Unformatted text preview: b) find its volume 5) Use the “Disc Method” to verify the volume of a cone = 1 3 ! r 2 h 6) A water tank shaped like a hemisphere with radius 10 ft is filled with water to a depth of 6 ft. Find the volume of water in the tank. 7) A cylindrical glass of height 12 in and radius 2 in , full of water, is tilted until the remaining water just covers the circular base. Calculate the volume of water left in the glass using: a) rectangular crosssections b) common sense 8. More practice with integration… a) x 3 x 4 + 1 dx ! b) x 4 + 1 x 3 dx ! c) x 7 ( x 4 + 1) 3 dx ! d) e x ( x + 1)sin( xe x ) dx ! e) cos(5 x ) 1 + sin(5 x ) dx ! f) cos(4 x ) 1 + sin 2 (4 x ) dx ! [hint: use a trig identity] g) sin(3 x ) 1 ! sin 2 (3 x ) dx " h) (sin2 x + cos2 x ) 2 dx !...
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This note was uploaded on 05/26/2011 for the course MATH 16B taught by Professor Sarason during the Spring '06 term at Berkeley.
 Spring '06
 Sarason
 Calculus, Integrals

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