AP Calc AB Review for QZ 27-29

What does this picture represent?

• Left Riemann Sum

• Right Riemann Sum

• Midpoint Riemann Sum

• Trapezoidal Sum

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Left Riemann Sum

What does this picture represent?

• Left Riemann Sum

• Right Riemann Sum

• Midpoint Riemann Sum

• Trapezoidal Sum

Tags

Right Riemann Sum

What does picture represent?

• Left Riemann Sum

• Right Riemann Sum

• Midpoint Riemann Sum

• Trapezoidal Sum

Tags

Midpoint Riemann Sum

What is the approximate area under the curve, using 4 intervals and left Riemann sum?

• 20

• 14

• 10

• 8

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Left Riemann Sum

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)

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Left Riemann Sum

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

Right Riemann Sum

If  $\int_3^1f\left(x\right)\ dx\ =-5,\ \int_1^{11}f\left(x\right)\ dx=24$  and  $\int_1^3g\left(x\right)\ dx=7,$  evaluate  $\int_3^{11}f\left(x\right)\ dx$  

•  $-19$  

•  $41$  

•  $-11$  

•  $19$  

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Accumulation Function

Estimate the area bounded by f(x) and the x-axis on [-5,5] using the trapezoidal method with 4 trapezoids.

• 159

• 152.5

• 79.5

• 76.25

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Trapezoidal Sum

Use a left hand Riemann sum with 4 equal intervals to find the approximation of the area between the graph of the function  $f\left(x\right)=\frac{x}{2}+5$  and the x-axis on the interval  $\left[3,\ 7\right].$  

• 58

• 30

• 29

• 28

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Left Riemann Sum

If  $\int_0^{10}f\left(x\right)\ dx=12$  and  $\int_0^7f\left(x\right)\ dx=5$ , find  $\int_7^{10}f\left(x\right)\ dx$ .

• 17

• 7

• -17

• -7

Tags

Accumulation Function