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Suppose f(x) is continuous on [4, 6] and −4 ≤ f'(x) ≤ 3 for all x in (4, 6). Use the Mean Value Theorem to estimate f(6) - f(4).

Suppose f(x) is continuous on [4, 6] and −4 ≤ f'(x) ≤ 3 for all x in (4, 6). Use the Mean Value Theorem to estimate f(6) - f(4).

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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Suppose \( f(x) \) is continuous on \([4, 6]\) and \(-4 \leq f'(x) \leq 3\) for all \( x \) in \( (4, 6) \). Use the Mean Value Theorem to estimate \( f(6) - f(4) \). \[ \text{Answer: } \_\_\_ \leq f(6) - f(4) \leq \_\_\_ \]
Transcribed Image Text:Suppose \( f(x) \) is continuous on \([4, 6]\) and \(-4 \leq f'(x) \leq 3\) for all \( x \) in \( (4, 6) \). Use the Mean Value Theorem to estimate \( f(6) - f(4) \). \[ \text{Answer: } \_\_\_ \leq f(6) - f(4) \leq \_\_\_ \]
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