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1. Consider the ellipsoid (a) Parametrize the surface S = r(u,v) by z = a sin(u) sin(v), y = bcos(u) sin(e), and z= cos(r) with appropriate values for a, b and e. (b) Determine the unit normal vector n for the point ) in (u, v) space. (c) Evaluate directly /|F.dS where F = ayi – B2²j + nk

1. Consider the ellipsoid (a) Parametrize the surface S = r(u,v) by z = a sin(u) sin(v), y = bcos(u) sin(e), and z= cos(r) with appropriate values for a, b and e. (b) Determine the unit normal vector n for the point ) in (u, v) space. (c) Evaluate directly /|F.dS where F = ayi – B2²j + nk

Advanced Engineering Mathematics
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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please solve the following, where:

alpha=1

beta=6

gamma=13

1. Consider the ellipsoid (a) Parametrize the surface S = r(u, v) by a = asin(u) sin(v), y = and z = c cos(v) with appropriate values for a, b and c. (b) Determine the unit normal vector n for the point (G) bcos(u) sin(v), in (u, v) space. (c) Evaluate directly F. dS where F = ay'i – B:²j+ 7k
Transcribed Image Text:1. Consider the ellipsoid (a) Parametrize the surface S = r(u, v) by a = asin(u) sin(v), y = and z = c cos(v) with appropriate values for a, b and c. (b) Determine the unit normal vector n for the point (G) bcos(u) sin(v), in (u, v) space. (c) Evaluate directly F. dS where F = ay'i – B:²j+ 7k
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