Exam Preview: Riemann Sums, Average Value, Area

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

• Overestimate
• Underestimate
• Exact Solution
• Unable to Determine

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

• Underestimate
• Unable to Determine
• Overestimate
• Exact Solution

Based on the table, use a left Riemann sum with sub-intervals given by the table to estimate the area under the curve. (Choose the correct set-up.)

• 0(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)

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

• 23

• 15

• 34

• 21

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

• 155/2

• 128/2

• 186/2

• 151/2

A midpoint approximation will be the average of the left and right hand Riemann Sums.

• Always
• Sometimes
• Never
• Click here to get this question wrong

• A

• B

• C

• D

• E

• A

• B

• C

• D

• E

• A

• B

• C

• D

• E

Hint: Look at a graph!

• A

• B

• C

• D

• E