\fC28. For the function y = f(x) = x , find e a) 4x (Ar) +6x (Ax) +4x(Ax)' + (Ax) b) 4x c) 4x dx d) 6x (Ax)' +4x(Ax)' + (Ar)* e) 6x-(Ar) +4x(Ax)' + (Ax)'C31. For which value of x does the graph of the function f(x) = e" In x have a horizontal tangent? Round your answer to the nearest hundredth. a) 1 b) 1.76 c) 2.81 d) 3.93 e) NeverC32. Given In(2x - 3) = 4", then to three decimal places, x = a) 1.540 b) 2.031 c) 3.057 d) 4.201 e) 5.057 C33. How much should be deposited into an account today if it is to accumulate to $15000 in 7 years and it earns 3.8% annual interest compounded quarterly? a) $11721.50 b) $11496.60 c) $11511.00 d) $19571.00 e) $9892.80C35 If $20,000 per year flows uniformly over a 30 year period and earns 4.5% interest, compounded continuously, then the present value, to the nearest dollar, is a) $5,185 b) $329,227 c) $275,384 d) $77,148 e) $487,139D4. Select the correct mathematical formulation of the following problem. A rectangular area must be Enclosed as shown. The sides labeled it cost $20 per foot. The sides labeled 3' cost $10 per foot. If at most $300 can he spent, what should x and y be to produce the largest area? a) Maximize 1): if 403: + 20y = 300 b) Maximize 1y if 20x + 10y = 300 c] Maximize 1): if 2): + 2y = 300 d) Maximize 2x + 2y if xy = 300 e) Maximize 2x + 2y if 2001}! = 300 Y Y