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  1. AP Calculus
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Integration and Accumulation of Change

Question 1
college-boardCalculus AB/BCAPExam Style
1 mark

What type of Riemann sum uses the left endpoints of subintervals to approximate the area under a curve?

Question 2
college-boardCalculus AB/BCAPExam Style
1 mark

Qual condição deve ser cumprida para aplicar uma soma de ponto médio em vez da soma de ponto final ao aproximar uma área sob uma curva?

Question 3
college-boardCalculus AB/BCAPExam Style
1 mark

How does the choice of endpoint used in a Riemann sum affect the precision of the estimate, given a continuously differentiable increasing function, especially compared to trapezoidal estimation?

Question 4
college-boardCalculus AB/BCAPExam Style
1 mark

Which approximation method averages the left and right endpoint values to determine rectangle heights?

Question 5
college-boardCalculus AB/BCAPExam Style
1 mark

If a student uses a left endpoint Riemann sum to find the area under the graph for y=xy=xy=x on the interval [0,4], what sum will they get if the divisions used are equally spaced?

Question 6
college-boardCalculus AB/BCAPExam Style
1 mark

Which of the following is NOT a type of Riemann Sum?

Question 7
college-boardCalculus AB/BCAPExam Style
1 mark

Which type of problem would most likely be solved effectively by employing a midpoint rule approximation?

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Question 8
college-boardCalculus AB/BCAPExam Style
1 mark

Which of the following describes the true value of the area under a curve?

Question 9
college-boardCalculus AB/BCAPExam Style
1 mark

The estimate obtained from a trapezoidal Riemann Sum will be closer to the true value of the integral compared to which other types of Riemann Sums?

Question 10
college-boardCalculus AB/BCAPExam Style
1 mark

What is necessary to use when applying a midpoint Riemann sum in order to find an approximation for the area under f(x)f(x)f(x) over [1,5] split into two intervals?