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, v3). (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
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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, v3).
(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.
Transcribed Image Text: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, v3). (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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