particle moves according to a law of motion  s = f(t),   t ≥ 0,  where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) f(t) = t3 − 9t2 + 24t When is the particle speeding up? (Enter your answer using interval notation.) When is it slowing down? (Enter your answer using interval notation.)

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Q: 9. (a) A region is bounded by two lines and a quadratic polynomial with the following conditions: .…

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A: Please see the below picture for detailed solution.

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Q: 2. All multiple choice must include work or worded explanations. 1 g(x) dx = 5, then [₁8(x) dx = -…

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Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. 64 4…

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Q: Problem 3 d²y(t) — 4 dy(t) + 4y(t) = 2 × e²t dt² With initial conditions y(1) = 3, dy (1) dt = 1

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Q: If position is given by p(t) = -1² + 5t, what is the veloci v(t) at t = 2? ov(2) = 2 ov(2) = -1

A: note :- since  you have asked multiple asked questions but accoeding to bartleby  guidelines i unly…

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Q: If 46 +3ƒ(x) + 5x²(ƒ(x))³ = 0 and ƒ(-1) = −2, find f'(-1). ƒ'(-1) =¯

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