Please answer the multiple choice from 10-16

10. Find the derivative of the function f(x) = 412 - 5x - 3 V2x2 - 3x + 4 (a) 212 - 44x + 29 1613- 3612 +911 - 49 8x -5 (212 - 3x + 4) 3/2 (b) 2(2x2 - 3x + 4)3/2 (c) 212 - 3x +4 212 - 44x + 29 (d) (e) 1613 - 3612 + 91x - 49 2(212 - 3x + 4)3/2 (212 - 3x + 4) 3/2 (f) None of them 11. The total cost (in dollars) of producing r food processors is C(r) = 2000 +50r - 0.5x2. Find the marginal average cost at a production level of 21 units. (a) 29 (b) -5.03515 (c) 71 (d) 2829.5 (e) 134.7381 (f) None of them 12. The price demand equation and the cost function for the production of table saws are given, respectively, by r = 6000 -30p and C(x) = 72000 + 60x, where r is the number of saws that can be sold at a price of $p per saw and C(x) is the total cost (in dollars) of producing saws. Find the marginal profit at a production level of 150 saws. (a) -3000 (b) -3600 (c) 60 (d) 190 (e) 130 (f) None of them 13. The number r of bicycle helmets people are willing to buy per week from a retail chain at a price of $p is given by x = 1000 - 72vp + 25. Find the instantaneous rate of change of demand with respect to price when the price is $56. (a) -2 (b) -3 (c) -4 (d) 2 (e) 3 (f) None of them 14. The revenue (in thousands of dollars) from the sale of a product is R(r) = 150x2 + 30(3x + 1) -1 - 30, where r is the number of units sold. How fast is the marginal revenue changing when I = 3? (a) 300.54 (b) 899.1 (c) 1323 (d) 300 (e) 869.1 (f) None of them 15. If the total profit, in thousands of dollars, for a product is given by P(x) = 20vr + 1-21-30. How fast is the marginal profit changing when a = 3? (a) -2.625 (b) -0.625 (c) 2 (d) 3 (e) 4 (f) None of them 16. Determine the relative extrema for the function f(x) = 2x4 -413 - 45x2 + 200. (a) Relative maximum at r = -5, and relative minima at r = -3 and 0. (b) Relative minimum at I = 0, and relative maxima at r = -3 and 5. (c) Relative maximum at x = 0, and relative minima at I = -3 and 5. (d) Relative maximum at x = 5 and no relative minimum. (e) No relative extrema. (f) None of them