Let S be the surface of revolution of the curve C: z? + (y+ 5)² = 4. (a) Find a parametrization of the surface. (b) Find a normal vector to S at (-2/2, –2/2, /3). (c) Find the equation of the tangent plane to S at (-2/2, –2/2, v3). (d) Write down an integral for the area of the surface S. You don't need to evaluate the integral.
Let S be the surface of revolution of the curve C: z? + (y+ 5)² = 4. (a) Find a parametrization of the surface. (b) Find a normal vector to S at (-2/2, –2/2, /3). (c) Find the equation of the tangent plane to S at (-2/2, –2/2, v3). (d) Write down an integral for the area of the surface S. You don't need to evaluate the integral.
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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![Let S be the surface of revolution of the curve C: z2 + (y + 5)² = 4.
(a) Find a parametrization of the surface.
(b) Find a normal vector to S at (-2/2, –2/2, /3).
(c) Find the equation of the tangent plane to S at (-2/2, –2/2, V3).
(d) Write down an integral for the area of the surface S. You don't need to evaluate the integral.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc2397270-c13f-4cbc-8085-ef9e58d3496f%2F03663a5a-1bc1-4d25-b3d7-1285094bd108%2Ffmdtuq7_processed.png&w=3840&q=75)
Transcribed Image Text:Let S be the surface of revolution of the curve C: z2 + (y + 5)² = 4.
(a) Find a parametrization of the surface.
(b) Find a normal vector to S at (-2/2, –2/2, /3).
(c) Find the equation of the tangent plane to S at (-2/2, –2/2, V3).
(d) Write down an integral for the area of the surface S. You don't need to evaluate the integral.
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