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Unformatted text preview: x cos x , a = π 3 (b) f ( x ) =  x 22 x  , a = 1 2 . (c) f ( x ) = sin 2 πx 3 , a = 5 . (d) f ( x ) = sin x 1 + cos x , a = π 3 . 2 3. A rectangle of ﬁxed perimeter p cm is rotated around one of its sides to sweep out a right circular cylinder (see # 8, page 159). What is the maximum possible volume of this cylinder? 4. Find the maximum possible volume of a right circular cylinder if its total surface area, including both ends, is A cm 2 . See # 12, page 159. 3 5. A piece of wire L cm long is cut into 2 pieces. One piece is made into a circle and the other into a square. Where should the cut be made so as to maximize the sum of the areas of the circle and square? 6. Find the dimensions of the rectangle (with sides parallel to the coordinate axes) of maximal area that can be inscribed in the ellipse x 2 a 2 + y 2 b 2 = 1 , where a, b are positive. See # 36 on p. 161. 4...
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This note was uploaded on 01/12/2010 for the course STAT 100 taught by Professor Denissjerve during the Winter '06 term at San Jose State.
 Winter '06
 denissjerve

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