Integrals

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The function f is continuous on the closed interval [0,6] and has values given in the table above. The trapezoidal approximation found with 3 subintervals is 52. What is the value of k?

• 2

• 6

• 7

• 10

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CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

A particle moves along an axis so that at any time t>0, its velocity is given by v(t)=4-6t². If the particle is at position p=7 at t=1, what is the position of the particle at t=2?

• -10

• -5

• -3

• 3

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CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

• 6

• ln 25

• 2

• 5+ 2/e

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CCSS.HSF.IF.A.2

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CCSS.HSA.APR.A.1

What is the area of the region enclosed by the graphs of f(x)=x-2x² and g(x)=-5x?

• 7/3

• 16/3

• 20/3

• 9

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CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

The velocity of a particle moving along an axis is given by v(t)=2-t² for t>0, what is the average velocity of the particle from t=1 to t=3?

• -4

• -3

• 8/3

• - 7/3

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CCSS.HSF.IF.B.6

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• 20

• 23

• 35

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CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.B.5