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A curve is given implicitly by x cos(y) = x – 2 y. 5.1. Find Y. 5.2. Verify that (x, y) = (2, 0) is on this curve. 5.3. Determine an equation of the tangent line to this curve at (2, 0).

A curve is given implicitly by x cos(y) = x – 2 y. 5.1. Find Y. 5.2. Verify that (x, y) = (2, 0) is on this curve. 5.3. Determine an equation of the tangent line to this curve at (2, 0).

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 5 A curve is given implicitly by the equation \( x \cos(y) = x - 2y \). #### Tasks: **5.1.** Find \(\frac{dy}{dx}\). **5.2.** Verify that \((x, y) = (2, 0)\) is on this curve. **5.3.** Determine an equation of the tangent line to this curve at \((2, 0)\).
Transcribed Image Text:### Problem 5 A curve is given implicitly by the equation \( x \cos(y) = x - 2y \). #### Tasks: **5.1.** Find \(\frac{dy}{dx}\). **5.2.** Verify that \((x, y) = (2, 0)\) is on this curve. **5.3.** Determine an equation of the tangent line to this curve at \((2, 0)\).
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