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2.7 Rates of Change in the Natural and Social Sciences: Problem 5 Previous Problem Problem List Next Problem (1 point) If one molecule of the product C is formed from one molecule of the reactant A and one molecule of the reactant B, and the initial concentrations of A and B have a common value [A]=[B]= a moles/L, then [c]= akt/ (akt + 1), where k is a constant. (a) Find the rate of reaction at time t. (b) If I =[C]. what is dax / dt in terms of a, k, and a? (c) What happens to the concentration as t - co? (d) What happens to the rate of reaction as t - DO? (What do the results mean in (c) and (d) in practical terms?) (a) (b) (c) (d) Note: You can earn partial credit on this problem. Preview My Answers Submit Answers2.7 Rates of Change in the Natural and Social Sciences: Problem 6 Previous Problem Problem List Next Promlem (1 point) Suppose that the cost (in dollars) for a company to produce I pairs of a new line of jeans is C(x) - 4000 + 3.r + .01x2 + .0002x3. (a) Find the marginal cost function. (b) Find C' (100). (What does this mean?) (c) Find the cost of manufacturing the 101 pair of jeans. (a) C (x) = (b) C' (100) dollars/pair (c) Cost = dollars Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining.2.7 Rates of Change in the Natural and Social Sciences: Problem 3 Previous Problem Problem List Next Problem (1 point) A mass attached to a vertical spring has position function given by s(t ) = 3 sin ( 2t ) where f is measured in seconds and $ in inches. Find the velocity at time t = 1. -2.4968 Find the acceleration at time { = 1. 5.4557 Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 2 times. Your overall recorded score is 50%. You have unlimited attempts remaining. Email instructor Page generated at 11/12/2020 at 09 15am ESTMAA MATHEMATICAL ASSOCIATION OF AMERICA