Calculus Combo
14th Edition
ISBN: 9781464151088
Author: Associate Professor Laura Taalman, Peter Kohn
Publisher: W.H. Freeman & Company
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Chapter 3.5, Problem 63P
To determine
To prove: Show that the rate of the volume of a sphere is equal to area of the sphere.
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The function f is given by
f(x) = cos(x + 1). The solutions to which
6
of the following equations on the interval
0≤ x ≤ 2 are the solutions to f(x) = 1½
on the interval 0 < x < 2π?
2
A
√√3 cos x - sin x
= 1
B
√√3 cos x + sin x = 1
C
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√√3 sin x + cos x = 1
Suppose that the graph below is the graph of f'(x), the derivative of f(x).
Find the locations of all relative extrema, and tell whether each extremum is
a relative maximum or minimum.
Af'(x)
Select the correct choice below and fill in the answer box(es) within
your choice.
(Simplify your answer. Use a comma to separate answers
as needed.)
-10 86-4-2
-9-
B
10
X
G
A. The function f(x) has a relative maximum at x=
relative minimum at x =
and a
B. The function f(x) has a relative maximum at x=
no relative minimum.
and has
C. There is not enough information given.
D. The function f(x) has a relative minimum at x=
no relative maximum.
and has
E. The function f(x) has no relative extrema.
K
Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema.
f(x) = 12x+13x
12/13
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OA. There are no relative maxima. The function has a relative minimum of
(Use a comma to separate answers as needed.)
OB. There are no relative minima. The function has a relative maximum of
(Use a comma to separate answers as needed.)
OC. The function has a relative maximum of at x=
(Use a comma to separate answers as needed.)
OD. There are no relative extrema.
at x=
at x=
and a relative minimum of
at x=
Chapter 3 Solutions
Calculus Combo
Ch. 3.1 - Prob. 1TBCh. 3.1 - Prob. 0CCh. 3.1 - Prob. 1CCh. 3.1 - Prob. 2CCh. 3.1 - Prob. 3CCh. 3.1 - Prob. 4CCh. 3.1 - Prob. 5CCh. 3.1 - Prob. 6CCh. 3.1 - Prob. 7CCh. 3.1 - Prob. 8C
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