Please answer the multiple choice from 4-9

21, I 4 (a) 4 (b) 8 (c) 10 (d) 11 (e) Does not exist f) None of them 12+3, I 1 Which of the following statements are true about f? I. f(1) exists II. lim f(x) exists III. f is continuous at I = 1 (a) I only (b) II only (c) I and II only (d) I and III only (e) All of them (f) None of them 6. The price per barrel of crude oil in constant 2008 dollars can be approximated by P(t) = 0.45t2 - 12t + 105 dollars, where t is time in years since the start of 1980 (t = 0). What was the average rate of change of the price of oil from the start of 1981 to the start of 2006. (a) 0.15 (b) -0.15 (c) 1782.15 (d) 0.3 (e) -0.3 (f) None of them 7. If the demand for a product is given by D(p) = 1000 - 1, what is the average rate of change VP of demand when p increases from 1 to 25. (a) -33.33 (b) - 32 (c) -8.29 (d) -7.96 (e) -4 (f) None of them 8. The profit (in dollars) from the sale of x infant car seats is given by P(r) = 45x - 0.025x2 - 5000. Find the instantaneous rate of change of the profit at a production level of 800 car seats. (a) 5 (b) 150 (c) 1050 (d) 5000 e) 15000 (f) None of them 9. If f(x) = 0.815 - 1013 + 16 5, then f'(2) = (a) -55.4 (b) -60.4 (c) -60 (d) -51.4 -65 (f) None of them Back