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Let f(x) be defined such that f(2) = 3 and f'(x) = cos(+ x), where 1 < x < 4. Part A: Find the tangent line approximation for f(2.1).

Let f(x) be defined such that f(2) = 3 and f'(x) = cos(+ x), where 1 < x < 4. Part A: Find the tangent line approximation for f(2.1).

Advanced Engineering Mathematics
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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Let f(x) be defined such that f(2)= 3 and f'(x) = cos(- +x), where 1<x< 4. Part A: Find the tangent line approximation for f(2.1). Part B: If f(2.1) has an actual value of 2.12, use the shape of the graph to determine if this is an overestimate or underestimate. Justify your answer.
Transcribed Image Text:Let f(x) be defined such that f(2)= 3 and f'(x) = cos(- +x), where 1<x< 4. Part A: Find the tangent line approximation for f(2.1). Part B: If f(2.1) has an actual value of 2.12, use the shape of the graph to determine if this is an overestimate or underestimate. Justify your answer.
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