Compute the following integrals: (a) * 2 COS E dr dy. (b) Evaluate the double integral [lnele v)/(z1v)dA where D is the triangle with vertices (0, 0), (1,0) and (0, 1). (c) Compute the volume of the ellipsoid bounded by the surface r + y + z2 - 1, a > 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Compute the following integrals:
(a) / (/2 COSr
dr dy.
(b) Evaluate the double integral fl,ele v)/(z1v)dA where D is the triangle with
vertices (0,0), (1,0) and (0, 1).
(c) Compute the volume of the ellipsoid bounded by the surface r +
y
+ z2 - 1,
a > 0.
Transcribed Image Text:Compute the following integrals: (a) / (/2 COSr dr dy. (b) Evaluate the double integral fl,ele v)/(z1v)dA where D is the triangle with vertices (0,0), (1,0) and (0, 1). (c) Compute the volume of the ellipsoid bounded by the surface r + y + z2 - 1, a > 0.
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