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Let g(x) f(t) dt, where f is the function whose graph is shown. y t 2 10 (a) Evaluate g(0), g(2), g(4), g(6), and g(12). 9(0) = 9(2) = g(4) = | g(6) = g(12) = (b) On what interval is g increasing? (Enter your answer using interval notation.) (c) Where does g have a maximum value? (d) Sketch a rough graph of g. y y g(x) g(x) 4 2 y y 4 g(x) g(x)

Let g(x) f(t) dt, where f is the function whose graph is shown. y t 2 10 (a) Evaluate g(0), g(2), g(4), g(6), and g(12). 9(0) = 9(2) = g(4) = | g(6) = g(12) = (b) On what interval is g increasing? (Enter your answer using interval notation.) (c) Where does g have a maximum value? (d) Sketch a rough graph of g. y y g(x) g(x) 4 2 y y 4 g(x) g(x)

Advanced Engineering Mathematics
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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Let g(x) = f(t) dt, where f is the function whose graph is shown. y 10 (a) Evaluate g(0), g(2), g(4), g(6), and g(12). g(0) =| g(2) = | g(4) = | g(6) =| g(12) =| (b) On what interval is g increasing? (Enter your answer using interval notation.) (c) Where does g have a maximum value? X = (d) Sketch a rough graph of g. y y g(x) g(x) 4 2 4 y y 4 X 2 g(x) g(x)
Transcribed Image Text:Let g(x) = f(t) dt, where f is the function whose graph is shown. y 10 (a) Evaluate g(0), g(2), g(4), g(6), and g(12). g(0) =| g(2) = | g(4) = | g(6) =| g(12) =| (b) On what interval is g increasing? (Enter your answer using interval notation.) (c) Where does g have a maximum value? X = (d) Sketch a rough graph of g. y y g(x) g(x) 4 2 4 y y 4 X 2 g(x) g(x)
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