find the partial fraction decomposition A B X 3x 2 2x …

, Chapter: 1 -Problem: 34 >> In problem, the slope and a point on a line are given. Use this information to locate three additional points on the line.Slope 4/3; point (-3, 2)
Answer Preview: Slope 4 3 point 3 2 If x increases …

, Chapter: 2 -Problem: 4 >> Write the point–slope form of the line with slope 5 containing the point (3, -2).
Answer Preview: y y m…

, Chapter: 10 -Problem: 31 >> Find an equation of the conic described. Graph the equation.  Ellipse; foci at (-4, 2) and (-4, 8); vertex at (-4, 10)
Answer Preview: Ellipse Foci 4 2 4 8 Vertex 4 10 Cente…

, Chapter: 9 -Problem: 46 >> Find the area of the parallelogram with one corner at and adjacent sides and P1P2 (vector) and  P1P3 (vector).P1 = (0,0,0), P2 = (2,3,1), P3 = (-2,4,1)
Answer Preview: u PP 2i 3j k v PP …

, Chapter: 7 -Problem: 3 >> Find the exact value of expression. Express angles in radians. sin-1 (sin 11?/5)
Answer Preview: Let sin 1 sin 11 5 follows the form of the equation f 1 f x sin 1 sin x x but …

, Chapter: 5 -Problem: 66 >> Solve equation. (1/4)x = 1/64
Answer Preview: The solu…

, Chapter: 10 -Problem: 72 >> A reflecting telescope contains a mirror shaped like a paraboloid of revolution. If the mirror is 4 inches across at its opening and is 3 inches deep, where will the collected light be concentrated?
Answer Preview: Set up the problem so that the vertex of the parabola is at 0 0 and it opens …

, Chapter: 4 -Problem: 18 >> In problem, find the domain of each rational function. Transcribed Image Text: Q(x) = -x(1-x) 3x + 5x - 2
Answer Preview: In the denominator q x 3x 2 5x …

, Chapter: 5 -Problem: 2 >> If you borrow $5000 and, after 9 months, pay off the loan in the amount of $5500, what per annum rate of interest was charged?
Answer Preview: P 5000 t 9 months 0 75 yea…

, Chapter: 1 -Problem: 16 >> Plot the points (0, -3), (1, 3), -(2, 3), (5, 3) and (-4, 3). Describe the set of all points of the form (x, 3) where x is a real number.
Answer Preview: The points will be on …

, Chapter: 6 -Problem: 31 >> In problem, find the exact value of each expression. Do not use a calculator.sin 45° + cos 60°
Answer Preview: sin 4…

, Chapter: 3 -Problem: 53 >> Which of the following functions might have the graph shown? (a) f(x) = 2x - 7(b) g(x) = -3x + 4(c) H(x) = 5(d) F(x) = 3x + 4(e) G(x) = 1/2 x + 2 Transcribed Image Text: ??
Answer Preview: The graph shown has a pos…

, Chapter: 2 -Problem: 71 >> A function is defined byf(x) = Ax + 5/6x - 2If f(1) = 4, find A.
Answer Preview: Ax 5 6x 2 f …

, Chapter: 14 -Problem: 19 >> Use the accompanying graph of y = f(x). Find  Transcribed Image Text: lim_ f(x) 9- ?? • (2, 3) (-4, 2) 2 (6, 2) -8 -6 -4 -2 2 -2 -4
Answer Preview: li…

, Chapter: 5 -Problem: 107 >> In problem, solve each equation.5e0.2x = 7
Answer Preview: The solution set is T…

, Chapter: 7 -Problem: 30 >> Establish each identity. Transcribed Image Text: cos 0 – cos(50) sin 0 + sin(50) tan(20)
Answer Preview: cos cos 50 sin sin 50 2 …

, Chapter: 6 -Problem: 43 >> In problem, find the exact value of each expression. Do not use a calculator. Transcribed Image Text: TT cot - 3 | 2 sec + 4 cot
Answer Preview: 2 sec …

, Chapter: 4 -Problem: 63 >> In problem, solve each equation in the real number system.x4 + 4x3 + 2x2 - x + 6 = 0
Answer Preview: x 4 4x 3 2x 2 …

, Chapter: 7 -Problem: 22 >> Use the Half-angle Formulas to find the exact value of expression.tan 9?/8
Answer Preview: 91 tan tan 8 NAYO …

, Chapter: 3 -Problem: 11 >> True or FalseIf the average rate of change of a linear function is 2/3, then if y increases by 3, x will increase by 2.
Answer Preview: False If …

, Chapter: 7 -Problem: 68 >> Establish identity. Transcribed Image Text: 1 - cot? 0 1 + cot? 0 + 2 cos? 0 = 1
Answer Preview: 1 cot0 1 cot0 2 cos 0 1 co…

, Chapter: 11 -Problem: 65 >> Solve the system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.  Transcribed Image Text: x + 2y + z = 1 2x - y + 2z = 2 3x + y + 3z = 3
Answer Preview: x 2y z 1 2x y 2z 2 3x y 3z 3 Write the augmented matrix 2 11 1 2 2 …

, Chapter: 2 -Problem: 11 >> In problem, find the domain of each function.f(x) = ?2 - x
Answer Preview: f x 2 x The r…

, Chapter: 11 -Problem: 34 >> Solve the system. Use any method you wish.  Transcribed Image Text: 2 3x – 2y? + 5 = 0 + 2 = 0 |2.x? - y? + 2 = 0
Answer Preview: 3x 2y 5 0 2x y 2 0 3x 2y 5 2x y 2 Multiply …

, Chapter: 10 -Problem: 7 >> Find all the solutions of the equation sin(2?) = 0.5.
Answer Preview: sin 20 0 5 20 …

, Chapter: 6 -Problem: 11 >> Use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator.sin 405°
Answer Preview: sin 4…

, Chapter: 8 -Problem: 51 >> The distance from home plate to the fence in dead center in Wrigley Field is 400 feet (see the figure). How far is it from the fence in dead center to third base? Transcribed Image Text: 400 ft 90 ft 90 fl
Answer Preview: Find x by using the Law …

, Chapter: 13 -Problem: 10 >> Determine whether the following is a probability model.  Transcribed Image Text: Probability Outcome Erica 0.3 0.2 Joanne 0.1 Laura Donna 0.5 Angela -0.1
Answer Preview: One probabilit…

, Chapter: 10 -Problem: 31 >> Rotate the axes so that the new equation contains no xy-term. Analyze and graph the new equation.x2 + 4xy + y2 – 3 = 0
Answer Preview: x 4xy y 3 0 0 45 V2 2 4 2 3 x 2xy y …

, Chapter: 5 -Problem: 34 >> In problem, evaluate each expression. Do not use a calculator. log3 81
Answer Preview: log 3…

, Chapter: 4 -Problem: 82 >> In problem, find the complex zeros of each polynomial function f(x).Write f in factored form.f(x) = 4x3 - 4x2 - 7x - 2
Answer Preview: f x 4x 3 4x 2 7x 2 Possible rational zeros Usin…

, Chapter: 11 -Problem: 90 >> Create a situation different from any found in the text that can be represented by a matrix.
Answer Preview: a shopkeeper sell 10kg of apple 14kg of orange and …

, Chapter: 13 -Problem: 72 >> What is the probability that at least 2 people have the same birthday in a group of 35 people? Assume that there are 365 days in a year.
Answer Preview: P at least 2 with same birt…

, Chapter: 7 -Problem: 65 >> Establish each identity. 2cot?cost(2?) = cot2? - 1
Answer Preview: cos 20 sin 20 2 cos co…

, Chapter: 11 -Problem: 70 >> Use a graphing utility to find the inverse, if it exists, of the matrix. Round answers to two decimal places.  Transcribed Image Text: 16 22 -3 5 21 4 -17 8 27 -10 2 20 15 -3
Answer Preview: A 16 22 3 21 17 4 2 8 27 5 LAJ 11 01 02 04 …

, Chapter: 1 -Problem: 25 >> In problem, graph the line containing the point P and having slope m.P = (2, 4); m = - 3/4
Answer Preview: P 2 4…

, Chapter: 2 -Problem: 92 >> Tiffany, a commissioned salesperson, earns $100 base pay plus $10 per item sold. Express her gross salary G as a function of the number x of items sold.
Answer Preview: Let x represent t…

, Chapter: 10 -Problem: 39 >> Identify each conic without completing the squares and without applying a rotation of axes. x2 + 2y2 + 4x – 8y + 2 = 0
Answer Preview: x 2y 4x 8y 2 0 A …

, Chapter: 9 -Problem: 13 >> The variables r and ? represent polar coordinates. (a) Write each polar equation as an equation in rectangular coordinates (x,y).(b) Identify the equation and graph it.r = 2sin?
Answer Preview: a r 2sin 0 r 2r sin 0 x y …

, Chapter: 7 -Problem: 131 >> Use a graphing utility to solve each equation on the interval Approximate any solutions rounded to two decimal places. sinx = lnx
Answer Preview: sinx lnx Find the intersect…

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, Chapter: 10 -Problem: 47 >> Find the vertex, focus, and directrix of each parabola. Graph the equation. y2 – 4y + 4x + 4 = 0
Answer Preview: Complete the square to put in standard form …

, Chapter: 4 -Problem: 24 >> In problem, determine which functions are polynomial functions. For those that are, state the degree. For those that are not, tell why not.F(x) - x2 – 5/x3
Answer Preview: is not a polynomia…

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, Chapter: 2 -Problem: 13 >> A wire of length x is bent into the shape of a circle.(a) Express the circumference C of the circle as a function of x.(b) Express the area A of the circle as a function of x.
Answer Preview: a Since the wire of leng…

, Chapter: 6 -Problem: 29 >> Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function. Transcribed Image Text: y = 4 sec
Answer Preview: The graph of y sec x is horizontally …

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, Chapter: 2 -Problem: 77 >> In problem, find the difference quotient of f; that is, find f(x + h) - f(x)/h for each function. Be sure to simplify.f(x) = x2 - x + 4
Answer Preview: f x x x 4 f x h …

, Chapter: 14 -Problem: 4 >> Name the trigonometric functions that have asymptotes.
Answer Preview: Secant …

, Chapter: 5 -Problem: 68 >> In problem, the graph of a logarithmic function is given. Match each graph to one of the following functions:(a) y = log3 x(b) y = log3(-x)(c) y = -log3 x(d) y = -log3(-x)(e) y = log3 x €“ 1(f) y = log3(x - 1)(g) y = log3(1 - x)(h) y = 1 - log3 x Transcribed Image Text: ?? 3 ?3 5? -3}
Answer Preview: c …

, Chapter: 5 -Problem: 102 >> The atmospheric pressure p on a balloon or plane decreases with increasing height. This pressure, measured in millimeters of mercury, is related to the height h (in kilometers) above sea level by the functionp(h) = 760e-0.145h(a) Find the atmospheric pressure at a height of 2 kilometers (over a mile).(b) What is it at a height of 10 kilometers (over 30,000 feet)?
Answer Preview: p h 760e 0 1…

, Chapter: 7 -Problem: 102 >> If x = 2 tan ?, express cos(2?) as a function of x.
Answer Preview: cos 20 cos0 sin 0 cos0 sin0 …

, Chapter: 6 -Problem: 9 >> What is the y-intercept of y = secx?  If necessary, refer to the graphs to answer each question.
Answer Preview: The y …

, Chapter: 4 -Problem: 57 >> In problem, solve each inequality algebraically.6x - 5 < 6/x
Answer Preview: The zeros and values where f is …

, Chapter: 7 -Problem: 53 >> Establish identity.cos2(2u) - sin2 (2u) = cos(4u)
Answer Preview: cos 2 …

, Chapter: 3 -Problem: 35 >> In parts (a) and (b), use the following figure. (a) Solve the equation: f (x) = g(x).(b) Solve the inequality: g(x) ‰¤ f (x) < h(x). Transcribed Image Text: (y = fx) ?? (0, 12) (5, 12) y = h(x) (-6,–5) (0,–5) ? 3?x)
Answer Preview: a f x g x when their graphs interse…

, Chapter: 11 -Problem: 73 >> An application of Kirchhoff’s Rules to the circuit shown on page 711 results in the following system of equations: Find the currents I1 , I2 and I3. Transcribed Image Text: Iz = I1 + I3 5 - 31, - 51, = 0 10 – 512 – 713 = 0 %3D 13 72 5 V 10 V
Answer Preview: 1 1 13 5 31 51 0 10 51 713 0 Substitute the expression for 1 into the second and third equat…

, Chapter: 2 -Problem: 18 >> In problem, determine whether each relation represents a function. For each function, state the domain and range. Transcribed Image Text: Average Income Level of Education Less than 9th grade $18,120 $23,251 $36,055 9th-12th grade High School Graduate Some College College Graduate $45,810 $67,165
Answer Preview: Function Domain Less than 9t…

, Chapter: 11 -Problem: 12 >> Graph each equation of the system. Then solve the system to find the points of intersection.  Transcribed Image Text: ? %3D ? — 1 ? — ?? — ?? + 9 ||
Answer Preview: y x 1 y x 6x 9 2 YA 8 2 1 y x 1 5 4 y …

, Chapter: 11 -Problem: 35 >> Solve each system of equations. If the system has no solution, say that it is inconsistent. Transcribed Image Text: 3 2 = -1 3.
Answer Preview: 1 2 1 1 y 3 3 2 X y 1 3 Multiply each side of the first …

, Chapter: 6 -Problem: 19 >> Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function.y = 4 cot x
Answer Preview: y 4cot x The graph of y cot x is …

, Chapter: 8 -Problem: 25 >> If two angles and the included side are given, the third angle is easy to find. Use the Law of Sines to show that the area K of a triangle with side a and angles A, B, and C is Transcribed Image Text: a? sin B sin C K %3| 2 sin A
Answer Preview: From the Law of Sin…

, Chapter: 13 -Problem: 30 >> . List all the combinations of 6 objects 1, 2, 3, 4, 5, and 6 taken 3 at a time. What is C(6, 3)?
Answer Preview: 123 124 125 126 134 13…

, Chapter: 10 -Problem: 54 >> Apply the rotation formulas (5) to  Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 to obtaine the equation  A’x’2 + B’x’y’ + C’y’2 + D’x’ + E’y’ + F’ = 0.Show that A + c = A' + C', and thus show that  A + C is invariant; that is, its value does not change under a rotation of axes.
Answer Preview: 0 0 B sin cos C sin …

, Chapter: 5 -Problem: 32 >> In problem, find the inverse of each one-to-one function. State the domain and the range of each inverse function. {(-2, -8), (-1, -1), (0, 0), (1, 1), (2, 8)}
Answer Preview: Interchange the ent…

, Chapter: 4 -Problem: 79 >> In problem, find the complex zeros of each polynomial function f(x).Write f in factored form.f(x) = x3 - 3x2 - 6x + 8
Answer Preview: f x x 3 3x 2 6x 8 Possible rational zeros Using …

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, Chapter: 13 -Problem: 62 >> Another game on the “Price is Right” requires the contestant to spin a wheel with numbers 5, 10, 15, 100. What is the probability that the contestant spins 100 or 30?
Answer Preview: P 100 or 30 …

, Chapter: 1 -Problem: 26 >> In problem, find the distance d(P1 , P2) between the points P1 and P2.P1 = (-4, -3); P2 = (6, 2)
Answer Preview: d P P …

, Chapter: 7 -Problem: 40 >> Write the trigonometric expression as an algebraic expression in u. tan(csc-1u)
Answer Preview: Let csc 1 u so th…

, Chapter: 11 -Problem: 33 >> Write the partial fraction decomposition of each rational expression.  Transcribed Image Text: x? + 2x – 3
Answer Preview: Find the partial fraction decomposition X x A …

, Chapter: 1 -Problem: 21 >> In problem, plot each pair of points and determine the slope of the line containing them. Graph the line.(-1, 2); (-1, -2)
Answer Preview: undefin…

, Chapter: 2 -Problem: 85 >> Problem requires the following discussion of a secant line. The slope of the secant line containing the two points (x, f (x)) and (x + h, f (x + h)) on the graph of a function y = f (x) may be given as In calculus, this expression is called the difference quotient of f(a) Express the slope of the secant line of each function in terms of x and h. Be sure to simplify your answer.(b) Find msec for h
Answer Preview: f x 2x 2 3x 1 a b When x 1 c Using point 1 …

, Chapter: 10 -Problem: 47 >> Use a graphing utility to graph the curve defined by the given parametric equations.x = 4 sin t - 2 sin(2t)y = 4 cos t - 2 cos(2t)
Answer Preview: x 4sint 2 …

, Chapter: 9 -Problem: 26 >> Write each complex number in polar form. Express each argument in degrees. -?3 + i
Answer Preview: 2 3 1 4 2 r tan 8 2 …

, Chapter: 7 -Problem: 4 >> Use transformations to graph the equation y = |x - 3| + 2.
Answer Preview: y x 3 2 Using the graph …

, Chapter: 5 -Problem: 58 >> Find a so that the graph of f(x) = loga x contains the point (1/2, -4).
Answer Preview: If the graph of …

, Chapter: 10 -Problem: 43 >> Find the vertex, focus, and directrix of each parabola. Graph the equation. ( x- 3)2 = -(y + 1)
Answer Preview: The equation x 3 y 1 is in the …

, Chapter: 4 -Problem: 26 >> In problem, follow Steps 1 through 8 to analyze the graph of each function.F(x) = x2 + 3x + 2/x - 1
Answer Preview: In problem we will use the terminology R x p x q x there the degree of p x n …

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, Chapter: 3 -Problem: 7 >> In problem, examine the scatter diagram and determine whether the type of relation is linear or nonlinear. Transcribed Image Text: 22 -2 12
Answer Preview: Lin…

, Chapter: 6 -Problem: 42 >> Find the average rate of change of f from 0 to ?/6.f(x) = sec x
Answer Preview: The average rate …

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, Chapter: 4 -Problem: 97 >> In problem, analyze each polynomial function by following Steps 1 through 6.f(x) = x3 + x2 - 12x
Answer Preview: Step 1 Degree is 3 The function resembles y x 3 for large values of x Step 2 y inte…

, Chapter: 14 -Problem: 37 >> Find limit algebraically.  Transcribed Image Text: x + x² + 3x + 3 lim x?-1 x* + x + 2x + 2
Answer Preview: x x x 1 4 3 x1xx 2x 2 …

, Discounts The manufacturer of a computer is offering two discounts on last year's model computer. The first discount is a $200 rebate and the second discount is 20% off the regular price, p.(a) Write a function f that represents the sale price if only the rebate applies.(b) Write a function g that represents the sale price if only the 20% discount applies.(c) Find f ° g and g ° f. What does each o
Answer Preview: a f p p 200 b g p 0 80 p c This represents the final price whe…

, Chapter: 5 -Problem: 112 >> Suppose that F(x) = log2(x + 1) - 3.(a) What is the domain of F?(b) What is F(7)? What point is on the graph of F?(c) If F(x) = -1, what is x? What point is on the graph of F?(d) What is the zero of F?
Answer Preview: a F x log 2 x 1 3 We require that x 1 be …

, Chapter: 7 -Problem: 109 >> Use the fact that to find sin ?/24 and cos ?/24. Transcribed Image Text: TT cos 12 i(Võ + 4 ||
Answer Preview: sin 24 COS 24 T 12 2 2 1 1 6 …

, Chapter: 6 -Problem: 98 >> The graphs of the given pairs of functions intersect infinitely many times. Find four of these points of intersection.y = 2 sin xy = -2
Answer Preview: 2 sin …

, Chapter: 4 -Problem: 58 >> In problem, solve each inequality algebraically.x + -12/x < 7
Answer Preview: The zeros and values where f is undefined are x 0 x 3 and x 4 I…

, Chapter: 7 -Problem: 52 >> Establish identity. Transcribed Image Text: csc(20) sec 0 csc 0 SC
Answer Preview: csc 20 1 s…

, Chapter: 3 -Problem: 61 >> The graph of the function f(x) = ax2 + bx + c has vertex at (0, 2) and passes through the point (1, 8). Find a, b, and c.
Answer Preview: Use the form f x a x h 2 k The ve…

, Chapter: 11 -Problem: 61 >> Solve the system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.  Transcribed Image Text: 2 ?? + ? — %3D 3 2? — ?+ %3D 1 8. 4? + 2y 3
Answer Preview: 3x y 2 2x y z 1 4x 2y 3 Write the augmented mat…

, Chapter: 2 -Problem: 13 >> In problem, determine whether the graph is that of a function by using the vertical-line test. If it is, use the graph to find:(a) The domain and range(b) The intercepts, if any(c) Any symmetry with respect to the x-axis, the y-axis, or the origin Transcribed Image Text: -7 -1
Answer Preview: Function a Domai…

, Chapter: 11 -Problem: 48 >> Solve the system. Use any method you wish.  Transcribed Image Text: - ?? — 2? %3D 0 2y = 0 ?* ?? + ? + 6 %3D 0
Answer Preview: x xy 2y 0 1 xy xy x 6 0 Factor the first equation solve for x substitu…

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, Chapter: 6 -Problem: 8 >> Find the exact value of each expression. Transcribed Image Text: 5? cos ?? cos 4 4
Answer Preview: cos 5x co…

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, Chapter: 13 -Problem: 11 >> Construct a probability model for the experiment. Tossing a fair coin twice
Answer Preview: The sample space is S HH H…

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, Chapter: 5 -Problem: 48 >> A business purchased for $650,000 in 2005 is sold in 2008 for $850,000. What is the annual rate of return for this investment?
Answer Preview: The annual return i…

, Chapter: 4 -Problem: 49 >> Find the value of f(x) = 12x6 - 8x4 + 1 at x = 4.
Answer Preview: 4 120 8 0 0 0 1 1…

, Chapter: 12 -Problem: 68 >> Make up an arithmetic sequence. Give it to a friend and ask for its twentieth term.
Answer Preview: let a be the first term and d be the common d…

, Chapter: 13 -Problem: 54 >> According to the National Science Foundation, in 2004 there was a 13.7% probability that a doctoral degree awarded at a U.S. university was awarded in engineering. If a 2004 U.S. doctoral recipient is randomly selected, what is the probability that his or her degree was not in engineering?
Answer Preview: P not in e…

, Chapter: 7 -Problem: 31 >> Find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator. tan(sin-1(-4/5))
Answer Preview: tan sin 1 4 5 Since sin 4 5 …

, Chapter: 11 -Problem: 57 >> Solve the system of equations. Transcribed Image Text: y + ?? + 2? — z %3D 8 y + 2z = 1 ?? +
Answer Preview: x y z 9 3x 2y z 8 3x y 2z 1 Rewrite the system of equ…

, Chapter: 1 -Problem: 40 >> In problem, find the standard form of the equation of each circle.With endpoints of a diameter at (4, 3) and (0, 1)
Answer Preview: Endpoints of a diameter …

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, Chapter: 10 -Problem: 45 >> Use a graphing utility to graph the curve defined by the given parametric equations.x = t sin t, y = t cos t, t >7 0
Answer Preview: x ts…

, Chapter: 9 -Problem: 27 >> Write each complex number in polar form. Express each argument in degrees. 4 - 3i
Answer Preview: r x y 4 3 25 5 3 tan …

, Chapter: 7 -Problem: 25 >> Solve each equation on 0 ? ? < 2?. 4sin2? - 3 = 0
Answer Preview: 4sin 2 3 0 4sin 2 3 sin 2 3 4 sin 3 2 …

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, Chapter: 10 -Problem: 62 >> Write an equation for each parabola.  Transcribed Image Text: 2 |(0, 1) (1, 0) 2 ? -2 -2F
Answer Preview: y 0 c x …

, Chapter: 4 -Problem: 25 >> In problem, use the graph shown to find(a) The domain and range of each function(b) The intercepts, if any(c) Horizontal asymptotes, if any(d) Vertical asymptotes, if any(e) Oblique asymptotes, if any Transcribed Image Text: ?? 4 4 ?
Answer Preview: a Domain x x 2 Range y …

, Chapter: 5 -Problem: 1 >> Solve each inequality:(a) 3x - 7 ? 8 - 2x(b) x2 - x - 6 > 0
Answer Preview: a The solution set is x x 3 b x 2 x 6 0 We graph the function f x x …

, Chapter: 1 -Problem: 65 >> When a draftsman draws three lines that are to intersect at one point, the lines may not intersect as intended and subsequently will form an error triangle. If this error triangle is long and thin, one estimate for the location of the desired point is the midpoint of the shortest side.The figure shows one such error triangle.  (a) Find an estimate for the desired intersection point.(b) Find the le
Answer Preview: a The shortest side is between P 1 2 6 …

, Chapter: 1 -Problem: 16 >> In problem, write the standard form of the equation and the general form of the equation of each circle of radius r and center (h, k). Graph each circle.r = 4; (h, k) = (2, -3)
Answer Preview: General …

, Chapter: 6 -Problem: 21 >> Find the exact value of expression. Do not use a calculator. Transcribed Image Text: sin? 20° + sec2 20°
Answer Preview: sin 20 …

, Chapter: 3 -Problem: 31 >> In parts (a) - (f), use the following figure. (a) Solve f(x) = 50.(b) Solve f(x) = 80.(c) Solve f(x) = 0.(d) Solve f(x) > 50.(e) Solve f(x) ‰¤ 80. (f) Solve 0 < f (x) < 80. Transcribed Image Text: ?? y = f(x) (88, 80) (40, 50) (-40, 0)
Answer Preview: a The point 40 50 is on the graph of y f x so the solution to f x 5…

, Chapter: 4 -Problem: 116 >> Is 1/3 a zero of f(x) = 2x3 + 3x2 - 6x + 7? Explain.
Answer Preview: f x 2x 3 3x 2 6x 7 By the Rational …

, Chapter: 14 -Problem: 18 >> Use the accompanying graph of y = f(x). Find f(2) and f(6).  Transcribed Image Text: 9- ?? • (2, 3) (-4, 2) (6, 2) 2 -4 -8 -6 2 -2 -2 -4
Answer Preview: f…

, Chapter: 5 -Problem: 124 >> A model for the number N of people in a college community who have heard a certain rumor isN = P(1 – e-0.15d) where P is the total population of the community and d is the number of days that have elapsed since the rumor began. In a community of 1000 students, how many days will elapse before 450 students have heard the rumor?
Answer Preview: Approximately 4 days N P …

, Chapter: 7 -Problem: 91 >> Find the real zeros of trigonometric function on the interval 0 ? ? ? 2?.f(x) = sin(2x) - sin x
Answer Preview: The zeros on 0 x 2 are 0 3 …

, Chapter: 6 -Problem: 96 >> The graphs of the given pairs of functions intersect infinitely many times. Find four of these points of intersection.y = sin xy = 1/2
Answer Preview: 7 1 6…

, Chapter: 4 -Problem: 52 >> In problem, for each polynomial function:(a) List each real zero and its multiplicity.(b) Determine whether the graph crosses or touches the x-axis at each x-intercept.(c) Determine the behavior of the graph near each x-intercept (zero).(d) Determine the maximum number of turning points on the graph.(e) Determine the end behavior; that is, find the power function that the graph of f resembles for
Answer Preview: a The real zeros of f x 2 x 3 x 2 4 3 is 3 …

, Chapter: 7 -Problem: 73 >> Solve equation on the interval 0 ? u ? 2?.sin(2?) + sin(4?) = 0
Answer Preview: On the interval 0 2 the solution set is s…

, Chapter: 3 -Problem: 20 >> In problem, a linear function is given.(a) Determine the slope and y-intercept of each function.(b) Use the slope and y-intercept to graph the linear function.(c) Determine the average rate of change of each function.(d) Determine whether the linear function is increasing, decreasing, or constant.G(x) = -2
Answer Preview: G x 2 a Slope 0 y intercept …

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, Chapter: 11 -Problem: 5 >> Write the augmented matrix of the given system of equations.  Transcribed Image Text: ? — 5? %3D 5 4? + ?? 3D 6
Answer Preview: Writing the augm…

, Chapter: 2 -Problem: 13 >> In problem, match each graph to one of the following functions:A. y = x2 + 2B. y = -x2 + 2C. y = |x| + 2D. y = -|x| + 2E. y = (x - 2) 2F. y = -(x + 2) 2G. y = |x - 2|H. y = -|x + 2|I. y = 2x2J. y = -2x2K. y = 2|x|L. y = -2|x| Transcribed Image Text: y. 3? -3
Answer Preview: L…

, Chapter: 11 -Problem: 20 >> Graph each equation of the system. Then solve the system to find the points of intersection.   Transcribed Image Text: Sx² = *y = 1
Answer Preview: x y xy 1 x y 5 xy 1 5 …

, Chapter: 10 -Problem: 12 >> Find the rectangular equation of the curve  Transcribed Image Text: x = 5 tan t, y = 5 sec? t, ? TT
Answer Preview: x 5 tant sec t 1 t…

, Chapter: 6 -Problem: 10 >> True or Falsesec ? = 1/sin ?
Answer Preview: Fal…

, Chapter: 8 -Problem: 11 >> Analyze the graph of the rational function  Transcribed Image Text: 2x – 7x – 4 R(x) x2 + 2x – 15 2.x 15
Answer Preview: R is in lowest terms The x intercepts are the zeros of p x The y intercept …

, Chapter: 15 -Problem: 135 >> Express each statement as an equation involving the indicated variables.The volume V of a sphere is 4/3 times ? times the cube of the radius r.
Answer Preview: V …

, Chapter: 13 -Problem: 44 >> Two fair dice are rolled. Determine the probability that the sum of the two dice is 12.
Answer Preview: P sum of two …

, Chapter: 10 -Problem: 21 >> Analyze each equation and graph it. r(3 - 2 sin?) = 6
Answer Preview: r 3 2sin 0 6r 3 2 sin 0 6 2 2 2 3 1 sine 1 sine 3 2 ep 2 p 3 Ellip…

, Chapter: 5 -Problem: 44 >> Solve exponential equation. Express irrational solutions in exact form and as a decimal rounded to three decimal places. (4/3)1-x = 5x
Answer Preview: The solution set is 3 1 x 5x 4 …

, Chapter: 4 -Problem: 49 >> In problem, for each polynomial function:(a) List each real zero and its multiplicity.(b) Determine whether the graph crosses or touches the x-axis at each x-intercept.(c) Determine the behavior of the graph near each x-intercept (zero).(d) Determine the maximum number of turning points on the graph.(e) Determine the end behavior; that is, find the power function that the graph of f resembles for
Answer Preview: a The real zeros of f x 3 x 7 x 3 2 are 7 with multiplici…

, Chapter: 13 -Problem: 65 >> Create a problem different from any found in the text that requires a combination to solve. Give it to a friend to solve and critique.
Answer Preview: QUESTION In how many ways can a group of 4 men and 3 women be made out of a total o…

, Chapter: 13 -Problem: 18 >> On a given day, the National Baseball League schedules 6 games. How many different outcomes are possible, assuming that each game is played to completion?
Answer Preview: There are two pos…

, Chapter: 7 -Problem: 90 >> Use the information given about the angles and to find the exact value of:  (a) sin(? + ?)(b) cos(? + ?)(c) sin(? - ?)(d) tan (? + ?)(e) sin(2?)(f) cos (2?)(g) sin ?/2(h) cos?/2 tan? = -2, ?/2 < ? < ?;     cot? = -2, ?/2 < ? < ?
Answer Preview: tan 2 2 cot 2 2 tan 1 2 sin 2 …

, Chapter: 14 -Problem: 68 >> Find the derivative of each function at the number indicated using a graphing utility. Transcribed Image Text: -6x + 9x – 2 at 5 8x2 + 6x – 1 f(x)
Answer Preview: Use nDeriv…

, Chapter: 11 -Problem: 24 >> Write the partial fraction decomposition of each rational expression.  Transcribed Image Text: ? +1 ? x(x? — 2)²
Answer Preview: Find the partial fraction decomposition A B x 1 D x x …

, Chapter: 3 -Problem: 38 >> Bill was just offered a sales position for a computer company. His salary would be $15,000 per year plus 1% of his total annual sales.(a) Find a linear function that relates Bill’s annual salary, S, to his total annual sales, x.(b) In 2010, Bill had total annual sales of $1,000,000.What was Bill’s salary?(c) What would Bill have to sell to earn $100,000?(d) Determine the sales required of Bill for
Answer Preview: a S x 0 01x 15 000 b In 2005 Bills salary was 25 000 …

, Chapter: 1 -Problem: 25 >> In problem,(a) Find the center (h, k) and radius r of each circle;(b) Graph each circle;(c) Find the intercepts, if any.x2 + y2 - 2x - 4y - 4 = 0
Answer Preview: a Center 1 2 Radius 3 b c x in…

, Chapter: 12 -Problem: 12 >> Show that each sequence is arithmetic. Find the common difference and write out the first four terms. Transcribed Image Text: {t,} 3 4
Answer Preview: d tn In 2 1 21 1 n 1 34 3 4 2 1 13 n 3 4 21 1 …

, Chapter: 2 -Problem: 87 >> If f(x) = 2x - A/x - 3 and f(4) = 0, what is the value of A? Where is not defined?
Answer Preview: f is undefined …

, Chapter: 10 -Problem: 47 >> Rotate the axes so that the new equation contains no xy-term. Analyze and graph the new equation. 2x2 + 5xy + 2y2 – 9/2 = 0
Answer Preview: 2x 5 xy 2y 02 0 A 2 B 5 and C 2 cot 20 E x x cos6 y sin x 2 2 y x …

, Chapter: 9 -Problem: 77 >> The work W done by a constant force F in moving an object from a point A in space to a point B in space is defined as W = F.AB(vector). Use this definition in given Problem. Find the work done by a force of 3 newtons acting in the 2i + j + k direction in moving an object 2 meters from (0,0,0) to (0,2,0).
Answer Preview: Write the force as a vector …

, Chapter: 8 -Problem: 22 >> Find the exact value of each expression. Do not use a calculator.cos40°/sin50°
Answer Preview: cos40 si…

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, Chapter: 10 -Problem: 16 >> The graph of a parabola is given. Match each graph to its equation.(A) y2 = 4x(B) x2 = 4y(C) y2 = -4x(D) x2 = -4y(E) (y - 1)2 = 4(x – 1)(F)  (x + 1)2 = 4(y + 1)(G)  (y - 1)2 = -4(x - 1)(H) (x + 1)2 = -4(y + 1) Transcribed Image Text: (1, 2) -2 2 X -2-
Answer Preview: a the graph has vertex h k 0 0 and opens t…

, Chapter: 4 -Problem: 27 >> In problem, use the graph shown to find(a) The domain and range of each function(b) The intercepts, if any(c) Horizontal asymptotes, if any(d) Vertical asymptotes, if any(e) Oblique asymptotes, if any Transcribed Image Text: (1, 2), (1, 0) (-1, 0) -3 -3
Answer Preview: a Domain x x 0 Range all rea…

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, Chapter: 1 -Problem: 60 >> In problem, find an equation for the line with the given properties. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer Parallel to the line y = -3x; containing the point (-1, 2)
Answer Preview: Parallel to y 3x Slo…

, Chapter: 3 -Problem: 7 >> In problem, determine whether the function is linear or nonlinear. If the function is linear, state its slope.x …………………………… y = f(x)-1 …………………..………… -20 ……………………….……… 31 ………………………….…… 82 ……………………………… 133 ……………………………… 18
Answer Preview: This is a linear function with slope 5 …

, Chapter: 6 -Problem: 28 >> Name the quadrant in which the angle ? lies.sin ? < 0, cos ? > 0
Answer Preview: Since sin 0 for points …

, Chapter: 4 -Problem: 1 >> Graph f(x) = (x - 3)4 - 2 using transformations.
Answer Preview: f x x 3 4 2 Using the …

, Chapter: 2 -Problem: 24 >> In problem, determine whether each relation represents a function. For each function, state the domain and range.{(-4, 4), (-3, 3), (-2, 2), (3, 3)}
Answer Preview: No…

, Chapter: 14 -Problem: 56 >> Use the properties of limits and the facts that where x is in radians, to find the limit.  Transcribed Image Text: sin x cos x – 1 lim lim sin x = 0 lim cos x = 1 lim ?—0 = 0 ? ? || sin? x + sin x(cos x – 1) lim
Answer Preview: lim x0 lim x0 sinx sin x cos x1 x …

, Chapter: 5 -Problem: 125 >> The bacteria in a 4-liter container double every minute.After 60 minutes the container is full. How long did it take to fill half the container?
Answer Preview: Since the number of bacteria do…

, Chapter: 7 -Problem: 5 >> Find the exact value of the expression. Do not use a calculator. cos-1 (-?3/2)
Answer Preview: cos 1 3 2 Find t…

, Chapter: 6 -Problem: 91 >> The Montauk Point Lighthouse on Long Island has dual beams (two light sources opposite each other). Ships at sea observe a blinking light every 5 seconds.What rotation speed is required to do this?
Answer Preview: Since there are two lights on oppos…

, Chapter: 4 -Problem: 52 >> In problem, use the Rational Zeros Theorem to find all the real zeros of each polynomial function. Use the zeros to factor f over the real numbers.f(x) = 2x4 - x3 - 5x2 + 2x + 2
Answer Preview: f x 2x 4 x 3 5x 2 2x 2 Step 1 f x has at most 4 real zeros Step 2 P…

, Chapter: 7 -Problem: 21 >> Use the Half-angle Formulas to find the exact value of expression.tan 7?/8
Answer Preview: 7 tan tan 8 7 4 …

, Chapter: 3 -Problem: 43 >> The point at which a company’s profits equal zero is called the company’s break-even point. For problem, let R represent a company’s revenue, let C represent the company’s costs, and let x represent the number of units produced and sold each day.(a) Find the firm’s break-even point; that is, find x so that R = C.(b) Find the values of x such that R(x) > C(x).This represents the number of units tha
Answer Preview: R x 8x C x 4 5x 17 500 a Solve R x C x The …

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, Chapter: 11 -Problem: 39 >> Solve the system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.  Transcribed Image Text: 2? — 4? 3D —2 ?? + 2? %3D 3 -2
Answer Preview: 2x 4y 2 3x 2y 3 Write the augmented …

, Chapter: 2 -Problem: 8 >> In problem, match each graph to one of the following functions:A. y = x2 + 2B. y = -x2 + 2C. y = |x| + 2D. y

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