Approximate cos(0.01) using tangent line approximation: First note that cos(0.01) ≈ cos(0) Let f(x) = cos(x). Then f'(x) = _______ Let x0 = 0. Then f'(0) = _____ L(x), the line tangent to cos(x) at x0 = 0 is: L(x) = ______ Use the tangent line to approximate cos(0.01) cos(0.01) ≈ _____

Approximate cos(0.01) using tangent line approximation: First note that cos(0.01) ≈ cos(0) Let f(x) = cos(x). Then f'(x) = _____ Let x0 = 0. Then f'(0) = _ L(x), the line tangent to cos(x) at x0 = 0 is: L(x) = Use the tangent line to approximate cos(0.01) cos(0.01) ≈ _

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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Question

Approximate cos(0.01) using tangent line approximation:

First note that cos(0.01) ≈ cos(0)
Let f(x) = cos(x). Then f'(x) = _______
Let x₀ = 0. Then f'(0) = _____
L(x), the line tangent to cos(x) at x₀ = 0 is:
L(x) = ______

Use the tangent line to approximate cos(0.01)
cos(0.01) ≈ _____

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