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Let f(x) = (x - 3)-2. Find all values of c in (1, 4) such that f(4) - f(1) = f'(c)(4 - 1). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) C = Based off of this information, what conclusions can be made about the Mean Value Theorem? O This contradicts the Mean Value Theorem since f satisfies the hypotheses on the given interval but there does not exist any c on (1, 4) such that f'(c) = 4 - 1 O This does not contradict the Mean Value Theorem since f is not continuous at x = 3. f(4) – f(1) 4 - 1 O This does not contradict the Mean Value Theorem since f is continuous on (1, 4), and there exists a c on (1, 4) such that f'(c) = O This contradicts the Mean Value Theorem since there exists a c on (1, 4) such that f'(c) = 9 = O, but f is not continuous at x = 3. Nothing can be concluded.

Let f(x) = (x - 3)-2. Find all values of c in (1, 4) such that f(4) - f(1) = f'(c)(4 - 1). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) C = Based off of this information, what conclusions can be made about the Mean Value Theorem? O This contradicts the Mean Value Theorem since f satisfies the hypotheses on the given interval but there does not exist any c on (1, 4) such that f'(c) = 4 - 1 O This does not contradict the Mean Value Theorem since f is not continuous at x = 3. f(4) – f(1) 4 - 1 O This does not contradict the Mean Value Theorem since f is continuous on (1, 4), and there exists a c on (1, 4) such that f'(c) = O This contradicts the Mean Value Theorem since there exists a c on (1, 4) such that f'(c) = 9 = O, but f is not continuous at x = 3. Nothing can be concluded.

Calculus: Early Transcendentals
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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Hi there, please help me with answering this question, I am a bit confused here. It would be highly appreciated if all parts were answered clearly with explanation. Also, please read the question carefully because sometimes my questions are answered incorrectly and unfortunately I do not recieve a refund for it. Please answer with legible handwritting as well. Thank you very much. Thumbs up always given for correct answers! (:
Let f(x) = (x - 3)-2. Find all values of c in (1, 4) such that f(4) – f(1) = f'(c)(4 - 1). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) C = Based off of this information, what conclusions can be made about the Mean Value Theorem? This contradicts the Mean Value Theorem since f satisfies the hypotheses on the given interval but there does not exist any c on (1, 4) such that f'(c) = 4 - 1 O This does not contradict the Mean Value Theorem since f is not continuous at x = 3. O This does not contradict the Mean Value Theorem since f is continuous on (1, 4), and there exists a c on (1, 4) such that f'(c) = f(4) – f(1) 4 - 1 O This contradicts the Mean Value Theorem since there exists a c on (1, 4) such that f'(c) = E O, but f is not continuous at x = 3. Nothing can be concluded.
Transcribed Image Text:Let f(x) = (x - 3)-2. Find all values of c in (1, 4) such that f(4) – f(1) = f'(c)(4 - 1). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) C = Based off of this information, what conclusions can be made about the Mean Value Theorem? This contradicts the Mean Value Theorem since f satisfies the hypotheses on the given interval but there does not exist any c on (1, 4) such that f'(c) = 4 - 1 O This does not contradict the Mean Value Theorem since f is not continuous at x = 3. O This does not contradict the Mean Value Theorem since f is continuous on (1, 4), and there exists a c on (1, 4) such that f'(c) = f(4) – f(1) 4 - 1 O This contradicts the Mean Value Theorem since there exists a c on (1, 4) such that f'(c) = E O, but f is not continuous at x = 3. Nothing can be concluded.
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