ap calculus ab multiple choice 2012 questions and answers

(d) For 0 ≤ t ≤ 8, is there a time t when the rate at which water is pumped into the tank is the same as the rate at which water is removed from the tank? Explain why or why not. Facts about the test: The AP Calculus exam has two sections of multiple choice: 30 questions in 60 minutes with no calculator, and 15 questions in 45 minutes with a calculator.

This section has 16 multiple-choice questions, answers, the description of the range, and 2 free-response questions. However, you still can start from page 5 of AP Calculus AB Official Past Exams. Except from the 19 past exam questions, there are no other complete past exam questions. At height h, the radius of the funnel is given by r 1/20 (3 + h 2 ), where 0 h 10. Click here for the practice questions: AP Calculus Unit 1 Multiple Choice Questions. AP Calculus AB Multiple-Choice Questions. (c) Use your answer from part (b) to find an estimate of the total amount of water in the tank, to the nearest liter, at the end of 8 hours. Show Step-by-step Solutions AP Calculus AB 2016 Free Response Question 5 The inside of a funnel of height 10 inches has circular cross sections, as shown in the figure above. When this happens, select from among the choices the number that best approximates. Notes: (1) The exact numerical value of the correct answer does not always appear among the choices given. Is this an overestimate or an underestimate of the total amount of water removed? Give a reason for your answer. 1997 AP Calculus AB: Section I, Part A Questions 8-9 refer to the following situation. (b) Use a left Riemann sum with the four subintervals indicated by the table to estimate the total amount of water removed from the tank during the 8 hours.

At time t = 0, there are 50,000 liters of water in the tank. Selected values of R(t) are shown in the table above. Water is removed from the tank at a rate modeled by R(t) liters per hour, where R is differentiable and decreasing on 0 ≤ t ≤ 8.

Water is pumped into a tank at a rate modeled by W(t) = 2000e -t 2/20 liters per hour for 0 ≤ t ≤ 8, where t is measured in hours.

Questions And Worked Solutions For AP Calculus AB 2016ĪP Calculus AB 2016 Free Response Questions - Complete Paper (pdf)ĪP Calculus AB 2016 Free Response Question 1

Ap calculus ab multiple choice 2012 questions and answers