Problem #1: By simplifying the given expression on the left hand side of each equation, find the value of the question mark on the corresponding right hand side. (a) (b) (x - 1) ((x -1)3) = (x-V) (c) (x - a)1 (x - a) -6 (x - a) = (x-a)' Problem #1(a): Problem #1(b): Problem #1(c):Problem #2: By simplifying the expression on the left hand side of the following equation, find the values of a and b on the right hand side. -3/2 ( x 1/2 , 1/4 ) -2 = xayb Enter the values of a and b (in that order) into the answer box below, separated by a comma. Do not include 'a =' or 'b = ' in your answer. e.g., 4,-7/2 Problem #2:Problem # 5: Suppose that $3000 is invested at an annual interest rate of 6%. Compute the balance after 14 years if the interest is compounded. (a) manually (b) semiannuall}.r (c) quarterly (d) continuously Problem #5(a}: I:| Round your answer to 2 decimals. Problem #5::b}: |:| Round your answer to 2 decimals. Problem #53:}: I:| Round your answer to 2 decimals. Problem #5::d}: I:| Round your answer to 2 decimals Problem #4: Find all values of the constants C and b such that the curve: y = Cb* passes through the points (4, 36) and (5, 144). Enter your answer Problem #4: symbolically, as in these Separate your answers with a comma, i.e., C, b examples