Suppose the position of a moving car after t seconds is given by the equation s(t) = t³ − t² + 2 on the interval ≤ t ≤ 4, where s is measured in feet. Determine the acceleration of the object when its velocity is 0 feet per second. [A] ft/s² [B] 0 ft/s² [C] 4 ft/s² [D] 2 ft/s² [E] 1 ft/s²

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A: Given integral:- ∫x2-4x3dx

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A: See this solution in below.

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A: The Laplace transform of a periodic function:Lft=11-e-sT∫0Te-stft ft

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A: We can find the derivative using product rule in the below steps.

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A: Follow the procedure given below.

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Q: please

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Q: Determine R(t) if R'(t) = <2e2+-4,4 =-1) and R (2) R (2) = <3₁-5,0).

A: To determine R→t if R'→t=2e2t-4, 6t2, 1t-1 and R→2=3, -5, 0.

Q: 3. sin² 3xdx

A:

Q: Part C. Find the √√x-5 8). x-15 1 9). +3+ + √x + 10

A: Topic = Function