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Unformatted text preview: Find the area between the curves y = 6 x 2 and y = 126 x for ≤ x ≤ 2. 4 Problem 3. (15pts) The region bounded by y = sin x + cos x , y = 0, x = 0, and x = π/ 2 is revolved about the xaxis to generate a solid. Find the volume of this solid. 5 Problem 4. (18pts) Find the length of the curve deﬁned parametrically by x ( t ) = t 2 y ( t ) = 1 3 t 3t ≤ t ≤ 2 . 6 Problem 5. (18pts) The curve y = √ 2 x + 1 from x = 1 to x = 7 / 2 is revolved about the xaxis to generate a surface. Find the area of this surface. 7 Problem 6. A cake is formed by revolving the below shaded quarter of the disk ( x1) 2 + y 2 ≤ 1 about the yaxis. (a) (7pts) Set up but DO NOT EVALUATE the integral that would compute the volume of the cake using WASHERS . (b) (7pts) Set up but DO NOT EVALUATE the integral that would compute the volume of the cake using CYLINDRICAL SHELLS . 8...
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 Fall '06
 GROSS
 Math, Calculus, Cornell University

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