Suppose that the value of a yacht in dollars after t years of use is V(t)=250,000e^(−0.22t). What is the average value of the yacht over its first 7 years of use?

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A: A per guidelines,  I can answer maximum three subparts of a question.  However, I did five subparts…

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A: Using double integral we need to find the the volume of the given solid.The given solid is:

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A: given limit is of 00 indeterminate formso, apply the L'Hospital's rule to solve the limit

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A: Using rules of differentiation find first and second derivatives.

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A: ⇒fx=6x3-4x23

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A: as per guidelines we are supposed to do three supports only please repost The Other parts

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A: fx,y=x6y6x6+y6if x,y≠0,00if x,y=0,0 gx,y=6x3y36x6+6y6if x,y≠0,00if x,y=0,0

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A: Firstly we find local maxima or minima . secondly inflection point.

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Q: For the following exercises, find dy for each function.

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Q: 20. Find the sub-normal of the curve y = x^3 at (2,8).

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A: I am attaching an image so that you understand each and every step.

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Q: Find nd √ √ cos (2² + y²)dA where D = {(z,y) | 4 ≤ z² + y² ≤ 49}

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A: The solution is shown in step-2

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Q: a) The rectangles in the graph below illustrate a ? [0, π]. The value of this Riemann sum is -pi/2 5…

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