b) Which is larger, g(-4) or g(-3) ? Give a eason for your answer. (... c) What is the absolute maximum of g on me closed interval [-7,8]? Justify your nswer. ( d) Find the x-coordinate of each point of

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 7YT: YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through...
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Please READ THE QUESTION AND JUST SOLVE FOR PART D -- THE INFLECTION POINT PART. THANK YOU!!!
-7
-4
y=h(x)
g(x) = f^h(t)
4
[-7,8].
4
6
8
The graph of y=h(x), shown above, consists
of three line segments and two quarter-
circles. The function g is defined by
7x
h(t)dt for all x in the closed interval
(a) Write an equation for the line tangent to
the graph of y=g(x) at x=6. (
(b) Which is larger, g(-4) or g(-3) ? Give a
reason for your answer. {
(c) What is the absolute maximum of g on
the closed interval [-7,8]? Justify your
answer. (
=
(d) Find the x-coordinate of each point of
flection on the graph of y=g(x). Give a
eason for your answer.
Transcribed Image Text:-7 -4 y=h(x) g(x) = f^h(t) 4 [-7,8]. 4 6 8 The graph of y=h(x), shown above, consists of three line segments and two quarter- circles. The function g is defined by 7x h(t)dt for all x in the closed interval (a) Write an equation for the line tangent to the graph of y=g(x) at x=6. ( (b) Which is larger, g(-4) or g(-3) ? Give a reason for your answer. { (c) What is the absolute maximum of g on the closed interval [-7,8]? Justify your answer. ( = (d) Find the x-coordinate of each point of flection on the graph of y=g(x). Give a eason for your answer.
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