Riemann Sums

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

• Overestimate
• Underestimate
• Exact Solution
• Unable to Determine

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

• Overestimate
• Underestimate
• Unable to Determine
• Exact Solution

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)

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)

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

• 14

• 7

• 26

• 11

Find the area under the curve y =3x²-2x from x= 1 to x =5.

(Calculator allowed)

• 100

• 99

• 150

• 152

Based on the table, use a trapezoidal sum of 4 sub-intervals to estimate the area under the curve.

(calculator allowed for arithmetic)

• 32.5

• 40.5

• 78

• 160

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

• 28

• 16

• 34

• 23

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

• 28

• 16

• 34

• 23

Use a trapezoidal sum with four intervals from the table to estimate the integral of 0 to 9 of V(t).

• 64

• 67

• 93

• 151/2