Let S denote the cone x? + 4y? = z². (a) Find an equation for the plane tangent to S at the point (3, -2, -5). (b) What happens if you try to find an equation for a tangent plane to S at the origin? Discuss how your findings relate to the geometry of S.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let S denote the cone x? + 4y? = z².
(a) Find an equation for the plane tangent to S at the point (3, -2, -5).
(b) What happens if you try to find an equation for a tangent plane to S at the origin?
Discuss how your findings relate to the geometry of S.
Transcribed Image Text:Let S denote the cone x? + 4y? = z². (a) Find an equation for the plane tangent to S at the point (3, -2, -5). (b) What happens if you try to find an equation for a tangent plane to S at the origin? Discuss how your findings relate to the geometry of S.
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