Determine if f(x) = 3 ya – 2 æ satisfies the Mean Value Theorem on [4, 49]. If so, find all numbers c on the interval that satisfy the theorem. 81 а) О b) O The Mean Value Theorem does not apply to this function on the given interval. 81 с) О 81 d) O 81 4

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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**Mean Value Theorem Problem**

Determine if \( f(x) = 3 \sqrt{x} - 2x \) satisfies the Mean Value Theorem on the interval \([4, 49]\). If so, find all numbers \( c \) on the interval that satisfy the theorem.

**Options:**

a) \(\frac{81}{2}\)

b) The Mean Value Theorem does not apply to this function on the given interval.

c) \(\frac{81}{8}\)

d) \(\frac{81}{4}\)

e) \(-\frac{81}{4}\)
Transcribed Image Text:**Mean Value Theorem Problem** Determine if \( f(x) = 3 \sqrt{x} - 2x \) satisfies the Mean Value Theorem on the interval \([4, 49]\). If so, find all numbers \( c \) on the interval that satisfy the theorem. **Options:** a) \(\frac{81}{2}\) b) The Mean Value Theorem does not apply to this function on the given interval. c) \(\frac{81}{8}\) d) \(\frac{81}{4}\) e) \(-\frac{81}{4}\)
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