4. Let f:[0,2]→R be given by f(x) = 2x-x². Show that f satisfies the conditions of Rolle's Theorem and find a specific x in the interval so that f'(x) = 0.
4. Let f:[0,2]→R be given by f(x) = 2x-x². Show that f satisfies the conditions of Rolle's Theorem and find a specific x in the interval so that f'(x) = 0.
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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![4. Let f:[0,2]→R be given by f(x) = 2x - x². Show that f satisfies the conditions of
Rolle's Theorem and find a specific x in the interval so that f'(x) = 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc58b2eee-5b79-4c9d-923b-d4e913d44dbe%2F6b7dd812-12f1-44b2-a733-1bc6cc2ab856%2F2b3pukh_processed.png&w=3840&q=75)
Transcribed Image Text:4. Let f:[0,2]→R be given by f(x) = 2x - x². Show that f satisfies the conditions of
Rolle's Theorem and find a specific x in the interval so that f'(x) = 0.
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