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Riemann Sum Trapezoid

Authored by Lisa Lee

Mathematics

12th Grade

Riemann Sum Trapezoid
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8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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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)

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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Find the right-hand Riemann Sum, with three sub-intervals indicated by the table.

28

16

34

21

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If an increasing or decreasing function is concave up, a Trapezoidal approximation is which of the following:

Underestimate
Unable to Determine
Overestimate
Exact Solution

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Using 5 subintervals, calculate the distance traveled using a left sum.

360
420
396
390

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Use a trapezoidal sum with four intervals from the table to estimate the integral of 0 to 9 of V(t).
Hint: Since the ΔX\Delta X  is different use the area of a trapezoid formula!

64

67

93

1512\frac{151}{2}  

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

A trapezoidal approximation is done for  f(x)=−x3f\left(x\right)=-x^3  on the interval (1,6). The approximation is an 

underestimate

overestimate

exact answer

Impossible to determine from information given.

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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The table above gives the level of a person's cholesterol at different times during a 10-week treatment period. What is the level over this 10-week period obtained by using a Trapezoidal approximation with the sub-intervals [0,2] [2,6] and [6,10]

1880

1930

1950

1980

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