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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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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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