A particle is moving along a horizontal line according to the equation s = 3t2 − t3, t ≥ 0, where s meters is the directed distance of the particle from the origin at t seconds. Give the the equation describing the instantaneous velocity of the particle after t seconds. Identify the intervals on which the particle is moving to the right and moving to the left.

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A: There is no such introduction for the solution.I have explained it within the solution.Please go…

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A: Let's Solve, Answer : Option E

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A: A detailed solution is given below

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Q: Find the length of the curve parameterized by x = 2 + 3t² and y = 3 + 2t³ from t = 0 to t = 3.

A: To find the length of the curve parameterized by x=2+3t2 and y=3+2t3 from t=0 to t=3.

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