Given: h(x) = = 1 - 3 X 13 4 -X if x < 2 3 if x > 2. 1. Determine if h is differentiable at x = = 0. 2. Verify if Rolle's Theorem applies to h on [1,3]. If it does, give all suitable values of c that satisfy the conclusion of Rolle's Theorem.
Given: h(x) = = 1 - 3 X 13 4 -X if x < 2 3 if x > 2. 1. Determine if h is differentiable at x = = 0. 2. Verify if Rolle's Theorem applies to h on [1,3]. If it does, give all suitable values of c that satisfy the conclusion of Rolle's Theorem.
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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Answer the ff:
![Given: h(x)
=
1
-
1
3
13
-x² + -x-3
4
4
if x ≤ 2
if x > 2.
1. Determine if h is differentiable at x = 0.
2. Verify if Rolle's Theorem applies to h on [1,3]. If it does, give all suitable
values of c that satisfy the conclusion of Rolle's Theorem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96a58789-5fd7-496a-9e9e-6c4e1333a72b%2F13d41bd5-b4c4-415d-bb57-7a461a1dd941%2F79uykkp_processed.png&w=3840&q=75)
Transcribed Image Text:Given: h(x)
=
1
-
1
3
13
-x² + -x-3
4
4
if x ≤ 2
if x > 2.
1. Determine if h is differentiable at x = 0.
2. Verify if Rolle's Theorem applies to h on [1,3]. If it does, give all suitable
values of c that satisfy the conclusion of Rolle's Theorem.
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