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Math
Calculus
Calculus: Early Transcendentals
Chapter 1.3, Problem 71E
Chapter 1.3, Problem 71E
BUY
Calculus: Early Transcendentals
9th Edition
ISBN:
9780357631478
Author: James Stewart, Daniel K. Clegg, Saleem Watson
Publisher:
Cengage Learning
expand_less
1 Functions And Models
2 Limits And Derivatives
3 Differentiation Rules
4 Applications Of Differentiation
5 Integrals
6 Applications Of Integration
7 Techniques Of Integration
8 Further Applications Of Integration
9 Differential Equations
10 Parametric Equations And Polar Coordinates
11 Sequences, Series, And Power Series
12 Vectors And The Geometry Of Space
13 Vector Functions
14 Partial Derivatives
15 Multiple Integrals
16 Vector Calculus
A Numbers, Inequalities, And Absolute Values
B Coordinate Geometry And Lines
C Graphs Of Second-degree Equations
D Trigonometry
E Sigma Notation
F Proofs Of Theorems
G The Logarithm Defined As An Integral
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1.1 Four Ways To Represent A Function
1.2 Mathematical Models: A Catalog Of Essential Functions
1.3 New Functions From Old Functions
1.4 Exponential Functions
1.5 Inverse Functions And Logarithms
Chapter Questions
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Problem 1E: Suppose the graph of f is given. Write equations for the graphs that are obtained from the graph of...
Problem 2E: Explain how each graph is obtained from the graph ofy=f(x). (a) y=f(x)+8 (b) y=f(x+8) (c) y=8f(x)...
Problem 3E: The graph of y=f(x) is given. Match each equation with its graph and give reasons for your choices....
Problem 4E: The graph of f is given. Draw the graphs of the following functions. (a) y=f(x)3 (b) y=f(x+1) (c)...
Problem 5E: The graph of f is given. Use it to graph the following functions. (a) y=f(2x) (b) y=f(12x) (c)...
Problem 6E: The graph of y=3xx2 is given. Use transformations to create a function whose graph is as shown.
Problem 7E: The graph of y=3xx2 is given. Use transformations to create a function whose graph is as shown.
Problem 8E
Problem 9E: Graph the function by hand, not by plotting points, but by starting with the graph of one of the...
Problem 10E
Problem 11E: Graph the function by hand, not by plotting points, but by starting with the graph of one of the...
Problem 12E: Graph the function by hand, not by plotting points, but by starting with the graph of one of the...
Problem 13E
Problem 14E: Graph the function by hand, not by plotting points, but by starting with the graph of one of the...
Problem 15E: Graph the function by hand, not by plotting points, but by starting with the graph of one of the...
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E: Graph the function by hand, not by plotting points, but by starting with the graph of one of the...
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E: The city of New Orleans is located at latitude 30N. Use Figure 9 to find a function that models the...
Problem 28E: A variable star is one whose brightness alternately increases and decreases. For the most visible...
Problem 29E
Problem 30E: In a normal respiratory cycle the volume of air that moves into and out of the lungs is about 500...
Problem 31E: (a) How is the graph of y=f(|x|)related to the graph of f? (b) Sketch the graph of y=sin|x|. (c)...
Problem 32E: Use the given graph of f to sketch the graph of y = 1/f(x). Which features of f are the most...
Problem 33E: Find (a) f+g , (b) fg , (c) fg , and (d) f/g and state their domains. 33. f(x)=25x2,g(x)=x+1
Problem 34E: Find (a) f+g , (b) fg , (c) fg , and (d) f/g and state their domains. 34. f(x)=1x1,g(x)=1x2
Problem 35E: Find the functions (a) fg , (b) gf , (c) ff , and (d) gg and their domains. 35. f(x)=x3+5,g(x)=x3
Problem 36E: Find the functions (a) fg , (b) gf , (c) ff , and (d) gg and their domains. 36. f(x)=1x,g(x)=2x+1
Problem 37E
Problem 38E: Find the functions (a) fg , (b) gf , (c) ff , and (d) gg and their domains. 38. f(x)=xx+1,g(x)=2x1
Problem 39E: Find the functions (a) fg , (b) gf , (c) ff , and (d) gg and their domains. 39. f(x)=2x,g(x)=sinx
Problem 40E
Problem 41E: Find f g h. 39. f(x) = 3x 2, g (x) = sin x, h(x) = x2
Problem 42E
Problem 43E: Find f g h. 41.f(x)=x3, g(x) = x2, h(x) = x3 + 2
Problem 44E: Find f g h. 42. f(x) = tan x, g(x)=xx1,h(x)=x3
Problem 45E: Express the function in the form f g. 43. F(x) = (2x + x2)4
Problem 46E: Express the function in the form f g. 44. F(x) = cos2x
Problem 47E
Problem 48E
Problem 49E: Express the function in the form f g. 47. v(t) = sec(t2) tan(t2)
Problem 50E
Problem 51E
Problem 52E
Problem 53E
Problem 54E
Problem 55E
Problem 56E: Use the table to evaluate each expression. 56. (a) g(g(g(2))) (b) (fff)(1) (c) (ffg)(1) (d) (gfg)(3)
Problem 57E: Use the given graphs of f and g to evaluate each expression, or explain why it is undefined. (a)...
Problem 58E: Use the given graphs of f and g to estimate the value of f(g(x)) for x = 5, 4, 3,. . . , 5. Use...
Problem 59E: A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 60...
Problem 60E: A spherical balloon is being inflated and the radius of the balloon is increasing at a rate of 2...
Problem 61E
Problem 62E: An airplane is flying at a speed of 350 mi/h at an altitude of one mile and passes directly over a...
Problem 63E: The Heaviside function H is defined by It is used in the study of electric circuits to represent the...
Problem 64E
Problem 65E: Let f and g be linear functions with equations f(x) = m1x + b1, and g(x) = m2x + b2. Is f g also a...
Problem 66E
Problem 67E: (a) If g(x) = 2x + 1 and h(x) = 4x2 + 4x + 7, find a function f such that f g = h. (Think about...
Problem 68E: If f(x) = x + 4 and h(x) = 4x 1, find a function g such that g f = h.
Problem 69E: Suppose g is an even function and let h =f g. Is h always an even function?
Problem 70E: Suppose g is an odd function and let h = f g. Is h always an odd function? What it f is odd? What...
Problem 71E
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