6.1-6.2 Riemann Sums and Tables

Use a right Riemann Sum to approximate the area of the shaded area.

• 12

• 9

• 10

• 5

A Riemann Sum uses rectangles to

• approximate the area under a curve. The more rectangles, the better the approximation.

• approximate the area under a curve. The less rectangles, the better the approximation.

• approximate the area under a curve. The more rectangles, the worse the approximation.

What statement best describes the Riemann Sum?

• 4 intervals, with heights using middle values

• 4 intervals, with heights using left values

• 5 intervals, with heights using middle values

• 5 intervals, with heights using right values

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)

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

• 28

• 16

• 34

• 21

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

• Overestimate

• Underestimate

• Exact Solution

• Unable to Determine

What does this picture represent?

• Left Riemann Sum

• Right Riemann Sum

• Middle Riemann Sum

• Trapezoidal Sum

Use 3 trapezoids to determine the approximate area of the shaded area.

• 12

• 9

• 10

• 5

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

• Underestimate

• Unable to Determine

• Overestimate

• Exact Solution

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

• 360
• 420
• 396
• 390

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6