2. A rocket is fired vertically upward, and it is s feet above the ground t seconds after being fired, where s(t) = -16f + 560t. How high does the rocket reach before falling back to the ground?

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A: Given:

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A:

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A: We need to find highest point rocket will reach.

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Q: B. ty" – (t+ 1)y' + y = t?

A: Answer is mentioned below

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A:

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A: Given, function is

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A: The given equation is,

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A:

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Q: velocity

A:

Q: Farmer Lindsey estimates that after t days, her crop will be increasing at a rate of r(t)  =  15t8 +…

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A:

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Q: Solve the problem. 31) If a ball is thrown upward at 64 feet per second from the top of a building…

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Q: .3 t +y3

A: Derivative is below

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Q: dx =+c 6. 2.

A: We can solve the given problem as follows:

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Q: 02. Solve the DE. y" = x2sinx 2. by using variation of parameters method.

A: Given: y''' = x2sinx.

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A: A function f(x) is said to be differentiable at x=a where a∈m, n,if: limh→0fa+h-fah A function f is…

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A: Given that, an object is dropped from 182 foot high building. It’s position is given by,