2. A boat is being pulled into a dock by a rope attached to it and passing through a pulley on the deck, positioned 6 meters higher than the boat. If the rope is being pulled in at a rate of 3 meters/sec, how fast is the boat approaching the dock when it is 8 meters from the dock? Make sure your answer includes units.

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A: The detailed solution is given below Thank you

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A: L-11s-a =eat L-1as2+a2=sin(at) and L-1ss2+a2= cos(at).

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A: We will find the function.

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A:

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A: f(x)=10x+4DIfferentiate w.r.t.xf'(x)=ddx(10x+4)Take constant outf'(x)=10ddx(1x+4)f'(x)=10ddx(x+4)-1…

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A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

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A: Given

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A:

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A: As per the company guidelines we can solve first question. I hope that the given solution will help…

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A:

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A:

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A:

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A: Series

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A:

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A: To evaluate: I=∫x2sinh x3dx⇒I=∫sinh x3  x2dx

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A: On solving this we will get:-

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Q: Determine the inverse Laplace transforms of: 2s²-5s-1 (a) (s+3)(s²+9)

A:

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A:

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A: This question is based on vector projection.

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A: Let's find.

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A:

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Q: scientific

A: We will find the 28th term