AP Calculus – Across and Down Clue Set: #9 Topic: Motion w/derivatives, Mean-Value Theorem Only digits (0 – 9) and negative signs are allowed
AP Calculus – Across and Down Clue Set: #7 Topic: Derivatives –Derivatives of Inverses, Linear Approximation Only digits (0 – 9) and negative signs are
These sample exam questions were originally included in the AP Calculus AB and AP Calculus BC Curriculum Framework, published in fall 2014 The AP Calculus AB
AP® CALCULUS AB 2016 SCORING GUIDELINES a particle moves along the x-axis The particle is slowing down since the velocity and
for the exam, Peterson's Master AP Calculus AB BC will help you develop a 9 flip upside down, or (more mathematically) reflect across the x-axis
This AP Calculus AB Practice Exam is provided by the College Board for AP Exam parents, 23,000 high schools, and 3,500 colleges through major programs
Additional calculus topics will be introduced after the AP exam Throughout the year students are given examples of AP Free Response questions in the
on was collected through an online survey in which both high school teachers and college professors who serve as AP Calculus exam readers voluntarily
fair and that there is an appropriate spread of difficulty across the questions Throughout AP course and exam development, the College Board gathers
www.MasterMathMentor.com Illegal to Post on Internet - 9 - AP Calculus - Across and Down Clue Set: #9 Topic: Motion w/derivatives, Mean-Value Theorem Only digits (0 - 9) and negative signs are allowed. If an answer is an integer, use leading zeros to make the answer fit. (Ex: If 4 digits are required and your answer is 46,enter 0046.) If an answer has decimal places, the decimal point is dropped and trailing zeros are used to make the answer fit to the required number of decimal places which is specified in the problem. (Ex: If 2 decimal places are required and your answer is 12.4682, round to 12.47 and enter 1247. If one decimal place is required and your answer is 15, write 15.0 and enter 150. If one decimal place is required and your answer is 0.5, wrote 05.) Across A47. Determine how many times Rolles Theorem is satisfied for the function fx()=esinx()cosx() on the interval [0, 50]. Down D9. A model rocket has two stages. When it is launched, it travels upwards until it has no upward acceleration. At that time, the second stage ignites. How high is the rocket when the 2nd stage ignites (2 decimal places) if the rocket's height is described by yt()=t3-15t2+75t+5.2? D26. Suppose fx() is differentiable everywhere and f-4()=3 and fx()4for all values of x. Using the Mean-Value Theorem, what is the largest possible value of f7()? D28. The graph to the right shows the velocity vt() of a particle over a 100-second period of time. For how many seconds was the particle speeding up? D34. A particle subjected to huge forces is at the positions and has the velocities at t = 1.5 and t = 2 as shown in the table to the right. Find its average speed over that time interval. (2 decimal places). D65. The function fx()=x+10 passes through the points (1,11) and a,b(). If the value of c satisfying the Mean-Value Theorem for f on the interval 1,a[] occurs at c = 4, find the values of a and b that fit this situation. Write the answer as a, then b. txt()vt()1.514.8241.272.0-61.40-32.35