This test: 250 point(s) possible @ Test: Final Test 2 Submit test This question: 10 point(s) possible . . Draw a graph to match the description given. DueStlon IISt I g(x) has a negative derivative over (- o0, - 2) and a positive derivative over ( - 2,00). O Question 1 Which of the following graphs matches the description? O Question 2 Oa @ O Question 3 ) =z O Question 4 O Question 5 O Question 6 Test: Final Test 2 This test: 250 point(s) possible @ This question: 10 point(s) possible SLLIUUECEs Sketch the graph that possesses the characteristics listed. tion list Ques o S l fis concave down at (1,4), concave up at (7, - 6), and has an inflection point at (4, - 1). O Question 1 Choose the correct graph below. O Question 2 OA OB Oec. Ob. O Question 3 O Question 4 O Question 5 O Question 6 Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, R(x), and cost, C(x), of producing x units are in dollars. Question list 1+0.2x+4 O Question 1 What is the production level for the maximum profit? O Question 2 [ ] units What is the profit? O Question 3 O Question 4 O Question 5 N Aacstan o Question list K The average cost for a company to produce x units of a product is given by the function A(x) = 13X+ 75 -. Use A'(x) to estimate the change in average cost as production goes from 50 units to 51 X units. O Question 1 The change in average cost is approximately dollars. O Question 2 O Question 3 O Question 4 Question 5 O Question 6\fQuestion list K The rate at which a machine operator's efficiency, E (expressed as a percentage), changes with respect to time t is given by - = 30 -8t, where t is the number of hours the operator has been at dE work. a) Find E(t), given that the operator's efficiency after working 2 hr is 76%; that is, E(2) = 76. O Question 6 b) Use the answer in part (a) to find the operator's efficiency after 3 hr; after 5 hr. O Question 7 a) E(t) = b) The operator's efficiency after 3 hours is %. O Question 8 The operator's efficiency after 5 hours is%. O Question 9 O Question 10. . A note card company has found that the marginal cost per card of producing x note cards is given by the function below, where C'(x) is the marginal cost, in cents, per card. Find the total cost of Questlon ||St | producing 920 cards, disregarding any fixed costs. C''(x)= - 0.04x + 84, for x 0 40 80 120 D Question 14 a) The initial dosage is pg/mL. (Type an integer or a decimal.) D Question 15 b) The average amount of phenylbutazone in the calf's body for the time between 15 and 100 hours is D Hg/mL. ) Question 16 (Round the final answer to two decimal places as needed. Round all intermediate values to six decimal places as needed.) D Question 17 Question list K The rate at which electrical energy is used by the Ortiz family in one day, in kilowatt-hours (KW-h) per hour, is given by K(t) = 17te-, 8- where t is time, in hours. That is, t is in the interval [0,24]. K(t) = 17te-t O Question 17 a) How many kilowatt-hours does the family use in the first T hours of a day (t = 0 to t = T)? b) How many kilowatt-hours does the family use in the first 4 hours 2- of the day? t 6 8 O Question 18 10 O Question 19 a) How many kilowatt-hours does the family use in the first T hours of a day (t = 0 to t = T)? Choose the correct expression below. O Question 20 O A. - 17Te-T - 17e-T+17 O B. - 17e-T O C. - 17Te-T+ 17e-T-17 OD. 17 2-T + 17Te-T O Question 21 2 O E. - 17Te-T+ 17e-T+17 OF. 17 2- T +1The-T- 17 2 2 O Question 22 b) How many kilowatt-hours does the family use in the first 4 hours of the day? The family uses about KW-h in the first 4 hours of the day. O Question 23 (Round to three decimal places as needed.) Question 24. . D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units. Find (a) the Questlon ||St | equilibrium point, (b) the consumer surplus at the equilibrium point, and (c) the producer surplus at the equilibrium point. D(x)= - %x+ 12, S(x)= %x+4 O Question 17 O Question 18 (a) Find the equilibrium point. (Type an ordered pair, using integers or decimals.) O Question 19 (b) Find the consumer surplus at the equilibrium point. $| | (Type an integer or a decimal.) O Question 20 (c) Find the producer surplus at the equilibrium point. $| | (Type an integer or a decimal.) O Question 21 O Question 22 In 16 years, Oscar Douglas is to receive $300,000 under the terms of a trust established by his grandparents. Assuming an interest rate of 5.6%, compounded continuously, what is the present value Question list [& ' of Oscars legacy? O Question 17 The present value of the legacy is | |. (Round to the nearest cent as needed.) O Question 18 O Question 19 O Question 20 O Question 21 O Question 22 A company determines that its marginal cost, in dollars, for producing x units of a product is given by Question list K C'(x) = 3440x , where x 2 1. Suppose that it were possible for the company to make infinitely many units of this product. What would the total cost be? O Question 17 . . . O Question 18 The total cost would be $. (Round to the nearest integer as needed.) O Question 19 O Question 20 O Question 21 O Question 22 O Question 23 O Question 24. . Find k such that the function is a probability density function over the given interval. Then write the probability density function. Question list