Answered: a. f(0) = f(3) = 0 b. f(1) = -2 c.…

a. f(0) = f(3) = 0 b. f(1) = -2 c. f'(-1) = f'(0) = f'(1) = 0 d. f'(x) < 0 for -o < x < -1 and 0 < x < 1 e. f"(-) = f" (;) = f"(2) = 0 f f"(x) > 0 on -8

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

100%

Sketch a continuous function that satisfies all the following conditions(in the picture attached) and label your sketch with the conditions’ corresponding letters (a, b, c, etc.)

f (0) = f(3) = 0
b. f(1) = -2
c. f'(-1) = f'(0) = f'(1) = 0
d. f'(x) < 0 for -o <x < -1 and 0 < x < 1
f"(-) = f" E) = f"(2) = 0
а.
%3D
е.
.2,
f. f"(x) > 0 on –∞ < x < -- and -< x < 2
g.
lim f(x) = o
%3D
X--00

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