math final 2007 fall

Dx d dx 2x 7 2x 4 4x 1 42 x 3 3 2x 2x 1 2x 7 4 2x

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Unformatted text preview: get critical values we set 0.00002 x 3 9. P x 2 3 6x 2 x dy dx 7 7 2x 7 6 2x 7 9 d 2 x ln 4 x 1 dx d x e2x x e2x 2 e2x 1 e2x 2x 1 dx d e2x 2x 1 e2x 2 2x 1 e2x 2 2e 2 x dx 4 e0 0 1 f0 4 7. f x sin 1 9 x 0.009 x 2 6 x 1000 Px 0 x 0 or 2 0.00006 x 2 0.018 x 6 2 P 100 0.00006 100 0.018 100 6 P 100 3.6 If 100 televisions are manufactured and sold, the profit is increasing at the rate of $3.60 per television. 10. d 2 x y 3 dx 5 3 x y2 dy dx mT y y1 d 4 y 5x2 dx y3 51 31 0 mT x x1 2 0 2 dy dx 2 x 3 y2 dy 3 x y2 dx 5x 3 mT 2 y0 dy dx y3 1 2 4 y3 5x dy 10 x dx dy dx 5x y3 3 x y2 2 5 2 5x1 2 y 5x 2 5 2 (the tangent line) 11. (a) p 32 32 0.09 x 50 x 200 If the price per unit is $32.00 then 200 units will be sold. R...
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