The tangent plane to a surface S at a point (a, b, c) is given by the equation a cos(√a² +6²) b cos(√a² +62) √a² +6² -(y-b)(z-c) = 0 √a² +6² for a² + b² ≤ 16π². Furthermore, (0, 0, 2) is a point on the surface. -(x − a) + (a) Find an equation for the surface S. (b) Parametrize S.
The tangent plane to a surface S at a point (a, b, c) is given by the equation a cos(√a² +6²) b cos(√a² +62) √a² +6² -(y-b)(z-c) = 0 √a² +6² for a² + b² ≤ 16π². Furthermore, (0, 0, 2) is a point on the surface. -(x − a) + (a) Find an equation for the surface S. (b) Parametrize S.
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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Transcribed Image Text:1.
The tangent plane to a surface S at a point (a, b, c) is given by the equation
a cos(√a² +6²)
√a² +6²
b cos(√a² +6²)
√a² +6²
for a² + b² ≤ 16π². Furthermore, (0, 0, 2) is a point on the surface.
-(x − a) +
(a) Find an equation for the surface S.
(b) Parametrize S.
-(y - b)(z-c) = 0
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