A surface S consists of the cylinder x 2 + y 2 = 1, -1 < z
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A surface S consists of the cylinder x2 + y2 = 1, -1 < z < 1, together with its top and bottom disks. Suppose you know that f is a continuous function with f (±1, 0, 0) = 2 f (0, ±1, 0) = 3 f (0, 0, ±1) = 4 Estimate the value of ʃʃS f (x, y, z) dS by using a Riemann sum, taking the patches Sij to be four quarter-cylinders and the top and bottom disks.
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Each quartercylinder has surface area 212 and the top and bottom ...View the full answer
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