Find the volume generated by revolving the area bounded by x? + 4x + 4y + 8 = 0 and y = -2 about the line y = -2.

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A: solution:-f(x)=x-32for x≥3, f(x)≥0y=f(x)=x-32y=x-3x=y+3hencef-1(y)=y+3,  y≥0  

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A: answer of given question is in step 2

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Q: Evaluate: ,(3y + 8y*-9y?)dy + 8y* – 9y?)dy 4

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is ...

Q: Find the volumes of the solids generated by revolving the region between y= 4x and y = about a) the ...

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A: Here we need to solve the given integral .  

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Q: nd the area of the region bounded by y = –x² – 4x – 2 and y = 2x² + 8x + 7.

A: To find out the area of the region bounded by the curves. 

Q: Evaluate: ,(3y6 – 8y* + 9y?)dy

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Q: Evaluate f'(-2) if f(x) = x* – 5+ x-2 + 4x-4.

A: The detailed solution is given below Thank you 

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Q: Evaluate: ,(3y – 8y* + 9y²)dy | -2

A: let I = ∫-223y6-8y4+9y2dywe know that ∫-aaf(t)dt = 2∫0af(t)dt

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