1. Question Bank
  2. ›AP Calculus Ab
  3. ›AP Calculus Ab AP Calculus Ab 25 Sec2
Filters0 active

May 2025 Section II

0/54 marks

2025 · 6 questions · 24 parts · 54 marks

0Correct0Partial0Wrong24Unattempted
1(A)1(B)1(C)1(D)2(A)2(B)2(C)2(D)3(A)3(B)3(C)3(D)4(A)4(B)4(C)4(D)5(A)5(B)5(C)5(D)6(A)6(B)6(C)6(D)
Context for question 3
A student starts reading a book at time t=0 minutes and continues reading for the next 10 minutes. The rate at which the student reads is modeled by the differentiable function R, where R(t) is measured in words per minute. Selected values of R(t) are given in the table shown.
t (minutes)02810
R(t) (words per minute)90100150162
3(A)Optimisation and Related RatesEasy2 marks
Approximate R′(1) using the average rate of change of R over the interval 0≤t≤2. Indicate units of measure.
3(B)Limits and ContinuityEasy2 marks
Must there be a value c, for 0<c<10, such that R(c)=155? Justify your answer.
3(C)Numerical Differentiation, Integration and InterpolationEasy2 marks
Use a trapezoidal sum with the three subintervals indicated by the data in the table to approximate the value of ∫010​R(t)dt. Show the work that leads to your answer.
3(D)Definite Integrals and the Fundamental TheoremEasy3 marks
A teacher also starts reading at time t=0 minutes and continues reading for the next 10 minutes. The rate at which the teacher reads is modeled by the function W defined by W(t)=−103​t2+8t+100, where W(t) is measured in words per minute. Based on the model, how many words has the teacher read by the end of the 10 minutes?
PreviousQuestion 3 of 6Next · Q4