Riemann Sums

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

• Overestimate
• Underestimate
• Unable to Determine
• Exact Solution

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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)

Tags

CCSS.HSA.SSE.A.1

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)

Tags

CCSS.HSF.IF.B.4

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

• 14

• 7

• 26

• 11

Tags

CCSS.HSF.IF.B.4

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

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

• 100
• 99
• 150
• 152

• Average Value
• Net Area
• Total Area
• Average Rate of Change

• Distance
• Displacement
• Velocity
• Acceleration

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

• 12

• 9

• 10

• 5

Tags

CCSS.HSG.MG.A.1