2012 ap calculus ab multiple choice questions and answers

Unit three: Differentiation: Composite, Implicit, and Inverse Functions – understand the differentiation of implicit and inverse functions and apply the chain rule to find derivates of composite functions (9-13%).Unit two: Differentiation: Definition and Fundamental Properties – explore how limits change over small intervals and understand how derivatives are a tool to measure the rate of change from one variable to another (10-12%).Unit one: Limits and Continuity – examine various graphs of functions and forms of the conceptual basis of calculus: limits (10-12%).Your teacher may choose to group them together differently or teach them in a different order, but you should be able to familiarize yourself with these topics: There are eight units covered on the AP calculus AB exam and in your AP calculus class. There are actually two AP calculus exams, so before you go any further, make sure you are going to be taking the AP calc AB exam not the BC exam. Keep reading to learn how to gain at least a three. Passing with a three or better allows you to skip that college credit. (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.Just like any AP course you may take, you have the chance to take an exam at the end of the course to earn a college credit for your hard work, an AP calculus class is the same. (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. Is this an overestimate or an underestimate of the total amount of water removed? Give a reason for your answer. (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

2012 ap calculus ab multiple choice questions and answers