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).

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter7: Integration

Section7.1: Antiderivatives

Problem 45E

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