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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, 0 s v s 27. O A(S) = (2bu? cos(v) + 2au? sin?(v) + abu) du dv 27 O A(S) = (2bu? + 2au2 + abu) du dv -27 O A(S) = V 4b?u4 + 4a²u4 + a²b?u² du dv -27 O A(S) = V 4b?u4 cos?(v) + 4a²uª sin²(v) + a²b?u² du dv -27 O A(S) = V 4b?u* cos(v) + 4a²uª 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, 0 s v s 27. O A(S) = (2bu? cos(v) + 2au? sin?(v) + abu) du dv 27 O A(S) = (2bu? + 2au2 + abu) du dv -27 O A(S) = V 4b?u4 + 4a²u4 + a²b?u² du dv -27 O A(S) = V 4b?u4 cos?(v) + 4a²uª sin²(v) + a²b?u² du dv -27 O A(S) = V 4b?u* cos(v) + 4a²uª sin(v) + a²b?u² du dv

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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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) + 2au2 sin2(v) + abu) du dv O A(S) = (2bu? + 2au? + abu) du dv 27 O A(S) = V 4b?u4 + 4a²u4 + a?b?u² du dv -27 O A(S) = V 4b?u4 cos?(v) + 4a?u4 sin?(v) + a²b²u² du dv -27 O A(S) = V 4b?u4 cos(v) + 4a?u4 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) + 2au2 sin2(v) + abu) du dv O A(S) = (2bu? + 2au? + abu) du dv 27 O A(S) = V 4b?u4 + 4a²u4 + a?b?u² du dv -27 O A(S) = V 4b?u4 cos?(v) + 4a?u4 sin?(v) + a²b²u² du dv -27 O A(S) = V 4b?u4 cos(v) + 4a?u4 sin(v) + a²b²u² du dv
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