52. Evaluate || F.n ds, where F = 2xy i + yz? j + xz k and S is: (a) the surface of the parallelepiped bounded by x= 0, y = 0, z = 0, x = 2, y = 1 and z = 3, (b) the surface of the region bounded by x= 0, y = 0, y = 3, z = 0 and x+ 2z = 6. Ans. (a) 30 (b) 351/2
52. Evaluate || F.n ds, where F = 2xy i + yz? j + xz k and S is: (a) the surface of the parallelepiped bounded by x= 0, y = 0, z = 0, x = 2, y = 1 and z = 3, (b) the surface of the region bounded by x= 0, y = 0, y = 3, z = 0 and x+ 2z = 6. Ans. (a) 30 (b) 351/2
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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