Refer to the figure and find the volume V generated by rotating the given region about the specified line. a = 5 b=2 V = about OA C(0,a) O y= a√x R₂ R₂ R₁ y=ax B(1,a) A(1,0) X

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A: Given information (a):-   ∑i=1n f(x1),     (b):-  ∑i=1n f(xi), (c):- ∑i=0n xi ,           (d):-…

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A:

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A:

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A: Given:        fx,y=arctanyx , 2,-2     fxx,y=∂∂xarctanyx                   =1yx2+1∂∂xyx taking y as…

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A:

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A:

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A: We can find the required answers using the given right triangle in the below steps.

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A: To prove that y is solution of a differential equation then we just substitute the value of y' and…

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A:

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A:

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A: Topic = Integration

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A:

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A:

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A: Limit

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

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A: