Find the volume generated by revolving about the x-axis, the area bounded by the line 2x + 4y = 4, and the x and y axes.

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A: Here, R→(t)=t2,1-t2,t, r(t)=cos t So, F→(t)=R→∘r(t)⇒F→(t)=R→(cos t)⇒F→(t)=cos2t,1-cos2t,cos…

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A: answer is in next step.    please give a like !!!!

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A: a.

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Q: Using Rationalizing Substitution S- O In(y) + C O Arctan(y) + C O2Arctan(y) + C O2ln(y) + C dx…

A: ∫dxxx-1Substitute y=x-1→dydx=12x-1→dx=2x-1dy=2∫1y2+1dy

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Q: TYPEWRITTEN

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A: Given:-f(x)=3+3x-3x2 ; 0, 3f'(x)=3-6xfor critical pointsf'(x)=03-6x=06x=3x=36=12second derivative…

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Q: 0# 7' 7P VE 1-₂72 +67

A: topic - indefinite integral

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A: Follow the procedure given below.

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Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

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A: Given ,  A donut shop makes donuts that serve 1 person each. For a party the baker is asked to make…