Area Riemann Sums

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

• 176

• 352

• 420

• 488

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

How many divisions/rectangles are shown?

• 3

• 4

• 6

• 7

What type of rectangles are shown?

• left-endpoint rectanlges

• right-endpoint rectangles

• midpoint rectangles

• trapezoids

• the estimate will be too big

• the estimate will be too small

• the estimate will be exactly the same as the actual integral

• 0.25

• 0.5

• 1

• 3

• 0

• 0.5

• 1

• 1.5

• left-endpoint

• right endpoint

• midpoint

• trapezoids