Math 229 Lab 10: Section 12.1 Name Use good notation and show all of your work. Write solutions to word problems in a sentence. 1. Find the derivative of each function using the power rule. (a) y = 2x + 3 (e) y =x-1/3 (b) f(2) = 823 +5x2 ( f ) 67 7 - 22 2 2 + 72 (c) & [4VI - 14] (8) Dal(2 2 + 2) 2] (d) D t - 3t2 + 7t] t2 ( h ) $ 92 - 1/2 + 2 7 3 / 2 Page 1Math 229 Lab 10: Section 12.1 Name: 2. Let the price in dollars of a stereo system be given by p = 92 2000 + 1000 where q represents the demand for the product. Suppose the cost in dollars of producing q stereo systems is given by C(q) = 0.292 + 69 + 30. (a) Find the revenue and marginal revenue functions. (b) Find the marginal cost function. (c) Find the profit and marginal profit functions. (d) Determine the marginal revenue, cost, and profit when making and selling 10 stereos. Page 2