Finite Mathematics and Calculus with Applications (10th Edition)
10th Edition
ISBN: 9780321979407
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
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Chapter 17.1, Problem 27E
To determine
To match: The equation
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In Exercises 13–14, use the given conditions to write an equation
for each line in point-slope form and slope-intercept form.
13. Passing through (2,4) and (4, -2)
14. Passing through (-1,0) and parallel to the line whose
equation is 3x + y = 6
Exercises 123–125 will help you prepare for the material covered
in the next section.
123. Write the equation y - 5 = 7(x + 4) in slope-intercept
form.
124. Write the equation y + 3
7
(x – 1) in slope-intercept
form.
125. The equation of a line is x + 4y – 8 = 0.
a. Write the equation in slope-intercept form and
determine the slope.
b. The product of the line's slope in part (a) and the
slope of a second line is -1. What is the slope of the
second line?
In Exercises 25–27, use the given conditions to write an equation
for each line in point-slope form and slope-intercept form.
25. Passing through (-1, –3) and (4, 2)
26. Passing through (-2, 3) and perpendicular to the line
whose equation is y = -3x – 4
27. Passing through (6, -4) and parallel to the line
whose equation is x + 2y = 5
Chapter 17 Solutions
Finite Mathematics and Calculus with Applications (10th Edition)
Ch. 17.1 - For the function in Example 1, find f(2, 3)....Ch. 17.1 - Prob. 2YTCh. 17.1 - Prob. 3YTCh. 17.1 - Prob. 4YTCh. 17.1 - Prob. 1WECh. 17.1 - Prob. 2WECh. 17.1 - Prob. 3WECh. 17.1 - Prob. 4WECh. 17.1 - Prob. 5WECh. 17.1 - Prob. 6WE
Ch. 17.1 - Let f(x, y) = 2x 3y + 5. Find the following....Ch. 17.1 - Prob. 2ECh. 17.1 - Prob. 3ECh. 17.1 - Prob. 4ECh. 17.1 - Prob. 5ECh. 17.1 - Prob. 6ECh. 17.1 - Prob. 7ECh. 17.1 - Prob. 8ECh. 17.1 - Graph the first-octant portion of each plane. 9.2x...Ch. 17.1 - Prob. 10ECh. 17.1 - Prob. 11ECh. 17.1 - Prob. 12ECh. 17.1 - Prob. 13ECh. 17.1 - Prob. 14ECh. 17.1 - Prob. 15ECh. 17.1 - Prob. 16ECh. 17.1 - Prob. 17ECh. 17.1 - Prob. 18ECh. 17.1 - Prob. 19ECh. 17.1 - Prob. 20ECh. 17.1 - Prob. 21ECh. 17.1 - Prob. 22ECh. 17.1 - Match each equation in Exercises 2328 with its...Ch. 17.1 - Prob. 24ECh. 17.1 - Prob. 25ECh. 17.1 - Match each equation in Exercises 2328 with its...Ch. 17.1 - Prob. 27ECh. 17.1 - Prob. 28ECh. 17.1 - Prob. 29ECh. 17.1 - Prob. 30ECh. 17.1 - Prob. 31ECh. 17.1 - Prob. 32ECh. 17.1 - Prob. 33ECh. 17.1 - Prob. 34ECh. 17.1 - Production Find the level curve at a production of...Ch. 17.1 - Prob. 36ECh. 17.1 - Prob. 37ECh. 17.1 - Individual Retirement Accounts The multiplier...Ch. 17.1 - Individual Retirement Accounts The multiplier...Ch. 17.1 - Heat Loss The rate of heal loss (in watts) in...Ch. 17.1 - Prob. 41ECh. 17.1 - Prob. 42ECh. 17.1 - Pollution Intolerance According to research at the...Ch. 17.1 - Dengue Fever In tropical regions, dengue fever is...Ch. 17.1 - Prob. 45ECh. 17.1 - Prob. 46ECh. 17.1 - Prob. 47ECh. 17.1 - Prob. 48ECh. 17.1 - Prob. 49ECh. 17.1 - Prob. 50ECh. 17.1 - Prob. 51ECh. 17.2 - Prob. 1YTCh. 17.2 - Prob. 2YTCh. 17.2 - Prob. 3YTCh. 17.2 - Prob. 4YTCh. 17.2 - Prob. 1WECh. 17.2 - Prob. 2WECh. 17.2 - Prob. 3WECh. 17.2 - Prob. 4WECh. 17.2 - Prob. 5WECh. 17.2 - Prob. 6WECh. 17.2 - Prob. 7WECh. 17.2 - Prob. 8WECh. 17.2 - Prob. 1ECh. 17.2 - Prob. 2ECh. 17.2 - Prob. 3ECh. 17.2 - Prob. 4ECh. 17.2 - Prob. 5ECh. 17.2 - Prob. 6ECh. 17.2 - Prob. 7ECh. 17.2 - Prob. 8ECh. 17.2 - Prob. 9ECh. 17.2 - Prob. 10ECh. 17.2 - Prob. 11ECh. 17.2 - Prob. 12ECh. 17.2 - Prob. 13ECh. 17.2 - Prob. 14ECh. 17.2 - Prob. 15ECh. 17.2 - Prob. 16ECh. 17.2 - Prob. 17ECh. 17.2 - Prob. 18ECh. 17.2 - Prob. 19ECh. 17.2 - Prob. 20ECh. 17.2 - Prob. 21ECh. 17.2 - Prob. 22ECh. 17.2 - Prob. 23ECh. 17.2 - Prob. 24ECh. 17.2 - Prob. 25ECh. 17.2 - Prob. 26ECh. 17.2 - Prob. 27ECh. 17.2 - Prob. 28ECh. 17.2 - Prob. 29ECh. 17.2 - Prob. 30ECh. 17.2 - Prob. 31ECh. 17.2 - Prob. 32ECh. 17.2 - Prob. 33ECh. 17.2 - Prob. 34ECh. 17.2 - Prob. 35ECh. 17.2 - Prob. 36ECh. 17.2 - Prob. 37ECh. 17.2 - Prob. 38ECh. 17.2 - Prob. 39ECh. 17.2 - Prob. 40ECh. 17.2 - Find fx(x,y,z),fy(x,y,z),fz(x,y,z), and fyz(x,y,z)...Ch. 17.2 - Prob. 42ECh. 17.2 - Prob. 43ECh. 17.2 - Prob. 44ECh. 17.2 - Business and Economics 45.Manufacturing Cost...Ch. 17.2 - Prob. 46ECh. 17.2 - Prob. 47ECh. 17.2 - Prob. 48ECh. 17.2 - Prob. 49ECh. 17.2 - Prob. 50ECh. 17.2 - Prob. 51ECh. 17.2 - Prob. 52ECh. 17.2 - Prob. 53ECh. 17.2 - Prob. 54ECh. 17.2 - Prob. 55ECh. 17.2 - Prob. 56ECh. 17.2 - Prob. 57ECh. 17.2 - Prob. 58ECh. 17.2 - Prob. 59ECh. 17.2 - Prob. 60ECh. 17.2 - Prob. 61ECh. 17.2 - Prob. 62ECh. 17.2 - Drug Reaction The reaction to x units of a drug t...Ch. 17.2 - Prob. 64ECh. 17.2 - Prob. 66ECh. 17.2 - Prob. 67ECh. 17.2 - Prob. 68ECh. 17.2 - Gravitational Attraction The gravitational...Ch. 17.2 - Velocity In 1931, Albert Einstein developed the...Ch. 17.2 - Prob. 71ECh. 17.3 - Prob. 1YTCh. 17.3 - Prob. 2YTCh. 17.3 - Prob. 1WECh. 17.3 - Prob. 2WECh. 17.3 - Prob. 1ECh. 17.3 - Prob. 2ECh. 17.3 - Prob. 3ECh. 17.3 - Prob. 4ECh. 17.3 - Prob. 5ECh. 17.3 - Prob. 6ECh. 17.3 - Prob. 7ECh. 17.3 - Prob. 8ECh. 17.3 - Prob. 9ECh. 17.3 - Prob. 10ECh. 17.3 - Prob. 11ECh. 17.3 - Prob. 12ECh. 17.3 - Prob. 13ECh. 17.3 - Prob. 14ECh. 17.3 - Prob. 15ECh. 17.3 - Prob. 16ECh. 17.3 - Prob. 17ECh. 17.3 - Prob. 18ECh. 17.3 - Prob. 19ECh. 17.3 - Prob. 20ECh. 17.3 - Prob. 21ECh. 17.3 - Prob. 22ECh. 17.3 - Prob. 23ECh. 17.3 - Figures (a)(f) show the graphs of the functions...Ch. 17.3 - Prob. 25ECh. 17.3 - Prob. 26ECh. 17.3 - Prob. 27ECh. 17.3 - Prob. 28ECh. 17.3 - Prob. 29ECh. 17.3 - Prob. 30ECh. 17.3 - Prob. 31ECh. 17.3 - Prob. 32ECh. 17.3 - Prob. 33ECh. 17.3 - Prob. 34ECh. 17.3 - Prob. 35ECh. 17.3 - Prob. 36ECh. 17.3 - Prob. 37ECh. 17.3 - Prob. 38ECh. 17.3 - Prob. 39ECh. 17.3 - Prob. 40ECh. 17.3 - Prob. 42ECh. 17.4 - Prob. 1YTCh. 17.4 - Prob. 1WECh. 17.4 - Prob. 2WECh. 17.4 - Find the relative maxima or minima in Exercises...Ch. 17.4 - Find the relative maxima or minima in Exercises...Ch. 17.4 - Find the relative maxima or minima in Exercises...Ch. 17.4 - Find the relative maxima or minima in Exercises...Ch. 17.4 - Find the relative maxima or minima in Exercises...Ch. 17.4 - Find the relative maxima or minima in Exercises...Ch. 17.4 - Find the relative maxima or minima in Exercises...Ch. 17.4 - Find the relative maxima or minima in Exercises...Ch. 17.4 - Find the relative maxima or minima in Exercises...Ch. 17.4 - Find the relative maxima or minima in Exercises...Ch. 17.4 - Prob. 11ECh. 17.4 - Find positive numbers x and y such that x + y = 48...Ch. 17.4 - Prob. 13ECh. 17.4 - Prob. 14ECh. 17.4 - Find the maximum and minimum values of f(x, y) =x3...Ch. 17.4 - Prob. 16ECh. 17.4 - Prob. 17ECh. 17.4 - Prob. 18ECh. 17.4 - Prob. 19ECh. 17.4 - Prob. 20ECh. 17.4 - Prob. 21ECh. 17.4 - Discuss the advantages and disadvantages of the...Ch. 17.4 - Prob. 23ECh. 17.4 - Prob. 24ECh. 17.4 - Prob. 25ECh. 17.4 - Prob. 26ECh. 17.4 - Prob. 27ECh. 17.4 - Prob. 28ECh. 17.4 - Prob. 29ECh. 17.4 - Prob. 30ECh. 17.4 - Prob. 31ECh. 17.4 - Prob. 32ECh. 17.4 - Prob. 33ECh. 17.4 - Prob. 34ECh. 17.4 - Prob. 35ECh. 17.4 - Prob. 36ECh. 17.4 - Prob. 37ECh. 17.4 - Prob. 38ECh. 17.4 - Prob. 39ECh. 17.4 - Prob. 40ECh. 17.4 - Prob. 41ECh. 17.4 - Prob. 42ECh. 17.5 - Prob. 1YTCh. 17.5 - Prob. 2YTCh. 17.5 - Prob. 3YTCh. 17.5 - Prob. 1WECh. 17.5 - Prob. 2WECh. 17.5 - Prob. 3WECh. 17.5 - Prob. 4WECh. 17.5 - Prob. 1ECh. 17.5 - Prob. 2ECh. 17.5 - Prob. 3ECh. 17.5 - Prob. 4ECh. 17.5 - Prob. 5ECh. 17.5 - Prob. 6ECh. 17.5 - Prob. 7ECh. 17.5 - Prob. 8ECh. 17.5 - Prob. 9ECh. 17.5 - Prob. 10ECh. 17.5 - Prob. 11ECh. 17.5 - Prob. 12ECh. 17.5 - Prob. 13ECh. 17.5 - Prob. 14ECh. 17.5 - Prob. 15ECh. 17.5 - Prob. 16ECh. 17.5 - Volume of a Coating An industrial coaling 0.1 in....Ch. 17.5 - Prob. 18ECh. 17.5 - Prob. 19ECh. 17.5 - Prob. 20ECh. 17.5 - Prob. 21ECh. 17.5 - Prob. 22ECh. 17.5 - Prob. 23ECh. 17.5 - Prob. 24ECh. 17.5 - Life Span As we saw in Exercise 62 of Section...Ch. 17.5 - Prob. 26ECh. 17.5 - Prob. 27ECh. 17.5 - Prob. 28ECh. 17.5 - Prob. 29ECh. 17.5 - Prob. 30ECh. 17.5 - Prob. 31ECh. 17.5 - Prob. 32ECh. 17.5 - Prob. 33ECh. 17.5 - Prob. 34ECh. 17.5 - Prob. 35ECh. 17.6 - Prob. 1YTCh. 17.6 - Evaluate 02[13(6x2y2+4xy+8x3+10y4+3)dy]dx and then...Ch. 17.6 - Prob. 3YTCh. 17.6 - Prob. 4YTCh. 17.6 - Prob. 5YTCh. 17.6 - Prob. 1WECh. 17.6 - Evaluate each definite integral. W2.23x+6dxCh. 17.6 - Prob. 3WECh. 17.6 - Prob. 4WECh. 17.6 - Prob. 5WECh. 17.6 - Prob. 6WECh. 17.6 - Prob. 1ECh. 17.6 - Prob. 2ECh. 17.6 - Prob. 3ECh. 17.6 - Prob. 4ECh. 17.6 - Prob. 5ECh. 17.6 - Prob. 6ECh. 17.6 - Prob. 7ECh. 17.6 - Prob. 8ECh. 17.6 - Prob. 9ECh. 17.6 - Prob. 10ECh. 17.6 - Prob. 11ECh. 17.6 - Prob. 12ECh. 17.6 - Prob. 13ECh. 17.6 - Prob. 14ECh. 17.6 - Prob. 15ECh. 17.6 - Prob. 16ECh. 17.6 - Prob. 17ECh. 17.6 - Prob. 18ECh. 17.6 - Prob. 19ECh. 17.6 - Prob. 20ECh. 17.6 - Prob. 21ECh. 17.6 - Prob. 22ECh. 17.6 - Prob. 23ECh. 17.6 - Prob. 24ECh. 17.6 - Prob. 25ECh. 17.6 - Prob. 26ECh. 17.6 - Prob. 27ECh. 17.6 - Prob. 28ECh. 17.6 - Prob. 29ECh. 17.6 - Prob. 30ECh. 17.6 - Prob. 31ECh. 17.6 - Prob. 32ECh. 17.6 - Prob. 33ECh. 17.6 - Prob. 34ECh. 17.6 - Prob. 35ECh. 17.6 - Prob. 36ECh. 17.6 - Prob. 37ECh. 17.6 - Prob. 38ECh. 17.6 - Prob. 39ECh. 17.6 - Prob. 40ECh. 17.6 - Prob. 41ECh. 17.6 - Prob. 42ECh. 17.6 - Prob. 43ECh. 17.6 - Use the region R with the indicated boundaries to...Ch. 17.6 - Prob. 45ECh. 17.6 - Prob. 46ECh. 17.6 - Prob. 47ECh. 17.6 - Prob. 48ECh. 17.6 - Prob. 49ECh. 17.6 - Prob. 50ECh. 17.6 - Prob. 51ECh. 17.6 - Prob. 52ECh. 17.6 - Prob. 53ECh. 17.6 - Prob. 54ECh. 17.6 - Prob. 55ECh. 17.6 - Prob. 56ECh. 17.6 - Prob. 57ECh. 17.6 - Prob. 58ECh. 17.6 - Prob. 59ECh. 17.6 - Prob. 60ECh. 17.6 - Prob. 61ECh. 17.6 - Prob. 62ECh. 17.6 - Prob. 63ECh. 17.6 - Prob. 64ECh. 17.6 - Prob. 65ECh. 17.6 - Prob. 66ECh. 17.6 - Prob. 67ECh. 17.6 - Prob. 68ECh. 17.6 - Prob. 69ECh. 17.6 - Time In Exercise 39 of Section 17.3, we saw that...Ch. 17.6 - Profit In Exercise 38 of Section 17.3, we saw that...Ch. 17 - Determine whether each of the following statements...Ch. 17 - Prob. 2RECh. 17 - Prob. 3RECh. 17 - Prob. 4RECh. 17 - Prob. 5RECh. 17 - Prob. 6RECh. 17 - Prob. 7RECh. 17 - Prob. 8RECh. 17 - Prob. 9RECh. 17 - Prob. 10RECh. 17 - Prob. 11RECh. 17 - Prob. 12RECh. 17 - Prob. 13RECh. 17 - Prob. 14RECh. 17 - Prob. 15RECh. 17 - Prob. 16RECh. 17 - Prob. 17RECh. 17 - Prob. 18RECh. 17 - Prob. 19RECh. 17 - Prob. 20RECh. 17 - Prob. 21RECh. 17 - Prob. 22RECh. 17 - Prob. 23RECh. 17 - Prob. 24RECh. 17 - Prob. 25RECh. 17 - Prob. 26RECh. 17 - Prob. 27RECh. 17 - Prob. 28RECh. 17 - Prob. 29RECh. 17 - Prob. 30RECh. 17 - Prob. 31RECh. 17 - Prob. 32RECh. 17 - Prob. 33RECh. 17 - Prob. 34RECh. 17 - Prob. 35RECh. 17 - Prob. 36RECh. 17 - Prob. 37RECh. 17 - Prob. 38RECh. 17 - Prob. 39RECh. 17 - Prob. 40RECh. 17 - Prob. 41RECh. 17 - Prob. 42RECh. 17 - Prob. 43RECh. 17 - Prob. 44RECh. 17 - Prob. 45RECh. 17 - Prob. 46RECh. 17 - Prob. 47RECh. 17 - Prob. 48RECh. 17 - Prob. 49RECh. 17 - Prob. 50RECh. 17 - Prob. 51RECh. 17 - Prob. 52RECh. 17 - Prob. 53RECh. 17 - Prob. 54RECh. 17 - Prob. 55RECh. 17 - Prob. 56RECh. 17 - Prob. 57RECh. 17 - Prob. 58RECh. 17 - Evaluate dz using the given information. 59.z =...Ch. 17 - Prob. 60RECh. 17 - Prob. 61RECh. 17 - Prob. 62RECh. 17 - Prob. 63RECh. 17 - Prob. 64RECh. 17 - Prob. 65RECh. 17 - Prob. 66RECh. 17 - Prob. 67RECh. 17 - Prob. 68RECh. 17 - Prob. 69RECh. 17 - Prob. 70RECh. 17 - Prob. 71RECh. 17 - Prob. 72RECh. 17 - Prob. 73RECh. 17 - Prob. 74RECh. 17 - Prob. 75RECh. 17 - Prob. 76RECh. 17 - Prob. 77RECh. 17 - Prob. 78RECh. 17 - Prob. 79RECh. 17 - Prob. 80RECh. 17 - Prob. 81RECh. 17 - Prob. 82RECh. 17 - Prob. 83RECh. 17 - Evaluate each double integral. If the function...Ch. 17 - Prob. 85RECh. 17 - Prob. 86RECh. 17 - Prob. 87RECh. 17 - Prob. 88RECh. 17 - Prob. 89RECh. 17 - Prob. 90RECh. 17 - Prob. 91RECh. 17 - Prob. 92RECh. 17 - Prob. 93RECh. 17 - Prob. 94RECh. 17 - Prob. 95RECh. 17 - Prob. 96RECh. 17 - Profit The total profit from 1 acre of a certain...Ch. 17 - Prob. 98RECh. 17 - Prob. 99RECh. 17 - Prob. 100RECh. 17 - Prob. 101RECh. 17 - Prob. 102RECh. 17 - Prob. 103RECh. 17 - Prob. 104RECh. 17 - Prob. 105RECh. 17 - Prob. 106RE
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- In Exercises 17–19, graph each equation in a rectangular coordinate system. 17. y = 2x – 1 18. y = 1 - |x| 19. y = x + 2 %3Darrow_forwardSketch the graph of 3x - y = 2.arrow_forwardIn Exercises 37–38, graph the two equations and find the points at which the graphs intersect. 37. y = -x2, y = 2x2 - 1 38. x2 + y2 = 1, (x - 1)2 + y2 = 1arrow_forward
- represent the graph of y = x + 1?arrow_forwardExercises 39-42: Write the requested equation. Then graph the given equation and your equation. 39. Reflect f(x) = Vx+ 1 across the x-axis. 40. Reflect f(x) = |x| – 1 across the x-axis. 41. Reflect f(x) = x² - x across the y-axis. 42. Reflect f(x) = V-x + 1 across the y-axis.arrow_forwardExplain the effects of changes in “a” and “c” on the graph of y = ax2 + c. Graphical representationsarrow_forward
- 2)Graph the function y=x³ + 2x²+1arrow_forwardIn Exercises 41–44, write a function in slope-intercept form whose graph satisfies the given conditions. 41. Slope = -2, passing through (-4, 3) 42. Passing through (-1, –5) and (2, 1) 43. Passing through (3, -4) and parallel to the line whose equation is 3x - y - 5 = 0 44. Passing through (-4, -3) and perpendicular to the line whose equation is 2x – 5y – 10 = 0arrow_forwardFor Exercises 93–94, graph the equations on the standard viewing window. (See Example 7) 93. а. у 3D х b. y = |x| – 9 94. а. у 3D Vх + 4 b. y = |x – 2|arrow_forward
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