AP Calculus ABScoring GuideUnit 4 Progress Check: MCQCopyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online orin print beyond your school’s participation in the program is prohibited.Page 1 of 151.The mass of a colony of bacteria, in grams, is modeled by the function given by, where is measured in days. What is the instantaneous rate of change ofthe mass of the colony, in grams per day, at the moment the colony reaches a mass of 6 grams?AB0.250C1.214D1.9422.The derivative of the function is given by , and . If the linearapproximation to at is used to estimate , at what value of does the linearapproximation estimate that ?A0.498B1.166C1.698D2.4003.Oil is spilled onto a kitchen floor. The area covered by the oil at time is given by the function ,where is measured in square centimeters and is measured in seconds. Which of thefollowing gives the rate at which the area covered by the oil is changing at time ?

AP Calculus ABScoring GuideUnit 4 Progress Check: MCQCopyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online orin print beyond your school’s participation in the program is prohibited.Page 2 of 15ABCD4.The figure above shows the graph of the differentiable function for and the secant linethrough the points and . For how many values of in the closed interval does the instantaneous rate of change of at equal the average rate of change of over thatinterval?

AP Calculus ABScoring GuideUnit 4 Progress Check: MCQCopyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online orin print beyond your school’s participation in the program is prohibited.Page 3 of 15AZeroBTwoCThreeDFour5.A particle moves along the -axis. The graph of the particle’s velocity at time is shown abovefor . How many times does the particle change direction over the time interval?

AP Calculus ABScoring GuideUnit 4 Progress Check: MCQCopyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online orin print beyond your school’s participation in the program is prohibited.Page 4 of 15AThreeBFourCFiveDEight6.A particle moves along the -axis so that at time its position is given by