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Unformatted text preview: 2 = x , but not differentiable at 2 = x . b. The function is defined at 1 = x , but ) ( lim 1 x f x does not exist. 7. Given 3 27 x y = , find 8 2 2 = x dx y d . (7 points) 8. If the cost of purifying a gallon of water to a purity of x percent is x x C-= 100 100 ) ( cents for 100 50 < x , a. Find the instantaneous rate of change of the cost with respect to purity. (5 points) b. Evaluate this rate of change for a purity of 95% and interpret your answer. (5 points) 10. A companys profit function is 200 6 ) (-= x x P dollars, where x is the number of units. a. Find the average profit function. (3 points) b. Find the marginal average profit function. (4 points) c. Evaluate the marginal average profit function x = 10 and interpret your answer. (3 points)...
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