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For f differentiable such that f(1) = 3 and f'(1) = 4, the tangent line approximation of f(0.987) = 2.37. If this is an overestimate, what conclusion can be made about f? Of opens down on the interval 0.987 < x < 1 Of opens up on the interval 0.987

For f differentiable such that f(1) = 3 and f'(1) = 4, the tangent line approximation of f(0.987) = 2.37. If this is an overestimate, what conclusion can be made about f? Of opens down on the interval 0.987 < x < 1 Of opens up on the interval 0.987

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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For f differentiable such that f(1) = 3 and f'(1) = 4, the tangent line approximation of f(0.987) = 2.37. If this is an overestimate, what conclusion can be made about f? f opens down on the interval 0.987 < x < 1 f opens up on the interval 0.987 < x < 1 f opens down at x = 0.987 f opens up at x = 1
Transcribed Image Text:For f differentiable such that f(1) = 3 and f'(1) = 4, the tangent line approximation of f(0.987) = 2.37. If this is an overestimate, what conclusion can be made about f? f opens down on the interval 0.987 < x < 1 f opens up on the interval 0.987 < x < 1 f opens down at x = 0.987 f opens up at x = 1
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For f differentiable such that f(1) = 3 and f'(1) = 4, the tangent line approximation of f(0.987) = 2.37. If this is an overestimate, what conclusion can be made about f? Of opens down on the interval 0.987 < x < 1 Of opens up on the interval 0.987 <x< 1 f opens down at x = 0.987 f opens up at x = 1
Transcribed Image Text:For f differentiable such that f(1) = 3 and f'(1) = 4, the tangent line approximation of f(0.987) = 2.37. If this is an overestimate, what conclusion can be made about f? Of opens down on the interval 0.987 < x < 1 Of opens up on the interval 0.987 <x< 1 f opens down at x = 0.987 f opens up at x = 1
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