Test Two. Question 1. Area=. =. =. =. =. =. =2. Hence.

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Test TwoQuestion 1Area=113y2dy11y+1dy113y2dy=(3yy33)¿1¿1113y2dy=83(83)113y2dy=16311y+1dy=(y22+y)¿1¿111y+1dy=32(12)11y+1dy=2Hence16/3-2=10/3Area=10/3Question 2Using Disc Washer MethodA=πr2Volume=x1x2π(y)2dy
Vector of y=(yy)=(14x20)x1=0 and x2=202πx32dx=πx48¿0¿202πx32dx=2π002πx33dx=2πVolume=6.2832Question 3Using the cylindrical shells methodsVolume=x1x22πx(y)dxVolume=012πx(xx3)dx012πx(xx3)dx=2π(x33x55)¿0¿1012πx(xx3)dx=4π150012πx(xx3)dx=4π15Volume=0.8378Question 4Given the following
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