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(a) Set up, but do not evaluate, a double integral for the area of the surface S with parametric equations x = au cos(v), y = bu sin(v), z = u², osus 2, osvs 27. O A(S) = (2bu? cos(v) + 2au? sin2(v) + abu) du dv 27 O A(S) = " (2bu? + 2au? + abu) du dv 27 O A(S) = V 4b?u4 + 4a?u4 + a?b?u² du dv 2л (2 O A(S) = V 4b?u4 cos?(v) + 4a²u^ sin²(v) + a²b?u? du dv 27 O A(S) = V 4b?u4 cos(v) + 4a?u4 sin(v) + a²b?u² du dv

(a) Set up, but do not evaluate, a double integral for the area of the surface S with parametric equations x = au cos(v), y = bu sin(v), z = u², osus 2, osvs 27. O A(S) = (2bu? cos(v) + 2au? sin2(v) + abu) du dv 27 O A(S) = " (2bu? + 2au? + abu) du dv 27 O A(S) = V 4b?u4 + 4a?u4 + a?b?u² du dv 2л (2 O A(S) = V 4b?u4 cos?(v) + 4a²u^ sin²(v) + a²b?u? du dv 27 O A(S) = V 4b?u4 cos(v) + 4a?u4 sin(v) + a²b?u² du dv

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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(a) Set up, but do not evaluate, a double integral for the area of the surface S with parametric equations x = au cos(v), y = bu sin(v), z = u², osus 2, osvs 27. 27 O A(S) = (2bu? cos(v) + 2au? sin2(v) + abu) du dv 27 O A(S) = (2bu? + 2au? + abu) du dv O A(S) = V 4b?u4 + 4a?u4 + a?b?u? du dv 27 O A(S) = V 4b?u4 cos?(v) + 4a?u* sin?(v) + a?b?u² du dv 27t O A(S) = V 4b?u4 cos(v) + 4a²u* sin(v) + a²b²u² du dv
Transcribed Image Text:(a) Set up, but do not evaluate, a double integral for the area of the surface S with parametric equations x = au cos(v), y = bu sin(v), z = u², osus 2, osvs 27. 27 O A(S) = (2bu? cos(v) + 2au? sin2(v) + abu) du dv 27 O A(S) = (2bu? + 2au? + abu) du dv O A(S) = V 4b?u4 + 4a?u4 + a?b?u? du dv 27 O A(S) = V 4b?u4 cos?(v) + 4a?u* sin?(v) + a?b?u² du dv 27t O A(S) = V 4b?u4 cos(v) + 4a²u* sin(v) + a²b²u² du dv
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