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Lesson: Applying Midpoint Approximation to Find the Area under a Curve

Worksheet: Applying Midpoint Approximation to Find the Area under a Curve • 14 Questions

Q1:

The table shows the values of a function obtained from an experiment. Estimate using three equal subintervals with midpoints.

4 5 6 7 8 9 10
0.1 1.1 1.7

Q2:

The table shows the values of a function obtained from an experiment. Estimate using three equal subintervals with midpoints.

1 5 9 13 17 21 25
0.2 0.9 1.5

Q3:

The table shows the values of a function obtained from an experiment. Estimate using three equal subintervals with midpoints.

1 2 3 4 5 6 7
0.9 2.1 3.1

Q4:

The table shows the values of a function obtained from an experiment. Estimate using three equal subintervals with midpoints.

1 4 7 10 13 16 19
0.4 1.2 2

Q5:

Given and , evaluate the Riemann sum for with six subintervals, taking sample points to be midpoints.

  • A
  • B5
  • C
  • D
  • E7

Q6:

Given and , evaluate the Riemann sum for with six subintervals, taking sample points to be midpoints.

  • A59
  • B
  • C
  • D86
  • E38

Q7:

Let over . Using four subintervals and taking midpoints as sample points, evaluate the Riemann sum of to six decimal places.

Q8:

Let over . Using four subintervals and taking midpoints as sample points, evaluate the Riemann sum of to six decimal places.

Q9:

Estimate using the midpoint rule with , giving your answer to four decimal places.

Q10:

Estimate using the midpoint rule with , giving your answer to four decimal places.

Q11:

Using the Midpoint Rule with , give an estimate of . Give your answer to four decimal places.

Q12:

Using the midpoint rule with , round to four decimal places.

Q13:

Using the midpoint rule with , round to four decimal places.

Q14:

Estimate using the midpoint rule with , giving your answer to four decimal places.

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