ap calculus AB multiple choice questions with riemann sums

The context may be something growing (changing over time) or linear motion.

These questions are usually presented in context and answers should be in that context.

(See 2007 AB 3 – four simple parts that could be multiple-choice questions the mean on this question was 0.96 out of a possible nine points.)

Average value, average rate of change, Rolle’s theorem, the Mean Value Theorem, and the Intermediate Value Theorem.

The Trapezoidal Rule, per se, is not required it is expected that students will add the areas of a small number of trapezoids without reference to a formula.

Use a left-, right-, or midpoint- Riemann sums or a trapezoidal approximation to approximate the value of a definite integral using values in the table (typically with uneven subintervals).

Show the quotient even if you can do the arithmetic in your head and even if the denominator is 1. This amounts to finding the slope or rate of change. Use the two values closest to the number at which you are approximating. Approximate the derivative using a difference quotient.Find the average rate of change over an interval.This question often includes an equation in a latter part of the problem that refers to the same situation. Numbers and working with numbers are part of the Rule of Four and table problems are one way they are tested. Information given in tables may be used to test a variety of ideas in calculus including analysis of functions, accumulation, theory and theorems, and position-velocity-acceleration, among others. AP Questions Type 5: Riemann Sum & Table Problems

Ap calculus AB multiple choice questions with riemann sums