Consider the function f(x) = x + sin(2x) defined on the interval [0, 2x]. Verify that the mean value theorem holds for the function on the given interval. In other words, show that there exists a number € (0, 2) such that (2x)-f(0) 2-0 = f'(5). Round the value of to 2 decimals. Answer:
Consider the function f(x) = x + sin(2x) defined on the interval [0, 2x]. Verify that the mean value theorem holds for the function on the given interval. In other words, show that there exists a number € (0, 2) such that (2x)-f(0) 2-0 = f'(5). Round the value of to 2 decimals. Answer:
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![Consider the function f(x) = x + sin(2x) defined on the interval [0, 2x]. Verify that the mean value theorem holds for the function on the given interval. In other words, show that there exists a number
E € (0, 2) such that
f(2x)-f(0)
2x-0
= f'(§).
Round the value of to 2 decimals.
Answer:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ef2acf2-70fd-40cc-bcbe-08eec48c6b31%2F56cfe814-1e8b-4d69-a320-bf2d2e2b8d6b%2F05lmbd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the function f(x) = x + sin(2x) defined on the interval [0, 2x]. Verify that the mean value theorem holds for the function on the given interval. In other words, show that there exists a number
E € (0, 2) such that
f(2x)-f(0)
2x-0
= f'(§).
Round the value of to 2 decimals.
Answer:
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