hw2_sol_for_graded-1

hw2_sol_for_graded-1 - Instructor Prof Doyoon Kim TA Diogo...

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Unformatted text preview: Instructor: Prof. Doyoon Kim TA: Diogo Bessam Please, during (and only during) Fall 2008, report any typo/error you may nd directly to Diogo Bessam ([email protected]) 2.3.26 HW2 solutions for graded exercises, math118, 2008 y= 2x-1 1-x3 y (2x - 1) (1 - x3 ) - (1 - x3 ) (2x - 1) (1 - x3 )2 2(1 - x3 ) - (-3x2 )(2x - 1) = (1 - x3 )2 = This is sucient to compute m = y (0) = 2-0 = 2. Also, y(0) = -1, thus the 1 equation required is y - (-1) = 2(x - 0) or y = 2x - 1. 2.4.28 g(x) = 1+ 1 3x = 1+ 1 1/2 3x g (x) = 1 2 1+ 1 3x -1/2 1+ -1/2 1 3x 1 = 2 = - 1 1+ 3x 1 6x2 1+ - 1 3x2 1 3x 2.5.12 (a) R (q) = 240 - 0.1q , so, at a production level of 80 units per month, the marginal revenue is R (80) = 232 (b) R(81) - R(80)=$231.95 End. ...
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