AP Calculus AB Maths Ab 2024 MS

AB 2024 MS

Course: AP Calculus ABDownload Link

AP® Calculus ABScoring Guidelines2024© 2024 College Board. College Board, Advanced Placement, AP, AP Central, and the acorn logo are registered trademarks of College Board. Visit College Board on the web: collegeboard.org.AP Central is the official online home for the AP Program: apcentral.collegeboard.org.

AP® Calculus AB/BC 2024 Scoring Guidelines © 2024 College Board Part A (AB or BC): Graphing calculator required Question 19 pointsGeneral Scoring NotesThe model solution is presented using standard mathematical notation. Answers (numeric or algebraic) need not be simplified. Answers given as a decimal approximation should be correct to three places after the decimal point. Within each individual free-response question, at most one point is not earned for inappropriate rounding. 037 12(minutes)100 85 69 55(degrees Celsius)tC tt,CC t012,t C tModel Solution Scoring (a) 5CC37.t  7369 85547 34C CC Estimate with supporting work 1 pointUnits 1 point Scoring notes: 16,7 369 85,7 3 or 69 8545CTotal for part (a)2 points

AP® Calculus AB/BC 2024 Scoring Guidelines © 2024 College Board (b)  120.C t dt 120112C t dt         120373 10074 85 5 69 9853 007 312C t dtCCC     Form of left Riemann sum 1 pointEstimate 1 point 120112C t dt is the average temperature of the coffee (in degrees Celsius) over the interval from 0t to 12.tInterpretation 1 point Scoring notes: A response of 73 00712 733CCC earns the first point. Values must be pulled from the table to earn the second point. 3 100 4 85 5 69    3 85 4 69 5 55    806Total for part (b)3 points(c) 1220,t  0.0124.55,teC ttC t20.t    20122012C CC t dtIntegral 1 pointUses initial condition 1 point55 14.670812 40.329188 The temperature of the coffee at time 20t is 40.329 degrees Celsius. Answer 1 point

AP® Calculus AB/BC 2024 Scoring Guidelines © 2024 College Board Scoring notes:.C t  20122055 14.670812CC t dt  201214.670812 40.329188C t dt dto    20122012C CC t  20122055CC t o    20122012CC t C  20122055CC t12C5512,55 14.67114.671 5540.329Total for part (c)3 points(d)  0.0120.2455100.tetC tt1220,t Because 0C t on the interval 1220,t  the rate of change in the temperature of the coffee, ,C t is increasing on this interval. That is, on the interval 1220,t  the temperature of the coffee is changing at an increasing rate. Answer with reason 1 point Scoring notes: .CC t1220t Total for part (d)1 pointTotal for question 19 points

AP® Calculus AB/BC 2024 Scoring Guidelines © 2024 College Board Part A (AB): Graphing calculator required Question 29 pointsGeneral Scoring NotesThe model solution is presented using standard mathematical notation. Answers (numeric or algebraic) need not be simplified. Answers given as a decimal approximation should be correct to three places after the decimal point. Within each individual free-response question, at most one point is not earned for inappropriate rounding.x0t 2ln450.2 .v t t tt  Model Solution Scoring (a) ,Rt t02t .Rt0,Rt t 01.425610v tt  Therefore, the particle is at rest (not moving) at 1.426Rt (or 1.425). Rt1 pointFor 0,Rt t 0.v t Therefore, the particle is moving to the right on that interval. Direction with explanation 1 point Scoring notes: 0v t1.426t1.425tRtv t,t01.426.t Total for part (a)2 points

AB 2024 MS

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