4. 3 + 5 + 7 + · · · + (2n + 1) = n(n + 2) ...

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A: Suppose that the revenue in selling x tables is equal to 200x-0.25x2 dollars, and producing a table…

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A: Question is solved step by step.

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A: l

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A:

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A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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A: Given problem:- Find the Cartesian coordinates of the given point.   (8,0)

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A:

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A: Given dydx=limh→0(x+h)2-x2hWe know that the limit derivative formula is f'(x)=limh→0f(x+h)-f(x)h

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A:

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A: A sequence <an> is converges if limn→∞ an is finite and exists.

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A:

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A: Here we have to verify the Green's theorem.

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A: Solution of given question is written in below steps.

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A: Given, x²-y+1=0 I.e, x= sqrt(y-1)----- equation 1 x-y+1=0 I.e, x= y-1 ----equation 2

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A:

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A: Centroid is x¯,y¯ , where, x¯ = 1A∫ab xfx-gx dx  and y¯ = 1A∫ab 12 fx2-gx2 dxand A = ∫ab f(x)-g(x)…

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A:

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A: Solution of given question is written in below steps.

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A: here is the solution:

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A: