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Find all points on the curve e = {{r,y) : x² – ry + y? = 7} where the tangent line to C is PERPENDICULAR to the line with equation y = 3x – 1.

Find all points on the curve e = {{r,y) : x² – ry + y? = 7} where the tangent line to C is PERPENDICULAR to the line with equation y = 3x – 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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{{x, y) : x² – xy + y² = 7} where the tangent line to C is 1. Find all points on the curve C = PERPENDICULAR to the line with equation y = 3x – 1. 2. Consider the famous 3D surface where x2 + y² + z² = a + 1. Explain, by using Theorem 105, why the surface has a tangent plane at any point on this surface.
Transcribed Image Text:{{x, y) : x² – xy + y² = 7} where the tangent line to C is 1. Find all points on the curve C = PERPENDICULAR to the line with equation y = 3x – 1. 2. Consider the famous 3D surface where x2 + y² + z² = a + 1. Explain, by using Theorem 105, why the surface has a tangent plane at any point on this surface.
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