3. Let (1) be defined by >-{b ²2. Osi<1. 15152, 16-1², and let F(x) be defined by F(x)=f() dr. 0sx=2 & Find F(x). & For what value of b in the definition of fis F(x) differentiable for all x € (0.2)?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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3. Let f(t) be defined by
A = { b ²², 15132
²2.
-
and let F(x) be defined by F(x)=f() dr. 0sxs 2
a. Find F(x).
b. For what value of b in the definition of fis F(x) differentiable for all x € (0, 2)?
T
M
Transcribed Image Text:3. Let f(t) be defined by A = { b ²², 15132 ²2. - and let F(x) be defined by F(x)=f() dr. 0sxs 2 a. Find F(x). b. For what value of b in the definition of fis F(x) differentiable for all x € (0, 2)? T M
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