no need explanations, this is a practice exam, just want to make sure my answer is correct

23. Suppose N is a positive integer, an = f(n), and INf (x) dx diverges. What does the integral test tell us about _n = N an ? A. Converges B. Diverges C. Not enough information to make a solid conclusion.25. Let W = 10 12 16 Let Q = 12 16 10 20 . . . Notice that Q is a rearrangement of the terms of W . Is Q = W? A. Yes B. No27. 12sin (7 + nn) Given the series how many terms are needed to give an approximation 5n - 6 Un = 0 accurate to 4 decimal places? A. 37 terms B. 30 terms C. 28 terms D. 36 terms E. 29 termsDo not write on this exam 3. 1 55 ft 80 ft A bungee jumper leaps off a bridge 80 feet above the ground using a 55-foot-long bungee cord. Her height as a function of time is modeled by the following equation: h (z) = 60sin (1 +1) + 30 3 (1+ 1)4 What is the highest elevation the bungee jumper achieves after the initial descent? A. 43 ft B. 40 ft C. 80 ft D. 65 ft E. 34 ft34 28 ft. 6 ft As shown in the above picture, a 6 foot tall man is standing on a beach at night. He watches as a boat out at sea sails away from him at a constant rate of 10 feet per minute. This boat has a powerful light shining back at him, casting a shadow. If the light is 28 feet \\mbox{above the water, at what rate is the length of the man's shadow} changing in feet per minute? Round to three decimal places. A. 10.333 ft/min B. 13.333 ft/min C. 2.727 ft/min D. 11.662 ft/min E. 5.222 ft/min 35. Determine whether the following equation is true or false. d z 69 dq = Inz 6z dz / 10 In q A. True B. Falsealternating series test is inconclusive. 44. How many terms do we need be accurate within 5 decimals for the series 4(-1)"+1 ? In = 1 2n . 2/ A. 15 terms B. 12 terms C. 13 terms D. 14 terms E. 16 terms 45. " can be calculated by using the following series: " = 1 - 3 + 1 1 . . . What is the error bound for a 50 term calculation? A. 0.01100110 B. 0.00970087 C. 0.01010101 D. 0.00990099 E. 0.00987654