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Find the equation of the tangent line of the function at the given point. 9. f(x) = 3x+2 (0,-2) x-1 10. g(x) = sin 2x (.1)

Find the equation of the tangent line of the function at the given point. 9. f(x) = 3x+2 (0,-2) x-1 10. g(x) = sin 2x (.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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**Problem Statement:** Find the equation of the tangent line of the function at the given point. **Exercise 9:** Function: \( f(x) = \frac{3x+2}{x-1} \) Point: \( (0, -2) \) **Exercise 10:** Function: \( g(x) = \sin 2x \) Point: \( \left(\frac{\pi}{4}, 1\right) \)
Transcribed Image Text:**Problem Statement:** Find the equation of the tangent line of the function at the given point. **Exercise 9:** Function: \( f(x) = \frac{3x+2}{x-1} \) Point: \( (0, -2) \) **Exercise 10:** Function: \( g(x) = \sin 2x \) Point: \( \left(\frac{\pi}{4}, 1\right) \)
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