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

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

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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11:16 ZONE ZONE ...... 74% 5. a) Find parametric equations for the tangent line to the curve of intersection between the paraboloid z = x² +y² and the ellipsoid 4x²+y² +z² = 9 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 (√2, √2,4). Find a vector function for the curve of intersection. = 4 and S₂ : x² + y² − z = 0 at the point |||
Transcribed Image Text:11:16 ZONE ZONE ...... 74% 5. a) Find parametric equations for the tangent line to the curve of intersection between the paraboloid z = x² +y² and the ellipsoid 4x²+y² +z² = 9 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 (√2, √2,4). Find a vector function for the curve of intersection. = 4 and S₂ : x² + y² − z = 0 at the point |||
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