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Unformatted text preview: Z 1 Z 1 √ x Z 1-y dz dy dx using the order dxdz dy . (Don’t evaluate). 6. [24pt] SET UP (don’t evaluate) integrals whose values give: (a) The surface area of the part of the sphere x 2 + y 2 + z 2 = 4 that lies above the plane z = 1. (b) The volume of the region bounded above by the sphere x 2 + y 2 + z 2 = 4 and below by the plane z = 1, i. using cylindrical coordinates. ii. using spherical coordinates. 7. [15pt] Consider Z 2 Z √ 4-x 2 Z 2 √ x 2 + y 2 dz dy dx (a) Convert the given integral to an equivalent interated triple integral in terms of cylindrical coordinates. Don’t evaluate . (b) Convert the given integral to an equivalent interated triple integral in terms of spherical coordinates. Don’t evaluate ....
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This note was uploaded on 01/24/2011 for the course MATH 22 taught by Professor Brigham during the Winter '08 term at Missouri S&T.
- Winter '08