= S™ F² Let g(x) = f(t) dt, where fis the function whose graph is shown. 0,4 0,2 -0,2 f(₁) 10 14 18 (d) Sketch the graph of g. (a) At what values of x do the local maximum and minimum values of g occur? Xmin = (smaller x-value) Amin = (larger x-value) Xmax = (smaller x-value) Xmax = (larger x-value) (b) Where does g attain its absolute maximum value? X = t (c) On what interval is g concave downward? (Enter your answer using interval notation.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
· g(x) = f**
Let
f(t) dt, where fis the function whose graph is shown.
y
0,4
0,2
-0,2
f(t)
10
14
18
(d) Sketch the graph of g.
(a) At what values of x do the local maximum and minimum values of g occur?
Xmin =
(smaller x-value)
Xmin =
(larger x-value)
Xmax =
(smaller x-value)
Xmax =
(larger x-value)
(b) Where does g attain its absolute maximum value?
X =
t
(c) On what interval is g concave downward? (Enter your answer using interval notation.)
Transcribed Image Text:· g(x) = f** Let f(t) dt, where fis the function whose graph is shown. y 0,4 0,2 -0,2 f(t) 10 14 18 (d) Sketch the graph of g. (a) At what values of x do the local maximum and minimum values of g occur? Xmin = (smaller x-value) Xmin = (larger x-value) Xmax = (smaller x-value) Xmax = (larger x-value) (b) Where does g attain its absolute maximum value? X = t (c) On what interval is g concave downward? (Enter your answer using interval notation.)
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