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Unformatted text preview: = Z 1 (1x 4 ) dx = ( x1 5 x 5 ) i 1 = (11 5 ) = 4 5 5 5. Find the number b so that the average value of the function y = x 2 + bx + 2 on [0 , 1] is 1 3 . Average = 1 1Z 1 ( x 2 + bx + 2) dx = ( 1 3 x 3 + 1 2 bx 2 + 2 x ) i 1 = 1 3 + 1 2 b + 2 = 1 2 b + 7 3 . Set 1 2 b + 7 3 = 1 3 . Then b =4 6 6. (a) Sketch the curve with the polar equation r = . (b) Find the slope of the tangent line to the curve r = 2 sin at = / 6 dy dx = dy d dx d = d d (2 sin sin ) d d (2 sin cos ) = cos sin + sin cos cos cos sin sin = sin(2 ) cos(2 ) Thus dy dx = / 6 = sin( / 3) cos( / 3) = 3 7...
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 Fall '08
 Justin
 Math

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