Calculus: Early Transcendentals
4th Edition
ISBN: 9781319050740
Author: Jon Rogawski, Colin Adams, Robert Franzosa
Publisher: W. H. Freeman
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Chapter 4.5, Problem 60E
To determine
To find:
The maximum height attained by the ball if the air resistance is zero.
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Students have asked these similar questions
Each of Exercises 25–36 gives a formula for a function y = f(x). In
each case, find f-x) and identify the domain and range of f-. As a
check, show that f(fx)) = f-"f(x)) = x.
25. f(x) = x
26. f(x) = x, x20
%3D
%3D
27. f(x) = x + 1
28. f(x) = (1/2)x – 7/2
30. f(x) = 1/r, x * 0
%3D
29. f(x) = 1/x, x>0
x + 3
31. f(x)
32. f(x) =
VE - 3
34. f(x) = (2x + 1)/5
2
33. f(x) = x - 2r, xs1
(Hint: Complete the square.)
* + b
x - 2'
35. f(x) =
b>-2 and constant
36. f(x) = x?
2bx, b> 0 and constant, xsb
In the section opener, we saw that
80x – 8000
f(x)
30 s xs 100
110
models the government tax revenue, f(x), in tens of billions
of dollars, as a function of the tax rate percentage, x. Use this
function to solve Exercises 55–58. Round to the nearest ten
billion dollars.
55. Find and interpret f(30). Identify the solution as a point
on the graph of the function in Figure 6.4 on page 439.
56. Find and interpret f(70). Identify the solution as a point
on the graph of the function in Figure 6.4 on page 439.
57. Rewrite the function by using long division to perform
(80x - 8000) - (x - 110).
Then use this new form of the function to find f(30). Do
you obtain the same answer as you did in Exercise 55?
Which form of the function do you find easier to use?
58. Rewrite the function by using long division to perform
(80x – 8000) - (x – 110).
In Exercises 11–18, find the slope of the function’s graph at the given point. Then find an equation for the line tangent to the graph there.
11. ƒ(x) = x2 + 1, (2, 5) 12. ƒ(x) = x - 2x2, (1, -1)
13. g(x) = x/(x - 2) , (3, 3) 14. 8/ x2 , (2, 2)
15. h(t) = t3, (2, 8) 16. h(t) = t3 + 3t, (1, 4)
17. ƒ(x) = sqrt(x), (4, 2) 18. ƒ(x) = sqrt(x + 1), (8,3).
Chapter 4 Solutions
Calculus: Early Transcendentals
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Prob. 69ECh. 4.7 - Prob. 70ECh. 4.7 - Prob. 71ECh. 4.7 - Prob. 72ECh. 4.7 - Prob. 73ECh. 4.7 - Prob. 74ECh. 4.7 - Prob. 75ECh. 4.7 - Prob. 76ECh. 4.7 - Prob. 77ECh. 4.7 - Prob. 78ECh. 4.7 - Prob. 79ECh. 4.7 - Prob. 80ECh. 4.7 - Prob. 81ECh. 4.7 - Prob. 82ECh. 4.8 - Prob. 1PQCh. 4.8 - Prob. 2PQCh. 4.8 - Prob. 3PQCh. 4.8 - Prob. 4PQCh. 4.8 - Prob. 1ECh. 4.8 - Prob. 2ECh. 4.8 - Prob. 3ECh. 4.8 - Prob. 4ECh. 4.8 - Prob. 5ECh. 4.8 - Prob. 6ECh. 4.8 - Prob. 7ECh. 4.8 - Prob. 8ECh. 4.8 - Prob. 9ECh. 4.8 - Prob. 10ECh. 4.8 - Prob. 11ECh. 4.8 - Prob. 12ECh. 4.8 - Prob. 13ECh. 4.8 - Prob. 14ECh. 4.8 - Prob. 15ECh. 4.8 - Prob. 16ECh. 4.8 - Prob. 17ECh. 4.8 - Prob. 18ECh. 4.8 - Prob. 19ECh. 4.8 - Prob. 20ECh. 4.8 - Prob. 21ECh. 4.8 - Prob. 22ECh. 4.8 - Prob. 23ECh. 4.8 - Prob. 24ECh. 4.8 - Prob. 25ECh. 4.8 - Prob. 26ECh. 4.8 - Prob. 27ECh. 4.8 - Prob. 28ECh. 4.8 - Prob. 29ECh. 4.8 - Prob. 30ECh. 4.8 - Prob. 31ECh. 4.8 - Prob. 32ECh. 4.8 - Prob. 33ECh. 4.8 - Prob. 34ECh. 4.8 - Prob. 35ECh. 4.8 - Prob. 36ECh. 4.8 - Prob. 37ECh. 4.8 - Prob. 38ECh. 4.8 - Prob. 39ECh. 4.8 - Prob. 40ECh. 4.8 - Prob. 41ECh. 4 - Prob. 1CRECh. 4 - Prob. 2CRECh. 4 - Prob. 3CRECh. 4 - Prob. 4CRECh. 4 - Prob. 5CRECh. 4 - Prob. 6CRECh. 4 - Prob. 7CRECh. 4 - Prob. 8CRECh. 4 - Prob. 9CRECh. 4 - Prob. 10CRECh. 4 - Prob. 11CRECh. 4 - Prob. 12CRECh. 4 - Prob. 13CRECh. 4 - Prob. 14CRECh. 4 - Prob. 15CRECh. 4 - Prob. 16CRECh. 4 - Prob. 17CRECh. 4 - Prob. 18CRECh. 4 - Prob. 19CRECh. 4 - Prob. 20CRECh. 4 - Prob. 21CRECh. 4 - Prob. 22CRECh. 4 - Prob. 23CRECh. 4 - Prob. 24CRECh. 4 - Prob. 25CRECh. 4 - Prob. 26CRECh. 4 - Prob. 27CRECh. 4 - Prob. 28CRECh. 4 - Prob. 29CRECh. 4 - Prob. 30CRECh. 4 - Prob. 31CRECh. 4 - Prob. 32CRECh. 4 - Prob. 33CRECh. 4 - Prob. 34CRECh. 4 - Prob. 35CRECh. 4 - Prob. 36CRECh. 4 - Prob. 37CRECh. 4 - Prob. 38CRECh. 4 - Prob. 39CRECh. 4 - Prob. 40CRECh. 4 - Prob. 41CRECh. 4 - Prob. 42CRECh. 4 - Prob. 43CRECh. 4 - Prob. 44CRECh. 4 - Prob. 45CRECh. 4 - Prob. 46CRECh. 4 - Prob. 47CRECh. 4 - Prob. 48CRECh. 4 - Prob. 49CRECh. 4 - Prob. 50CRECh. 4 - Prob. 51CRECh. 4 - Prob. 52CRECh. 4 - Prob. 53CRECh. 4 - Prob. 54CRECh. 4 - Prob. 55CRECh. 4 - Prob. 56CRECh. 4 - Prob. 57CRECh. 4 - Prob. 58CRECh. 4 - Prob. 59CRECh. 4 - Prob. 60CRECh. 4 - Prob. 61CRECh. 4 - Prob. 62CRECh. 4 - Prob. 63CRECh. 4 - Prob. 64CRECh. 4 - Prob. 65CRECh. 4 - Prob. 66CRECh. 4 - Prob. 67CRECh. 4 - Prob. 68CRECh. 4 - Prob. 69CRECh. 4 - Prob. 70CRECh. 4 - Prob. 71CRECh. 4 - Prob. 72CRECh. 4 - Prob. 73CRECh. 4 - Prob. 74CRECh. 4 - Prob. 75CRECh. 4 - Prob. 76CRECh. 4 - Prob. 77CRECh. 4 - Prob. 78CRECh. 4 - Prob. 79CRECh. 4 - Prob. 80CRECh. 4 - Prob. 81CRECh. 4 - Prob. 82CRECh. 4 - Prob. 83CRECh. 4 - Prob. 84CRECh. 4 - Prob. 85CRECh. 4 - Prob. 86CRECh. 4 - Prob. 87CRECh. 4 - Prob. 88CRECh. 4 - Prob. 89CRE
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