ind the centroid of the volume formed by revolving about the x- axis the area bounded in the first quadrant between the parabolas a? - 2py = 0 and 4py - p - a? = 0.

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A: Since you have posted multipart questions i can do first three subparts as per our company guideline...

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

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A: We can find the integration as below

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A: Let's find. 

Q: Activity 3: Find and simply the result, if possible. 1 a. y = vx - b. y = x? + n + x" C. y = x² secx...

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A: Use property of inequality and solve for x value.