Student Solutions Manual for Larson/Edwards' Calculus of a Single Variable, 11th
11th Edition
ISBN: 9781337275385
Author: Larson, Ron, Edwards, Bruce H.
Publisher: Brooks Cole
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Chapter P, Problem 42RE
To determine
To calculate: The domain of the function
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Procedures and Problem Solving
Library of Parent Functions In Exercises 5-8, use the
graph of the function to answer each question.
(a) Find any x-intercepts of the graph of y = f(x).
(b) Find any y-intercepts of the graph of y = f(x).
(c) Find the intervals on which the graph of y = f(x) is
increasing and the intervals on which the graph of
y = f(x) is decreasing.
(d) Find all relative extrema, if any, of the graph of
y = f(x).
(e) Find all vertical asymptotes, if any, of the graph of
y = f(x).
WH
19. y = sес лx - 3
Finding Arithmetic Combinations of Functions In
Exercises 11-18, find (a) (f+g)(x), (b) (f- g)(x),
. (c) (fg)(x), and (d) (f/g)(x). What is the domain of flg?
12. f(x)=2x-5, g(x) = 1 - x
14. f(x) = 2x - 5, g(x) = 5
16. f(x)=√√x² - 4, g(x)
Evaluating an Arithmetic Combination of Functions In
Exercises 19-32, evaluate the indicated function for
f(x)=x²-1 and g(x) = x - 2 algebraically. If possible,
use a graphing utility to verify your answer.
20. (ƒ - g)(-2)
22. (f + g)(1)
24. (fg)(-4)
26. (f/g)(0)
BAA
Compositions of Functions In Exercises 41-44, find (a)
fog, (b) gof, and, if possible, (c) (fog)(0).
x²
x² + 1
41. f(x) = x², g(x) = x - 1
42. f(x) = 3√x-1, g(x) = x³ + 1
43. f(x) = 3x + 5, g(x) = 5x
44. f(x) = x³, g(x) =
X
71. h(x) = (2x + 1)²
73. h(x) = 3x² - 4
Identifying a Composite Function In Exercises 71-78,
find two functions f and g such that (fog)(x) = h(x).
(There are many correct answers.)
72. h(x) = (1-x)³
74. h(x) = √√9 - x
Anthropologists can estimate a person's height from the length of certain bones. The height h (in inches) of an adult human female can be modeled by the function h(1)
where / is the length (in inches) of the femur, or thigh bone.
(a) Find the domain and range of the function. (Round your answers to 2 decimal places.)
Domain: ? ↑
? ↑
Range: ? ↑
(b) Suppose a female's femur was 16 inches long. About how tall was she? (Round your answers to the nearest inch.)
ft
in
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?
(c) If an anthropologist estimates a female's height to be 5 feet 3 inches, about how long was her femur? (Round your answer to 2 decimal places.)
in
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=
1.94/+ 28.4, 16 ≤ / ≤ 25,
Chapter P Solutions
Student Solutions Manual for Larson/Edwards' Calculus of a Single Variable, 11th
Ch. P.1 - Finding Intercepts Describe how to find the x- and...Ch. P.1 - CONCEPT CHECK Verifying Points of Intersection How...Ch. P.1 - Matching In Exercises 3-6, match the equation with...Ch. P.1 - Matching In Exercises 3-6, match the equation with...Ch. P.1 - Matching In Exercises 3-6, match the equation with...Ch. P.1 - Matching In Exercises 3-6, match the equation with...Ch. P.1 - Prob. 7ECh. P.1 - Sketching a Graph by Point Plotting In Exercises...Ch. P.1 - Sketching a Graph by Point Plotting In Exercises...Ch. P.1 - Prob. 10E
Ch. P.1 - Sketching a Graph by Point Plotting In Exercises...Ch. P.1 - Sketching a Graph by Point Plotting In Exercises...Ch. P.1 - Sketching a Graph by Point Plotting In Exercises...Ch. P.1 - Prob. 14ECh. P.1 - Prob. 15ECh. P.1 - Prob. 16ECh. P.1 - Approximating Solution Points Using Technology In...Ch. P.1 - Approximating Solution Points Using Technology In...Ch. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Finding Intercepts In Exercises 19-28, find any...Ch. P.1 - Prob. 29ECh. P.1 - Prob. 30ECh. P.1 - Prob. 31ECh. P.1 - Prob. 32ECh. P.1 - Prob. 33ECh. P.1 - Prob. 34ECh. P.1 - Prob. 35ECh. P.1 - Prob. 36ECh. P.1 - Prob. 37ECh. P.1 - Prob. 38ECh. P.1 - Prob. 39ECh. P.1 - Prob. 40ECh. P.1 - Prob. 41ECh. P.1 - Using Intercepts and Symmetry to Sketch a Graph In...Ch. P.1 - Using Intercepts and Symmetry to Sketch a Graph In...Ch. P.1 - Prob. 44ECh. P.1 - Using Intercepts and Symmetry to Sketch a Graph In...Ch. P.1 - Prob. 46ECh. P.1 - Using Intercepts and Symmetry to Sketch a Graph In...Ch. P.1 - Prob. 48ECh. P.1 - Prob. 49ECh. P.1 - Prob. 50ECh. P.1 - Prob. 51ECh. P.1 - Prob. 52ECh. P.1 - Prob. 53ECh. P.1 - Using Intercepts and Symmetry to Sketch a Graph In...Ch. P.1 - Using Intercepts and Symmetry to Sketch a Graph In...Ch. P.1 - Prob. 56ECh. P.1 - Finding Points of Intersection In Exercises 57-62....Ch. P.1 - Finding Points of Intersection In Exercises 57-62....Ch. P.1 - Finding Points of Intersection In Exercises 57-62....Ch. P.1 - Finding Points of Intersection In Exercises 57-62,...Ch. P.1 - Finding Points of Intersection In Exercises 57-62....Ch. P.1 - Finding Points of Intersection In Exercises 57-62....Ch. P.1 - Finding Points of Intersection Using Technology In...Ch. P.1 - Finding Points of Intersection Using Technology In...Ch. P.1 - Prob. 65ECh. P.1 - Prob. 66ECh. P.1 - Modeling Data The table shows the Gross Domestic...Ch. P.1 - Modeling Data The table shows the numbers of cell...Ch. P.1 - Prob. 69ECh. P.1 - Prob. 70ECh. P.1 - EXPLORING CONCEPTS Using Intercepts Write an...Ch. P.1 - EXPLORING CONCEPTS Symmetry A graph is symmetric...Ch. P.1 - Prob. 73ECh. P.1 - HOW DO YOU SEE IT? Use the graphs of the two...Ch. P.1 - True or False ? In Exercises 75-78, determine...Ch. P.1 - True or False ? In Exercises 75-78, determine...Ch. P.1 - True or False? In Exercises 75-78, determine...Ch. P.1 - True or False? In Exercises 75-78, determine...Ch. P.2 - Slope-Intercept Form In the form y = mx + b, what...Ch. P.2 - Perpendicular Lines Is it possible for two lines...Ch. P.2 - Estimating Slope In Exercises 36, estimate the...Ch. P.2 - Estimating Slope In Exercises 36, estimate the...Ch. P.2 - Estimating Slope In Exercises 36, estimate the...Ch. P.2 - Prob. 6ECh. P.2 - Finding the Slope of a Line In Exercises 7-12,...Ch. P.2 - Prob. 8ECh. P.2 - Finding the Slope of a Line In Exercises 7-12,...Ch. P.2 - Prob. 10ECh. P.2 - Finding the Slope of a Line In Exercises 7-12,...Ch. P.2 - Prob. 12ECh. P.2 - Prob. 13ECh. P.2 - Sketching Lines In Exercises 13 and 14, sketch the...Ch. P.2 - Prob. 15ECh. P.2 - Prob. 16ECh. P.2 - Prob. 17ECh. P.2 - Prob. 18ECh. P.2 - Finding an Equation of a Line In Exercises 19-24,...Ch. P.2 - Prob. 20ECh. P.2 - Prob. 21ECh. P.2 - Prob. 22ECh. P.2 - Prob. 23ECh. P.2 - Prob. 24ECh. P.2 - Road Grade You are driving on a road that has a 6%...Ch. P.2 - Conveyor Design A moving conveyor is built to rise...Ch. P.2 - Modeling Data The table shows the populations y...Ch. P.2 - Prob. 28ECh. P.2 - Prob. 29ECh. P.2 - Prob. 30ECh. P.2 - Prob. 31ECh. P.2 - Prob. 32ECh. P.2 - Prob. 33ECh. P.2 - Prob. 34ECh. P.2 - Sketching a Line in the Plane In Exercises 35-42,...Ch. P.2 - Prob. 36ECh. P.2 - Sketching a Line in the Plane In Exercises 35-42,...Ch. P.2 - Prob. 38ECh. P.2 - Prob. 39ECh. P.2 - Prob. 40ECh. P.2 - Prob. 41ECh. P.2 - Prob. 42ECh. P.2 - Prob. 43ECh. P.2 - Prob. 44ECh. P.2 - Prob. 45ECh. P.2 - Prob. 46ECh. P.2 - Prob. 47ECh. P.2 - Prob. 48ECh. P.2 - Prob. 49ECh. P.2 - Prob. 50ECh. P.2 - Prob. 51ECh. P.2 - Prob. 52ECh. P.2 - Writing an Equation in General Form In Exercises...Ch. P.2 - Prob. 54ECh. P.2 - Writing an Equation in General Form In Exercises...Ch. P.2 - Prob. 56ECh. P.2 - Prob. 57ECh. P.2 - Prob. 58ECh. P.2 - Finding Parallel and Perpendicular Lines In...Ch. P.2 - Finding Parallel and Perpendicular Lines In...Ch. P.2 - Finding Parallel and Perpendicular Lines In...Ch. P.2 - Finding Parallel and Perpendicular Lines In...Ch. P.2 - Prob. 63ECh. P.2 - Rate of Change In Exercises 63 and 64, you are...Ch. P.2 - Prob. 65ECh. P.2 - Collinear Points In Exercises 65 and 66. determine...Ch. P.2 - Prob. 67ECh. P.2 - Prob. 68ECh. P.2 - Tangent Line Find an equation of the line tangent...Ch. P.2 - Prob. 70ECh. P.2 - Finding Points of Intersection Find the...Ch. P.2 - Prob. 72ECh. P.2 - Prob. 73ECh. P.2 - Prob. 74ECh. P.2 - Prob. 75ECh. P.2 - Prob. 76ECh. P.2 - Prob. 77ECh. P.2 - Prob. 78ECh. P.2 - Prob. 79ECh. P.2 - Prob. 80ECh. P.2 - Prob. 81ECh. P.2 - Prob. 82ECh. P.2 - Prob. 83ECh. P.2 - Prob. 84ECh. P.2 - Prob. 85ECh. P.2 - Prob. 86ECh. P.3 - Writing Describe how a relation and a function are...Ch. P.3 - CONCEPT CHECK Domain and Range In your own words,...Ch. P.3 - CONCEPT CHECK Transformations What are the three...Ch. P.3 - Prob. 4ECh. P.3 - Prob. 5ECh. P.3 - Prob. 6ECh. P.3 - Prob. 7ECh. P.3 - Prob. 8ECh. P.3 - Evaluating a Function In Exercises 5-12, evaluate...Ch. P.3 - Evaluating a Function In Exercises 5-12, evaluate...Ch. P.3 - Evaluating a Function In Exercises 5-12, evaluate...Ch. P.3 - Evaluating a Function In Exercises 5-12, evaluate...Ch. P.3 - Prob. 13ECh. P.3 - Prob. 14ECh. P.3 - Finding the Domain and Range of a Function In...Ch. P.3 - Prob. 16ECh. P.3 - Prob. 17ECh. P.3 - Finding the Domain and Range of a Function In...Ch. P.3 - Prob. 19ECh. P.3 - Prob. 20ECh. P.3 - Finding the Domain and Range of a Function In...Ch. P.3 - Prob. 22ECh. P.3 - Prob. 23ECh. P.3 - Prob. 24ECh. P.3 - Prob. 25ECh. P.3 - Prob. 26ECh. P.3 - Finding the Domain and Range of a Piecewise...Ch. P.3 - Finding the Domain and Range of a Piecewise...Ch. P.3 - Prob. 29ECh. P.3 - Prob. 30ECh. P.3 - Prob. 31ECh. P.3 - Prob. 32ECh. P.3 - Prob. 33ECh. P.3 - Sketching a Graph of a Function In Exercises...Ch. P.3 - Prob. 35ECh. P.3 - Prob. 36ECh. P.3 - Sketching a Graph of a Function In Exercises...Ch. P.3 - Prob. 38ECh. P.3 - Prob. 39ECh. P.3 - Using the Vertical Line Test In Exercises 39-42,...Ch. P.3 - Prob. 41ECh. P.3 - Prob. 42ECh. P.3 - Prob. 43ECh. P.3 - Prob. 44ECh. P.3 - Deciding Whether an Equation Is a Function In...Ch. P.3 - Prob. 46ECh. P.3 - Prob. 47ECh. P.3 - Prob. 48ECh. P.3 - Prob. 49ECh. P.3 - Prob. 50ECh. P.3 - Matching In Exercises 51-56, use the graph of...Ch. P.3 - Matching In Exercises 51-56, use the graph of...Ch. P.3 - Prob. 53ECh. P.3 - Prob. 54ECh. P.3 - Prob. 55ECh. P.3 - Prob. 56ECh. P.3 - Prob. 57ECh. P.3 - Sketching Transformations Use the graph of f shown...Ch. P.3 - Prob. 59ECh. P.3 - Prob. 60ECh. P.3 - Evaluating Composite Functions Given f(x)=x and...Ch. P.3 - Evaluating Composite Functions Given f(x)=2x3 and...Ch. P.3 - Prob. 63ECh. P.3 - Prob. 64ECh. P.3 - Prob. 65ECh. P.3 - Prob. 66ECh. P.3 - Prob. 67ECh. P.3 - Ripples A pebble is dropped into a calm pond,...Ch. P.3 - Think About It In Exercises 69 and 70, F(x)=fgh....Ch. P.3 - Prob. 70ECh. P.3 - Prob. 71ECh. P.3 - Prob. 72ECh. P.3 - Prob. 73ECh. P.3 - Prob. 74ECh. P.3 - Prob. 75ECh. P.3 - Prob. 76ECh. P.3 - Prob. 77ECh. P.3 - Prob. 78ECh. P.3 - Prob. 79ECh. P.3 - Prob. 80ECh. P.3 - Prob. 81ECh. P.3 - Writing Functions In Exercises 79-82, write an...Ch. P.3 - Prob. 83ECh. P.3 - Prob. 84ECh. P.3 - Prob. 85ECh. P.3 - Prob. 86ECh. P.3 - Prob. 87ECh. P.3 - Prob. 88ECh. P.3 - Prob. 89ECh. P.3 - Prob. 90ECh. P.3 - Prob. 91ECh. P.3 - Prob. 92ECh. P.3 - Prob. 93ECh. P.3 - HOW DO YOU SEE IT? Water runs into a vase of...Ch. P.3 - Prob. 95ECh. P.3 - Prob. 96ECh. P.3 - Prob. 97ECh. P.3 - Prob. 98ECh. P.3 - Prob. 99ECh. P.3 - Prob. 100ECh. P.3 - Prob. 101ECh. P.3 - Volume An open box of maximum volume is to be made...Ch. P.3 - Prob. 103ECh. P.3 - Prob. 104ECh. P.3 - Prob. 105ECh. P.3 - Prob. 106ECh. P.3 - Prob. 107ECh. P.3 - Prob. 108ECh. P.3 - Prob. 109ECh. P.3 - Prob. 110ECh. P.4 - Coterminal Angles Explain how to find coterminal...Ch. P.4 - Prob. 2ECh. P.4 - Prob. 3ECh. P.4 - Prob. 4ECh. P.4 - Prob. 5ECh. P.4 - Coterminal Angles in Degrees In Exercises 5 and 6,...Ch. P.4 - Prob. 7ECh. P.4 - Prob. 8ECh. P.4 - Prob. 9ECh. P.4 - Prob. 10ECh. P.4 - Prob. 11ECh. P.4 - Prob. 12ECh. P.4 - Prob. 13ECh. P.4 - Angular Speed A car is moving at the rate of 50...Ch. P.4 - Evaluating Trigonometric Functions In Exercise 15...Ch. P.4 - Prob. 16ECh. P.4 - Prob. 17ECh. P.4 - Prob. 18ECh. P.4 - Prob. 19ECh. P.4 - Prob. 20ECh. P.4 - Evaluating Trigonometric Functions In Exercises...Ch. P.4 - Prob. 22ECh. P.4 - Prob. 23ECh. P.4 - Prob. 24ECh. P.4 - Prob. 25ECh. P.4 - Prob. 26ECh. P.4 - Prob. 27ECh. P.4 - Prob. 28ECh. P.4 - Prob. 29ECh. P.4 - Determining a Quadrant In Exercises 29 and 30,...Ch. P.4 - Prob. 31ECh. P.4 - Prob. 32ECh. P.4 - Prob. 33ECh. P.4 - Solving a Trigonometric Equation In Exercises...Ch. P.4 - Prob. 35ECh. P.4 - Prob. 36ECh. P.4 - Prob. 37ECh. P.4 - Prob. 38ECh. P.4 - Prob. 39ECh. P.4 - Solving a Trigonometric Equation In Exercises...Ch. P.4 - Prob. 41ECh. P.4 - Prob. 42ECh. P.4 - Airplane Ascent An airplane leaves the runway...Ch. P.4 - Height of a Mountain While traveling across flat...Ch. P.4 - Prob. 45ECh. P.4 - Prob. 46ECh. P.4 - Prob. 47ECh. P.4 - Prob. 48ECh. P.4 - Prob. 49ECh. P.4 - Prob. 50ECh. P.4 - Prob. 51ECh. P.4 - Prob. 52ECh. P.4 - Prob. 53ECh. P.4 - Prob. 54ECh. P.4 - Sketching the Graph of a Trigonometric Function In...Ch. P.4 - Prob. 56ECh. P.4 - Prob. 57ECh. P.4 - Prob. 58ECh. P.4 - Prob. 59ECh. P.4 - Prob. 60ECh. P.4 - Prob. 61ECh. P.4 - Prob. 62ECh. P.4 - Prob. 63ECh. P.4 - Prob. 64ECh. P.4 - Prob. 65ECh. P.4 - Prob. 66ECh. P.4 - Prob. 67ECh. P.4 - Prob. 68ECh. P.4 - Prob. 69ECh. P.4 - Prob. 70ECh. P.4 - Prob. 71ECh. P.4 - Prob. 72ECh. P.4 - Prob. 73ECh. P.4 - Ferris Wheel The model for the height h of a...Ch. P.4 - Sales The monthly sales S (in thousands of units)...Ch. P.4 - Prob. 76ECh. P.4 - Prob. 77ECh. P.4 - Prob. 78ECh. P.4 - Prob. 79ECh. P.4 - Prob. 80ECh. P - Finding Intercepts In Exercises 1-4, find any...Ch. P - Prob. 2RECh. P - Prob. 3RECh. P - Prob. 4RECh. P - Prob. 5RECh. P - Prob. 6RECh. P - Prob. 7RECh. P - Prob. 8RECh. P - Prob. 9RECh. P - Prob. 10RECh. P - Prob. 11RECh. P - Prob. 12RECh. P - Prob. 13RECh. P - Prob. 14RECh. P - Prob. 15RECh. P - Prob. 16RECh. P - Prob. 17RECh. P - Prob. 18RECh. P - Prob. 19RECh. P - Prob. 20RECh. P - Prob. 21RECh. P - Prob. 22RECh. P - Prob. 23RECh. P - Prob. 24RECh. P - Prob. 25RECh. P - Prob. 26RECh. P - Prob. 27RECh. P - Prob. 28RECh. P - Prob. 29RECh. P - Prob. 30RECh. P - Prob. 31RECh. P - Prob. 32RECh. P - Prob. 33RECh. P - Finding Equations of Lines Find equations of the...Ch. P - Rate of Change The purchase price of a new machine...Ch. P - Prob. 36RECh. P - Evaluating a Function In Exercises 37-40, evaluate...Ch. P - Prob. 38RECh. P - Prob. 39RECh. P - Prob. 40RECh. P - Prob. 41RECh. P - Prob. 42RECh. P - Prob. 43RECh. P - Prob. 44RECh. P - Prob. 45RECh. P - Prob. 46RECh. P - Prob. 47RECh. P - Prob. 48RECh. P - Prob. 49RECh. P - Prob. 50RECh. P - Prob. 51RECh. P - Think About It What is the minimum degree of the...Ch. P - Prob. 53RECh. P - Prob. 54RECh. P - Prob. 55RECh. P - Prob. 56RECh. P - Prob. 57RECh. P - Prob. 58RECh. P - Prob. 59RECh. P - Prob. 60RECh. P - Prob. 61RECh. P - Prob. 62RECh. P - Prob. 63RECh. P - Prob. 64RECh. P - Prob. 65RECh. P - Prob. 66RECh. P - Prob. 67RECh. P - Prob. 68RECh. P - Prob. 69RECh. P - Prob. 70RECh. P - Prob. 71RECh. P - Prob. 72RECh. P - Prob. 73RECh. P - Prob. 74RECh. P - Prob. 75RECh. P - Prob. 76RECh. P - Prob. 77RECh. P - Prob. 78RECh. P - Prob. 79RECh. P - Prob. 80RECh. P - Prob. 81RECh. P - Prob. 82RECh. P - Prob. 83RECh. P - Prob. 84RECh. P - Prob. 85RECh. P - Prob. 86RECh. P - Prob. 87RECh. P - Prob. 88RECh. P - Prob. 89RECh. P - Prob. 90RECh. P - Prob. 1PSCh. P - Finding Tangent Lines There are two tangent lines...Ch. P - Heaviside Function The Heaviside function H(x) is...Ch. P - Prob. 4PSCh. P - Prob. 5PSCh. P - Prob. 6PSCh. P - Prob. 7PSCh. P - Prob. 8PSCh. P - Prob. 9PSCh. P - Prob. 10PSCh. P - Prob. 11PSCh. P - Graphing an Equation Explain how you would graph...Ch. P - Prob. 13PSCh. P - Sound Intensity Suppose the speakers in Exercise...Ch. P - Prob. 15PS
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