Calculus Textbook Questions And Answers

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Chapter: 16 -Problem: 5 >> Plot the pair of points and find the slope of the line passing through them.(3, -4), (5, 2)
Answer Preview: m 2-(-4) 5-3 …

, Chapter: 16 -Problem: 9 >> Sketch the graph of the equation. Identify any intercepts and test for symmetry. Transcribed Image Text: y = -x + 3
Answer Preview: y = 1 2 y-intercept: y +3 …

, Chapter: 16 -Problem: 48 >> (a) Use a graphing utility to graph the functions ƒ, g, and h in the same viewing window. Write a description of any similarities and differences you observe among the graphs.(b) Use the result in part (a) to make a conjecture about the graphs of the functions y = x7 and y = x8. Use a graphing utility to verify your conjecture.
Answer Preview: (a) (b) Odd powers: f(x) = x, g(x) = x, h(x) = x -3 2 -3 -2 8 The graphs …

, Chapter: 16 -Problem: 2 >> There are two tangent lines from the point (0, 1) to the circle x² + (y + 1)2 = 1 (see figure). Find equations of these two lines by using the fact that each tangent line intersects the circle at exactly one point. Transcribed Image Text: -3-2 2 -3 y -4+ 23
Answer Preview: Let y = mx + 1 be a tangent line to the circle from the point (0, 1). Be…

, Chapter: 16 -Problem: 23 >> Find an equation of the line that passes through the point and has the indicated slope. Then sketch the line. Transcribed Image Text: Point Slope (-3,0) m = ?
Answer Preview: y - 0 = -(…

, Chapter: 16 -Problem: 3 >> Estimate the slope of the line from its graph. Transcribed Image Text: NW? ?? 5 4 3 2 1 y 1 2 3 4 5 6 X
Answer Preview: m…

, Chapter: 16 -Problem: 40 >> Find the domain and range of the function.g(x) = ?6 - x
Answer Preview: g(x) = 6-x …

, Chapter: 16 -Problem: 3 >> Hooke's Law states that the force F required to compress or stretch a spring (within its elastic limits) is proportional to the distance d that the spring is compressed or stretched from its original length. That is, F = kd, where k is a measure of the stiffness of the spring and is called the spring constant. The table shows the elongation d in centimeters of a spring when a force of F newtons is
Answer Preview: (a) (b) Th…

, Chapter: 16 -Problem: 1 >> Find any intercepts.y = 5x - 8
Answer Preview: y = 5x 8 x = 0: y = …

, Chapter: 16 -Problem: 7 >> Sketch the graph of the equation by point plotting.y = 4 - x²
Answer Preview: y = 4x y -3 -5 0 (-2…

, Chapter: 16 -Problem: 17 >> For i = 1, 2, let Ti be a triangle with side lengths ai, bi, ci, and area Ai. Suppose that a1, ? a2, b? ? b?, C? ? c?, and that T? is an acute triangle. Does it follow that A1 ? A??
Answer Preview: Yes, A A. To see this, consider the two triangles of area…

, Chapter: 16 -Problem: 11 >> Sketch the graph of the equation. Identify any intercepts and test for symmetry.y = x³ - 4x
Answer Preview: y = x - 4x y-intercept: y = 0 - 4(0) = 0 (0, 0) x-int…

, Chapter: 16 -Problem: 5 >> Maximum Area A rancher plans to fence a rectangular pasture adjacent to a river. The rancher has 100 meters of fencing, and no fencing is needed along the river (see figure).(a) Write the area A of the pasture as a function of x, the length of the side parallel to the river. What is the domain of A?(b) Graph the area function and estimate the dimensions that yield the maximum amount of area for th
Answer Preview: (a) (b) (c) x + 2y …

, Chapter: 16 -Problem: 28 >> Use the slope and -intercept to sketch a graph of the equation.3x + 2y = 12
Answer Preview: 3x + 2y = 12 2y = …

, Chapter: 16 -Problem: 24 >> Find an equation of the line that passes through the point and has the indicated slope. Then sketch the line. Transcribed Image Text: Point (5, 4) Slope 0 = u m = 0
Answer Preview: Because m = 0, the l…

, Chapter: 16 -Problem: 51 >> A machine part was tested by bending it x centimeters 10 times per minute until the time (in hours) of failure. The results are recorded in the table.(a) Use the regression capabilities of a graphing utility to find a linear model for the data.(b) Use a graphing utility to plot the data and graph the model.(c) Use the graph to determine whether there may have been an error made in conducting one o
Answer Preview: (a) (b…

, Chapter: 16 -Problem: 6 >> Sketch the graph of the equation by point plotting.y = 5 - 2x
Answer Preview: y = 5 2x - X y + -1 0 …

, Chapter: 16 -Problem: 3 >> Evaluate the function at the given value(s) of the independent variable. Simplify the results.g(x) = 5 - x²(a) g(0)(b) g(?5)(c) g(-2)(d) g(t - 1)
Answer Preview: (a) (b…

, Chapter: 16 -Problem: 1 >> Estimate the slope of the line from its graph. Transcribed Image Text: 76543 C 2 y 1/2 3 4 5 6 7 X
Answer Preview: m…

, Chapter: 16 -Problem: 49 >> Use the results of Exercise 48 To guess the shapes of the graphs of the functions ƒ, g, and h. Then use a graphing utility to graph each function and compare the result with your guess.(a) ƒ(x) = x²(x - 6)²(b) g(x) = x3(x ? 6)²(c) h(x) = x3(x - 6)³ Data from in Exercise 48Use a graphing utility to graph the functions ƒ, g, and h in the same viewing window. Write a description of any similarities a
Answer Preview: (a) (b) (c) f(x) = x(x - 6) Th…

, Chapter: 16 -Problem: 12 >> Sketch the graph of the equation. Identify any intercepts and test for symmetry.y² = 9 - x
Answer Preview: y = 9 - x y + x = 9 = 0 y-intercept: y = 9-0 = …

, Chapter: 16 -Problem: 6 >> Evaluate the function at the given value(s) of the independent variable. Simplify the results.ƒ(x) = sinx(a) ƒ(?) (b) ƒ(5?/4) (c) ƒ(2?/3)(d) ƒ( - ?/6)
Answer Preview: (a) (b…

, Chapter: 16 -Problem: 2 >> Match the equation with its graph. [The graphs are labeled (a), (b), (c), and (d).](a)(b) (c)(d)y = ?9 - x² Transcribed Image Text: -1 2 y 1
Answer Preview: y = 9 - x x-int…

, Chapter: 16 -Problem: 8 >> Test for symmetry with respect to each axis and to the origin.xy = -2
Answer Preview: Symmetric wit…

, Chapter: 16 -Problem: 5 >> The data show the per capita energy consumptions (in millions of Btu) and the per capita gross national incomes (in thousands of U.S. dollars) for several countries in 2008.(a) Use the regression capabilities of a graphing utility to find a linear model for the data. What is the correlation coefficient?(b) Use a graphing utility to plot the data and graph the model.(c) Interpret the graph in part
Answer Preview: (a) (b) (c) Greater per capita energy consumption by a count…

, Chapter: 16 -Problem: 6 >> Determine whether the data can be modeled by a linear function, a quadratic function, or a trigonometric function, or that there appears to be no relationship between x and y.(a)(b)(c)(d) Transcribed Image Text: y X
Answer Preview: (a) Trigonometric …

, Chapter: 15 -Problem: 37 >> A stone weighing 1 pound is attached to the end of a two-foot string and is whirled horizontally with one end held fixed. It makes 1 revolution per second. Find the work done by the force that keeps the stone moving in a circular path.
Answer Preview: r(t) = 2 os 2ti + 2 sin 2tj r'(t) = -47 sin …

, Chapter: 16 -Problem: 2 >> Evaluate the function at the given value(s) of the independent variable. Simplify the results.ƒ(x) = ?x + 5 (a) ƒ(- 4)(b) ƒ(11)(c) ƒ(4)(d) ƒ(x + ?x)
Answer Preview: (a) (b…

, Chapter: 16 -Problem: 15 >> Find the points of intersection of the graphs of the equations. Transcribed Image Text: 5x + 3y = -1 x - y = -5 ||
Answer Preview: 5x + 3y = -1 y = x - y = -5 y = x …

, Chapter: 16 -Problem: 17 >> Find the points of intersection of the graphs of the equations. Transcribed Image Text: x - y = -5 x² - y = 1
Answer Preview: x - y = -5 y = x + 5 x - y = 1 y = x - …

, Chapter: 16 -Problem: 9 >> A V8 car engine is coupled to a dynamometer, and the horsepower y is measured at different engine speeds x (in thousands of revolutions per minute). The results are shown in the table.(a) Use the regression capabilities of a graphing utility to find a cubic model for the data.(b) Use a graphing utility to plot the data and graph the model.(c) Use the model to approximate the horsepower when the en
Answer Preview: (a) (b) (…

, Chapter: 16 -Problem: 19 >> Plot the points and find the slope of the line passing through them. Transcribed Image Text: (2, 1), (5,2)
Answer Preview: 4 3+ 2+ Slo…

, Chapter: 16 -Problem: 11 >> Let(a) What are the domain and range of ƒ?(b) Find the composition ƒ(ƒ(x)). What is the domain of this function?(c) Find ƒ(ƒ(ƒ(x))). What is the domain of this function?(d) Graph ƒ(ƒ(ƒ(x))). Is the graph a line? Why or why not? Transcribed Image Text: f(x): || 1 1 - x'
Answer Preview: (a) (b…

, Chapter: 16 -Problem: 50 >> What is the minimum degree of the polynomial function whose graph approximates the given graph? What sign must the leading coefficient have?(a)(b)(c)(d) Transcribed Image Text: -4 -2 -2 -4 y 2 4 -X
Answer Preview: (a) 3 (cubic), negative leading co…

, Chapter: 16 -Problem: 7 >> You are in a boat 2 miles from the nearest point on the coast. You are to go to a point Q located 3 miles down the coast and 1 mile inland (see figure). You can row at 2 miles per hour and walk at 4 miles per hour. Write the total time T of the trip as a function of x. Transcribed Image Text: 2 mi 3
Answer Preview: The length of the trip in the …

, Chapter: 16 -Problem: 32 >> Find equations of the lines passing through (2, 4) and having the following characteristics.(a) Slope of -2/3(b) Perpendicular to the line x + y = 0(c) Passing through the point (6, 1)(d) Parallel to the x-axis
Answer Preview: (a) (b) (c) (…

, Chapter: 16 -Problem: 4 >> Match the equation with its graph. [The graphs are labeled (a), (b), (c), and (d).](a)(b) (c)(d)y = x³ - x Transcribed Image Text: -1 2 y 1
Answer Preview: y = x = x x-inter…

, Chapter: 16 -Problem: 25 >> Use the slope and -intercept to sketch a graph of the equation.y = 6
Answer Preview: y = 6 Slope: …

, Chapter: 16 -Problem: 47 >> Use a graphing utility to graph ƒ(x) = x³ -3x². Use the graph to write a formula for the function g shown in the figure.(a)(b) Transcribed Image Text: -2 (0, 1) 6 -1 (2,5) co 8 4
Answer Preview: (a) (b) …

, Chapter: 16 -Problem: 7 >> Evaluate the function at the given value(s) of the independent variable. Simplify the results. Transcribed Image Text: f(x) = x3 f(x + ?x) = f(x) ??
Answer Preview: f(x + 4x) - f(x) …

, Chapter: 16 -Problem: 10 >> Sketch the graph of the equation. Identify any intercepts and test for symmetry.y = -x² + 4
Answer Preview: y = -x + 4 y-intercept: x-intercepts: (-2…

, Chapter: 16 -Problem: 1 >> Consider the circleas shown in the figure.(a) Find the center and radius of the circle.(b) Find an equation of the tangent line to the circle at the point (0, 0).(c) Find an equation of the tangent line to the circle at the point (6, 0).(d) Where do the two tangent lines intersect? Transcribed Image Text:
Answer Preview: (a) (b) (c) (d) x - 6x …

, Chapter: 16 -Problem: 34 >> Break-Even Analysis A contractor purchases a piece of equipment for $36,500 that costs an average of $9.25 per hour for fuel and maintenance. The equipment operator is paid $13.50 per hour, and customers are charged $30 per hour.(a) Write an equation for the cost C of operating this equipment for t hours.(b) Write an equation for the revenue R derived from t hours of use.(c) Find the break-even po
Answer Preview: (a) (b) (c) …

, Chapter: 16 -Problem: 43 >> Sketch the graph of the equation and use the Vertical Line Test to determine whether is a function of x.x - y² = 6
Answer Preview: x = y = 6 y = x - 6 No…

, Chapter: 16 -Problem: 2 >> Find any intercepts.y = x² - 8x + 12
Answer Preview: y = x - 8x + 12 x = 0: y = (…

, Chapter: 16 -Problem: 13 >> Sketch the graph of the equation. Identify any intercepts and test for symmetry.y = 2?4 - x
Answer Preview: y = 24 - x y-intercept: y = 24…

, Chapter: 16 -Problem: 16 >> Find the points of intersection of the graphs of the equations. Transcribed Image Text: 2x + 4y = 9 6x - 4y = 7
Answer Preview: 2x + 4y 9 y = = 6x - 4y=7y: 6x …

, Chapter: 16 -Problem: 5 >> Evaluate the function at the given value(s) of the independent variable. Simplify the results.ƒ(x) = cos 2x(a) ƒ(0)(b) ƒ(- ?/4) (c) ƒ(?/3) (d) ƒ(?)
Answer Preview: (a) (b) …

, Chapter: 16 -Problem: 6 >> Test for symmetry with respect to each axis and to the origin.y = x4 - x² + 3
Answer Preview: Symmetric y = (…

, Chapter: 16 -Problem: 52 >> The data in the table show the median income y(in thousands of dollars) for males of various ages x in the United States in 2009.(a) Use the regression capabilities of a graphing utility to find a quadratic model for the data.(b) Use a graphing utility to plot the data and graph the model.(c) Use the model to approximate the median income for a male who is 26 years old.(d) Use the model to approxi
Answer Preview: (a) (b) (c) (d) …

, Chapter: 16 -Problem: 3 >> Find any intercepts. Transcribed Image Text: y x - 3 x - 4
Answer Preview: y = x - 3 x - 4 x = 0…

, Chapter: 16 -Problem: 4 >> Find any intercepts.y = (x ? 3) ?x + 4
Answer Preview: y = (x 3)x + 4 x = 0: y = (0…

, Chapter: 16 -Problem: 3 >> The Heaviside function H(x) is widely used in engineering applications.Sketch the graph of the Heaviside function and the graphs of the following functions by hand.(a) H(x) - 2(b) H(x - 2)(c) - H(x)(d) H(-x)(e) 1/2H(x)(f) -H(x - 2) + 2 Transcribed Image Text: H(x) = 1, x ? 0 10, x < 0
Answer Preview: (a) (b) (c) (d) …

, Chapter: 16 -Problem: 18 >> Find the points of intersection of the graphs of the equations. Transcribed Image Text: I = A + X- - 1 1 = x² + y
Answer Preview: x + y = 1 y = 1 - x -x + y = 1 y = x + 1 …

, Chapter: 15 -Problem: 19 >> State the Divergence Theorem.
Answer Preview: THEOREM 15 12 The Divergence Theorem Let Q be a solid r…

, Chapter: 16 -Problem: 44 >> Sketch the graph of the equation and use the Vertical Line Test to determine whether is a function of x.x² - y = 0
Answer Preview: x - y = 0 Function …

, Chapter: 16 -Problem: 8 >> Evaluate the function at the given value(s) of the independent variable. Simplify the results. Transcribed Image Text: f(x) = 3x - 1 f(x) = f(1) x-1
Answer Preview: f(x) = f(1) …

, Chapter: 16 -Problem: 12 >> Explain how you would graph the equationThen sketch the graph. Transcribed Image Text: y + y = x + |x|.
Answer Preview: Using the definition of absolute value, you can rewri…

, Chapter: 16 -Problem: 4 >> Estimate the slope of the line from its graph. Transcribed Image Text: 28 24 20 16 12 8 4 A co y FI 123 567 -X
Answer Preview: m…

, Chapter: 16 -Problem: 5 >> Test for symmetry with respect to each axis and to the origin.y = x² + 4x
Answer Preview: does not have s…

, Chapter: 16 -Problem: 3 >> Match the equation with its graph. [The graphs are labeled (a), (b), (c), and (d).](a)(b) (c)(d)y = 3 - x² Transcribed Image Text: -1 2 y 1
Answer Preview: y = 3 - x x-int…

, Chapter: 16 -Problem: 30 >> Find an equation of the line that passes through the points. Then sketch the line.(-5, 5), (10, -1)
Answer Preview: m = y - 5 = 5y 5y + …

, Chapter: 16 -Problem: 6 >> Plot the pair of points and find the slope of the line passing through them.(1, 1), (-2, 7)
Answer Preview: m m = 7-1 -2-1 (…

, Chapter: 16 -Problem: 15 >> Describe a possible real-life situation for each data set. Then describe how a model could be used in the real-life setting. Transcribed Image Text: y ? X
Answer Preview: The given data set could represent the distance travelled by a thrown o…

, Chapter: 16 -Problem: 36 >> Evaluate the function at the given value(s) of the independent variable. Simplify the result.ƒ(x) = x³ - 2x(a) ƒ(-3)(b) ƒ(2)(c) ƒ(-1)(d) ƒ(c ? 1)
Answer Preview: (a) (…

, Chapter: 16 -Problem: 16 >> Describe a possible real-life situation for each data set. Then describe how a model could be used in the real-life setting. Transcribed Image Text: ? -X
Answer Preview: 1. Data set: Customer purchase history Possible real-life situation: A retail store wants to improve its sales and customer satisfaction by analyzing …

, Chapter: 16 -Problem: 1 >> Each ordered pair gives the average weekly wage x for federal government workers and the average weekly wage y for state government workers for 2001 through 2009.(a) Plot the data. From the graph, do the data appear to be approximately linear?(b) Visually find a linear model for the data. Graph the model.(c) Use the model to approximate y when x = 1075.
Answer Preview: (a) and (b) Yes, the data appea…

, Chapter: 16 -Problem: 38 >> Evaluate the function at the given value(s) of the independent variable. Simplify the result. Transcribed Image Text: f(x) = 2x - 6 f(x) = f(-1) x - 1
Answer Preview: f(x) = 2x - 6 f(1) = 2(1…

, Chapter: 16 -Problem: 42 >> Find the domain and range of the function. Transcribed Image Text: h(x) 2 x + 1
Answer Preview: 2 x + 1 Domain: …

, Chapter: 16 -Problem: 14 >> Sketch the graph of the equation. Identify any intercepts and test for symmetry.y = |x - 4| - 4
Answer Preview: y = |x-4-4 y-intercept: y = |04|-4 = (0…

, Chapter: 16 -Problem: 7 >> Test for symmetry with respect to each axis and to the origin.y2 = x² - 5
Answer Preview: Symmetric with respect to …

, Chapter: 16 -Problem: 45 >> Sketch the graph of the equation and use the Vertical Line Test to determine whether is a function of x. Transcribed Image Text: ? = x - 2 x - 2 X
Answer Preview: x= x=2 y X y is a fu…

, Chapter: 16 -Problem: 49 >> Determine whether y is a function of x.y² = x² - 1
Answer Preview: y is not a functio…

, Chapter: 16 -Problem: 26 >> Use the slope and -intercept to sketch a graph of the equation. x = - 3
Answer Preview: x = -3 Slope: …

, Chapter: 16 -Problem: 39 >> Find the domain and range of the function.ƒ(x) = x² + 3
Answer Preview: f(x) = x …

, Chapter: 16 -Problem: 2 >> The ordered pairs represent the scores on two consecutive 15-point quizzes for a class of 15 students.(a) Plot the data. From the graph, does the relationship between consecutive scores appear to be approximately linear?(b) If the data appear to be approximately linear, find a linear model for the data. If not, give some possible explanations.
Answer Preview: (a) The data do not appear to be linear. (b) Quiz …

, Chapter: 16 -Problem: 41 >> Find the domain and range of the function.ƒ(x) = -|x + 1|
Answer Preview: f(x) = -x …

, Chapter: 16 -Problem: 5 >> Sketch the graph of the equation by point plotting.y = 1/2x + 2
Answer Preview: y = x + 2 -4 X y …

, Chapter: 16 -Problem: 9 >> Plot the pair of points and find the slope of the line passing through them. Transcribed Image Text: 31 (-1, 3), (-1, 1)
Answer Preview: m = 2 3 $ 1 2 1 …

, Chapter: 16 -Problem: 31 >> Find equations of the lines passing through (-3, 5) and having the following characteristics.(a) Slope of 7/16(b) Parallel to the line 5x - 3y = 3(c) Perpendicular to the line 3x + 4y = 8(d) Parallel to the y-axis
Answer Preview: (a) (b) (c) …

, Chapter: 16 -Problem: 20 >> Plot the points and find the slope of the line passing through them.(-7, 8), (-1, 8)
Answer Preview: The line is hor…

, Chapter: 16 -Problem: 53 >> The motion of an oscillating weight suspended by a spring was measured by a motion detector. The data collected and the approximate maximum (positive and negative) displacements from equilibrium are shown in the figure. The displacement y is measured in feet, and the time t is measured in seconds.(a) Is y a function of t? Explain.(b) Approximate the amplitude and period of the oscillations.(c) Fin
Answer Preview: (a) Yes, y is a function of t. At eac…

, Chapter: 16 -Problem: 4 >> Evaluate the function at the given value(s) of the independent variable. Simplify the results.g(x) = x²(x - 4)(a) g(4)(b) g(3/2)(c) g(c)(d) g(t + 4)
Answer Preview: (a) (b…

, Chapter: 16 -Problem: 1 >> Evaluate the function at the given value(s) of the independent variable. Simplify the results.ƒ(x) = 7x - 4(a) ƒ(0)(b) ƒ(-3)(c) ƒ(b)(d) ƒ(x - 1)
Answer Preview: (a) (b) …

, Chapter: 16 -Problem: 37 >> Evaluate the function at the given value(s) of the independent variable. Simplify the result. Transcribed Image Text: f(x) = 4x2 f(x + ?x) = f(x) · ??
Answer Preview: f(x) = 4x2 f(x + + 4x) - …

, Chapter: 16 -Problem: 6 >> Maximum Area A rancher has 300 feet of fencing to enclose two adjacent pastures (see figure).(a) Write the total area A of the two pastures as a function of x. What is the domain of A?(b) Graph the area function and estimate the dimensions that yield the maximum amount of area for the pastures.(c) Find the dimensions that yield the maximum amount of area for the pastures by completing the square.
Answer Preview: (a) (b) (c) 4y+ 3x3…

, Chapter: 16 -Problem: 33 >> The purchase price of a new machine is $12,500, and its value will decrease by $850 per year. Use this information to write a linear equation that gives the value V of the machine t years after it is purchased. Find its value at the end of 3 years.
Answer Preview: The slope is -…

, Chapter: 16 -Problem: 4 >> In an experiment, students measured the speed s (in meters per second) of a falling object t seconds after it was released. The results are shown in the table.(a) Use the regression capabilities of a graphing utility to find a linear model for the data.(b) Use a graphing utility to plot the data and graph the model. How well does the model fit the data? Explain.(c) Use the model to estimate the sp
Answer Preview: (a) (b) Th…

, Chapter: 16 -Problem: 21 >> Find an equation of the line that passes through the point and has the indicated slope. Then sketch the line. Transcribed Image Text: Point (3,-5) Slope 7 4 m
Answer Preview: y - (-5) = y + 5 = 4y + …

, Chapter: 16 -Problem: 27 >> Use the slope and -intercept to sketch a graph of the equation.y = 4x - 2
Answer Preview: y = 4x - 2 Slo…

, Chapter: 16 -Problem: 15 >> Let d1 and d2 be the distances from the point (x, y) to the points (-1, 0) and (1, 0), respectively, as shown in the figure. Show that the equation of the graph of all points (x, y) satisfying d1d? = 1 isThis curve is called a lemniscate. Graph the lemniscate and identify three points on the graph. Transcribed Image Text:
Answer Preview: dd = 1 [(x + 1 + y(x-1) + y]-1 = = (x + 1)(x 1) + y[(x + 1) + …

, Chapter: 16 -Problem: 8 >> You drive to the beach at a rate of 120 kilometers per hour. On the return trip, you drive at a rate of 60 kilometers per hour. What is your average speed for the entire trip? Explain your reasoning.
Answer Preview: Let d be the distance from …

, Chapter: 16 -Problem: 35 >> Sketch a graph of the function and find its domain and range. Use a graphing utility to verify your graph. Transcribed Image Text: h(x) || ?x-6
Answer Preview: h(x) = x - 6 …

, Chapter: 16 -Problem: 1 >> Match the equation with its graph. [The graphs are labeled (a), (b), (c), and (d).](a)(b) (c)(d)y = -3/2x + 3 Transcribed Image Text: -1 2 y 1
Answer Preview: y = -x + 3 x-…

, Chapter: 16 -Problem: 29 >> Find an equation of the line that passes through the points. Then sketch the line.(0, 0), (8, 2)
Answer Preview: m = y-0 = y II …

, Chapter: 16 -Problem: 13 >> Sound Intensity A large room contains two speakers that are 3 meters apart. The sound intensity I of one speaker is twice that of the other, as shown in the figure. (To print an enlarged copy of the graph, go to MathGraphs.com.) Suppose the listener is free to move about the room to find those positions that receive equal amounts of sound from both speakers. Such a location satisfies two condition
Answer Preview: (a) (b) I x x - 6x …

, Chapter: 16 -Problem: 14 >> Suppose the speakers in Exercise 13 are 4 meters apart and the sound intensity of one speaker is k times that of the other, as shown in the figure.(a) Find the equation of all locations (x, y) where one could stand and receive equal amounts of sound from both speakers.(b) Graph the equation for the case k = 3.(c) Describe the set of locations of equal sound as k becomes very large.
Answer Preview: (a) (b) (c) I x + y kl (x-4) + y (x 4) + y = k(x …

, Chapter: 16 -Problem: 22 >> Find an equation of the line that passes through the point and has the indicated slope. Then sketch the line. Transcribed Image Text: Point (-8, 1) Slope m is undefined.
Answer Preview: Because m is x = -8 …

, Chapter: 16 -Problem: 46 >> Sketch the graph of the equation and use the Vertical Line Test to determine whether is a function of x.x = 9 - y²
Answer Preview: x = 9 - y Not a functio…

, Chapter: 16 -Problem: 2 >> Estimate the slope of the line from its graph. Transcribed Image Text: 765 6 y 3. 2 1 1 2 3 4 5 6 7 X
Answer Preview: m…