2. Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces S₁: x²+y² + z² = 30 and S2: z = x² + y² at the point (1,2,5).

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
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2.
Find a set of parametric equations for the tangent line to the curve of
intersection of the surfaces S₁: x²+y² + z² = 30 and S2: z = x² + y² at the point
(1,2,5).
Transcribed Image Text:2. Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces S₁: x²+y² + z² = 30 and S2: z = x² + y² at the point (1,2,5).
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