Unformatted text preview: with vertices (1 , 1) , (2 , 1) and (1 , 2) about the x –axis. Problem 4: A tank in the form of a half sphere of radius 5m is sitting on a pole of height 10m. How much work is needed to ﬁll the tank with water? (Use g = 10m / s 2 .) Problem 5: Compute the following integrals. Z 2 x √ x + 1 d x Z ln x x 2 d x Z 2 1 ln x x d x Z π sin 2 x cos 2 x Z ln 2 e x 1 + e x d x...
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 Fall '08
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 Calculus, 5m, outer radius, ln x dx

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