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3. Sketch a graph of a function that satisfies the following conditions: f'(x) > 0 when x < −2 and when – 2 < x < 4 f'(x) < 0 when x > 4 f(0) = 5 • • f'(-2) = 0 and f'(4) = 0 f"(x) < 0 when x < -2 and when 3 < x < 9 • f'(x) > 0 when - 2 9 -6 + - do 6 + d co y V x X 1

3. Sketch a graph of a function that satisfies the following conditions: f'(x) > 0 when x < −2 and when – 2 < x < 4 f'(x) < 0 when x > 4 f(0) = 5 • • f'(-2) = 0 and f'(4) = 0 f"(x) < 0 when x < -2 and when 3 < x < 9 • f'(x) > 0 when - 2 9 -6 + - do 6 + d co y V x X 1

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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3. Sketch a graph of a function that satisfies the following conditions: f'(x) > 0 when x < −2 and when – 2 < x < 4 f'(x) < 0 when x > 4 f(0) = 5 • • f'(-2) = 0 and f'(4) = 0 f"(x) < 0 when x < -2 and when 3 < x < 9 • f'(x) > 0 when - 2<x<3 and when x > 9 -6 + - do 6 + d co y V x X 1
Transcribed Image Text:3. Sketch a graph of a function that satisfies the following conditions: f'(x) > 0 when x < −2 and when – 2 < x < 4 f'(x) < 0 when x > 4 f(0) = 5 • • f'(-2) = 0 and f'(4) = 0 f"(x) < 0 when x < -2 and when 3 < x < 9 • f'(x) > 0 when - 2<x<3 and when x > 9 -6 + - do 6 + d co y V x X 1
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