x²+y² and the ellipsoid 4x²+y²+z² = 9 5. a) Find parametric equations for the tangent line to the curve of intersection between the paraboloid z => at the point (-1,1,2). Also, find a vector function that represents the curve of intersection. b) Find parametric equations for the line tangent to the curve of intersection between S₁: x² + y² = 4 and S₂ : x² + y² − z = 0 at the point (√2, √2,4). Find a vector function for the curve of intersection.

x²+y² and the ellipsoid 4x²+y²+z² = 9 5. a) Find parametric equations for the tangent line to the curve of intersection between the paraboloid z => at the point (-1,1,2). Also, find a vector function that represents the curve of intersection. b) Find parametric equations for the line tangent to the curve of intersection between S₁: x² + y² = 4 and S₂ : x² + y² − z = 0 at the point (√2, √2,4). Find a vector function for the curve of intersection.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.5: Polar Coordinates

Problem 97E

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