Consider the following equation. (y - x)² + 2 = xy - 3 Check that the point (2, 3) lies on the curve. Then, viewing the curve as a contour of f(x, y), use grad f(2, 3) to find a vector normal to the curve at (2, 3). Use your answer above to find an equation for the tangent line to the curve at (2, 3).
Consider the following equation. (y - x)² + 2 = xy - 3 Check that the point (2, 3) lies on the curve. Then, viewing the curve as a contour of f(x, y), use grad f(2, 3) to find a vector normal to the curve at (2, 3). Use your answer above to find an equation for the tangent line to the curve at (2, 3).
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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