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 1.2, Problem 6E
To determine
To find: The value of
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In Exercises 13-14, find the domain of each function.
13. f(x) 3 (х +2)(х — 2)
14. g(x)
(х + 2)(х — 2)
In Exercises 15–22, let
f(x) = x? – 3x + 8 and g(x) = -2x – 5.
Your cardiac index is your heart's output, in liters of blood per
minute, divided by your body's surface area, in square meters. The
cardiac index, C(x), can be modeled by
7.644
C(x) =
10 s xs 80,
where x is an individual's age, in years. The graph of the function
is shown. Use the function to solve Exercises 95–96.
7.644
C(x) =
%3D
10 20 30 40 50 60 70 80 90
Age
95. a. Find the cardiac index of a 32-year-old. Express the
denominator in simplified radical form and reduce the
fraction.
b. Use the form of the answer in part (a) and a calculator
to express the cardiac index to the nearest hundredth.
Identify your solution as a point on the graph.
96. a. Find the cardiac index of an 80-year-old. Express the
denominator in simplified radical form and reduce the
fraction.
Cardiac Index
liters per minute
squar e met ers
654 32
2. Write g(h(x)) as an expression in terms of x.
g(x) = 3 - x2 and h(x) = 4 - 3x
%3D
Chapter 1 Solutions
Finite Mathematics and Calculus with Applications (10th Edition)
Ch. 1.1 - Find the slope of the line through (1, 5) and (4,...Ch. 1.1 - Find the equation of the line with x-intercept 4...Ch. 1.1 - Prob. 3YTCh. 1.1 - Find the equation of the line through (2, 9) and...Ch. 1.1 - Prob. 5YTCh. 1.1 - Prob. 6YTCh. 1.1 - Prob. 1WECh. 1.1 - Prob. 2WECh. 1.1 - Prob. 3WECh. 1.1 - Prob. 4WE
Ch. 1.1 - Prob. 1ECh. 1.1 - Prob. 2ECh. 1.1 - Prob. 3ECh. 1.1 - Prob. 4ECh. 1.1 - Prob. 5ECh. 1.1 - Prob. 6ECh. 1.1 - Prob. 7ECh. 1.1 - Prob. 8ECh. 1.1 - Prob. 9ECh. 1.1 - Prob. 10ECh. 1.1 - Prob. 11ECh. 1.1 - Prob. 12ECh. 1.1 - Prob. 13ECh. 1.1 - Prob. 14ECh. 1.1 - In Exercises 1524, find an equation in...Ch. 1.1 - Prob. 16ECh. 1.1 - In Exercises 1524, find an equation in...Ch. 1.1 - Prob. 18ECh. 1.1 - In Exercises 1524, find an equation in...Ch. 1.1 - Prob. 20ECh. 1.1 - In Exercises 1524, find an equation in...Ch. 1.1 - Prob. 22ECh. 1.1 - In Exercises 1524, find an equation in...Ch. 1.1 - Prob. 24ECh. 1.1 - Prob. 25ECh. 1.1 - Prob. 26ECh. 1.1 - Prob. 27ECh. 1.1 - In Exercises 2534, find an equation for each line...Ch. 1.1 - Prob. 29ECh. 1.1 - Prob. 30ECh. 1.1 - Prob. 31ECh. 1.1 - Prob. 32ECh. 1.1 - Prob. 33ECh. 1.1 - Prob. 34ECh. 1.1 - Prob. 35ECh. 1.1 - Prob. 36ECh. 1.1 - Prob. 37ECh. 1.1 - Prob. 38ECh. 1.1 - Prob. 39ECh. 1.1 - Prob. 40ECh. 1.1 - Prob. 41ECh. 1.1 - Prob. 42ECh. 1.1 - Prob. 43ECh. 1.1 - Prob. 44ECh. 1.1 - Prob. 45ECh. 1.1 - Prob. 46ECh. 1.1 - Prob. 47ECh. 1.1 - Graph each equation. 48. y = 6x + 12Ch. 1.1 - Prob. 49ECh. 1.1 - Prob. 50ECh. 1.1 - Prob. 51ECh. 1.1 - Prob. 52ECh. 1.1 - Prob. 53ECh. 1.1 - Prob. 54ECh. 1.1 - Prob. 55ECh. 1.1 - Prob. 56ECh. 1.1 - Prob. 57ECh. 1.1 - Graph each equation. 58. y = 5xCh. 1.1 - Graph each equation. 59. x + 4y = 0Ch. 1.1 - Prob. 60ECh. 1.1 - Prob. 61ECh. 1.1 - Prob. 62ECh. 1.1 - Prob. 63ECh. 1.1 - Prob. 64ECh. 1.1 - Prob. 65ECh. 1.1 - Life Sciences 66. HIV Infection The time interval...Ch. 1.1 - Prob. 67ECh. 1.1 - Prob. 68ECh. 1.1 - Prob. 69ECh. 1.1 - Prob. 70ECh. 1.1 - Prob. 71ECh. 1.1 - Prob. 72ECh. 1.1 - Prob. 73ECh. 1.1 - Prob. 74ECh. 1.1 - Prob. 75ECh. 1.2 - Calculate g(5). Let g(x) = 4x + 5.Ch. 1.2 - Prob. 2YTCh. 1.2 - Prob. 3YTCh. 1.2 - Prob. 4YTCh. 1.2 - Prob. 5YTCh. 1.2 - Prob. 6YTCh. 1.2 - Prob. 1WECh. 1.2 - Prob. 2WECh. 1.2 - Prob. 1ECh. 1.2 - Prob. 2ECh. 1.2 - Prob. 3ECh. 1.2 - Prob. 4ECh. 1.2 - Prob. 5ECh. 1.2 - Prob. 6ECh. 1.2 - Prob. 7ECh. 1.2 - Prob. 8ECh. 1.2 - Prob. 9ECh. 1.2 - Prob. 10ECh. 1.2 - Prob. 11ECh. 1.2 - In Exercises 1114, decide whether the statement is...Ch. 1.2 - Prob. 13ECh. 1.2 - Prob. 14ECh. 1.2 - Prob. 15ECh. 1.2 - Prob. 16ECh. 1.2 - Prob. 17ECh. 1.2 - Prob. 18ECh. 1.2 - Write a linear cost function for each situation....Ch. 1.2 - Prob. 20ECh. 1.2 - Write a linear cost function for each situation....Ch. 1.2 - Prob. 22ECh. 1.2 - Assume that each situation can be expressed as a...Ch. 1.2 - Prob. 24ECh. 1.2 - Assume that each situation can be expressed as a...Ch. 1.2 - Prob. 26ECh. 1.2 - Business and Economics 27. Supply and Demand...Ch. 1.2 - Supply and Demand Suppose that the demand and...Ch. 1.2 - Supply and Demand Let the supply and demand...Ch. 1.2 - Supply and Demand Let the supply and demand...Ch. 1.2 - Supply and Demand Suppose that the supply function...Ch. 1.2 - Prob. 32ECh. 1.2 - Break-Even Analysis Producing x units of tacos...Ch. 1.2 - Prob. 34ECh. 1.2 - T-Shirt Cost Joanne Wendelken sells silk-screened...Ch. 1.2 - Prob. 36ECh. 1.2 - Marginal Cost of Coffee The manager of a...Ch. 1.2 - Marginal Cost of a New Plant In deciding whether...Ch. 1.2 - Break-Even Analysis You are the manager of a firm....Ch. 1.2 - Prob. 40ECh. 1.2 - Break-Even Analysis You are the manager of a firm....Ch. 1.2 - Prob. 42ECh. 1.2 - Prob. 43ECh. 1.2 - Prob. 44ECh. 1.2 - Life Sciences 45. Deer Ticks Deer ticks are of...Ch. 1.2 - Prob. 46ECh. 1.2 - Prob. 47ECh. 1.2 - Prob. 48ECh. 1.2 - Prob. 49ECh. 1.2 - Prob. 50ECh. 1.3 - Calculate the least squares line for the following...Ch. 1.3 - Prob. 2YTCh. 1.3 - Prob. 1ECh. 1.3 - Prob. 2ECh. 1.3 - Prob. 3ECh. 1.3 - Prob. 4ECh. 1.3 - Prob. 5ECh. 1.3 - Prob. 6ECh. 1.3 - Prob. 7ECh. 1.3 - Prob. 8ECh. 1.3 - Prob. 9ECh. 1.3 - Prob. 10ECh. 1.3 - Prob. 11ECh. 1.3 - Prob. 12ECh. 1.3 - Prob. 13ECh. 1.3 - Prob. 14ECh. 1.3 - Mean Earnings The mean earnings (in dollars) of...Ch. 1.3 - Air Fares Using Expedia, a discount travel...Ch. 1.3 - Prob. 17ECh. 1.3 - Size of Hunting Parties In the 1960s, the famous...Ch. 1.3 - Crickets Chirping Biologists have observed a...Ch. 1.3 - Prob. 20ECh. 1.3 - Prob. 21ECh. 1.3 - Prob. 22ECh. 1.3 - SAT Scores At Hofstra University, all students...Ch. 1.3 - Prob. 24ECh. 1.3 - Air Conditioning While shopping for an air...Ch. 1.3 - Prob. 26ECh. 1.3 - Running If you think a marathon is a long race,...Ch. 1 - Determine whether each statement is true or false,...Ch. 1 - Prob. 2RECh. 1 - Prob. 3RECh. 1 - Prob. 4RECh. 1 - Prob. 5RECh. 1 - Prob. 6RECh. 1 - Prob. 7RECh. 1 - Prob. 8RECh. 1 - Prob. 9RECh. 1 - Prob. 10RECh. 1 - Determine whether each statement is true or false,...Ch. 1 - Prob. 12RECh. 1 - Prob. 13RECh. 1 - Prob. 14RECh. 1 - Prob. 15RECh. 1 - Prob. 16RECh. 1 - Prob. 17RECh. 1 - Prob. 18RECh. 1 - Prob. 19RECh. 1 - Prob. 20RECh. 1 - Prob. 21RECh. 1 - Prob. 22RECh. 1 - Prob. 23RECh. 1 - Prob. 24RECh. 1 - Prob. 25RECh. 1 - Prob. 26RECh. 1 - Prob. 27RECh. 1 - Prob. 28RECh. 1 - Prob. 29RECh. 1 - Prob. 30RECh. 1 - Prob. 31RECh. 1 - Prob. 32RECh. 1 - Prob. 33RECh. 1 - Prob. 34RECh. 1 - Prob. 35RECh. 1 - Prob. 36RECh. 1 - Prob. 37RECh. 1 - Prob. 38RECh. 1 - Prob. 39RECh. 1 - Prob. 40RECh. 1 - Prob. 41RECh. 1 - Prob. 42RECh. 1 - Prob. 43RECh. 1 - Prob. 44RECh. 1 - Prob. 45RECh. 1 - Prob. 46RECh. 1 - Prob. 47RECh. 1 - Prob. 48RECh. 1 - Prob. 49RECh. 1 - Prob. 50RECh. 1 - Prob. 51RECh. 1 - Prob. 52RECh. 1 - Prob. 53RECh. 1 - Prob. 54RECh. 1 - Prob. 55RECh. 1 - Prob. 56RECh. 1 - Prob. 57RECh. 1 - Prob. 58RECh. 1 - Prob. 59RECh. 1 - Life Sciences 60. World Health In general, people...Ch. 1 - Prob. 61RECh. 1 - Prob. 62RECh. 1 - Prob. 63RECh. 1 - Movies A mathematician exploring the relationship...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- In Exercises 45–52, find the domain and range of the function. 45. f(x) — —х 46. g(t) = t4 47. f(x) = x³ 48. g(t) = /2 – t 49. f(x)= |x| 50. h(s) %3D 1 51. f(x) = 52. g(t) = x2arrow_forwardIn Exercises 37–40, find a simplified expression for (х). 37. f(x) = 8x - 38x? + 49x – 10, g(x) = 4x – 1 38. f(x) = 2x3 - 9x? – 17x + 39, g(x) = 2x – 3 39. f(x) = 2x4 – 7x + 7x2 - 9x + 10, g(x) = 2x – 5 40. f(x) = 4x4 + 6x3 + 3x – 1, g(x) = 2r? + 1arrow_forwardExample. Differentiate f(r) (4r- 5x +4(7-). narrow_forward
- In Exercises 33–38, express the function, f, in simplified form. Assume that x can be any real number. 33. f(x) = V36(x + 2)² 34. f(x) = V81(x – 2)2 35. f(x) = V32(x + 2)³ 36. f(x) = V48(x – 2)³ 37. f(x) = V3x² – 6x + 3 38. f(x) = V5x2 – 10x + 5 %3Darrow_forwardF(6)=arrow_forwardLet f = {(5,3),(8,9),(3,8)} and g = 5x +4. Find f(3) + g(3). %3Darrow_forward
- The yintercept of the linear function f(x) =7x+9 is • -6.6 11 • 9 • 4.3 -1.3arrow_forward2 Let g(x)= -x+4x+2. Find and simplify g(-2). 9(-2) = (Simplify your answer.) %3Darrow_forwardUse the table defining f and g to solve Exercises 59-62. f(x) g(x) -2 -1 3 -2 -2 4 1 -6 -3 1 59. Find (f + g)(1) – (g – f)(-1). 60. Find (f + g)(-1) – (g – f)(0). 12 61. Find (fg)(-2) – 62. Find (fg)(2) –arrow_forward
- In Exercises 27-34, let f(x) = x? – 2x and g(x) = x – 5. Find each of the following. 27. (f + g)(x) and (f + g)(-2) 28. f(3) + g(3) 29. (f - g)(x) and (f - g)(1) 30. f(4) – g(4) 31. (fg)(-3) 32. ()u) und ()e) (4) 33. The domain of f - g 34. The domain of -arrow_forwardUse the table of values to evaluate the expressions below. f(x) g(x) 8 1 7 7 9 2 6 4 1 X 1 2 3 4 5 6 8 9 f(g(4)) = g(ƒ(9)) = = ƒ(ƒ(1)) = g(g(0)) = ܘ 5 3 ∞0 Aw| 3 4 9 8 0 6 2arrow_forwardLet f(x) = 4x + 5 and g(x) = 3x² +8. Evaluate (f+g)(1). 99 O 27 35 O 20arrow_forward
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