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Riemann Sums Quiz

Authored by Angel Butler

Mathematics

9th - 12th Grade

Used 3+ times

Riemann Sums Quiz
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10 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

What does this picture represent?

Left Riemann Sum

Right Riemann Sum

Middle Riemann Sum

Trapezoidal Sum

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

For a function that is strictly decreasing, a right hand Riemann Sum is which of the following:

Overestimate
Underestimate
Exact Solution
Unable to Determine

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

For a function that is strictly increasing, a right hand Riemann Sum is which of the following:

Overestimate
Underestimate
Unable to Determine
Exact Solution

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Based on the table, use a left Riemann sum and 4 sub-intervals to estimate the Area under the curve. (Choose the correct set-up.) 

5(3) + 1(4) + 2(5) + 1(7)
5(4) + 1(5) + 2(7) + 1(6)
5(3) + 6(4) + 8(5) + 9(7)
0(3) + 5(4) + 6(5) + 8(7)

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Based on the table, use a Right Riemann sum and 4 sub-intervals to estimate the Area under the curve. (Choose the correct set-up.)

5(3) + 1(4) + 2(5) + 1(7)

5(4) + 1(5) + 2(7) + 1(6)

5(3) + 6(4) + 8(5) + 9(7)

0(3) + 5(4) + 6(5) + 8(7)

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Use a midpoint Riemann Sum to approximate the area between 0 to 3 with 3 subintervals.

14

7

26

11

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Use 3 trapezoids to determine the approximate area of the shaded area.

12

9

10

5

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