Integral Calculus

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Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.C.8

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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?

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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?

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• ln 25

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• 5+ 2/e

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Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

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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?

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• - 7/3

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• 35

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