acceleration, in ft/sec2, of a truck at time t seconds is given by a(t) = 6 – 1.5t. The net change in the velocity of the truck between t = 0 and t = 12 secon

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Q: Find the antiderivative of the given derivative. ds = 5t(212 – 1)3 dt

A: Solution:-  given that  dsdt=5t(2t2-1)3 now  using identity (a-b)3=a3-b3-3ab(a-b)

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A: NOTE: Refresh your page if you can't see any equations. . take derivative

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A: Given: ft=-2t

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Q: A moving object has a constant acceleration of -9.8 meters per square second. If its initial…

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A: Given data:The rate of change of the volume V(t) of blood in the aorta at time t is given by…

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A:

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A: st=t4-18t2 Substitute 0 for s(t) into above position function. st=0t4-18t2=0t2t2-18=0t=0 or t2=18t=0…

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A: Given: Let r(t) be the rate at which the world’s oil is consumed,where is measured in years starting…

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Q: Find the net change in velocity over [1, 4] of an object with a(t) =8t - t2 mls2 .

A: Given, Acceleration is, a(t)=8t-t2 ,ms2

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A: Find instantaneous rate of change

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A: To find: The instantaneous velocity at any point in time. Given: The height of an object is .…

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A: Find your answer below

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Q: The velocity function of a particle moving along a horizontal line is given by v(t) = ln 2 · 23t,…

A: The Velocity function of the particle moving along a horizontal line is given by v(t)=ln2·23t…

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Q: 3. If f (t) = -t² + 5t + 3, describes the distance that a ball has traveled in meters, what is the…

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Q: A particle moving in a straight line is at a distance of s(t) = 1.lt³ + 13t feet from its starting…

A: The solution is given in next step

Q: If a ball is thrown in the air with a velocity 50 ft/s, its height in feet t seconds later is given…

A: If a ball is thrown into the air with a velocity of 50 ft/s, its height in feet t seconds later is…

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Q: Find a formula for the average rate of change of f (x) = x^3 over [2, x] and use it to estimate the…

A: We use the average rate of change formula

Q: Find the third derivative of f (z) = T2x +I. fll! (z) =

A: Explanation of the answer is as follows