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).
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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Question
![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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2200cd9d-caad-4ce2-a00e-059f072c4d25%2F94b14365-056e-4cb8-9ae3-a3f568dd40d3%2Ffjr3c1me_processed.jpeg&w=3840&q=75)
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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