3 2 area of r 4 x2dx 4x 2 3 2 23 23 42 3 4 2 3 13 6

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Elementary Geometry for College Students
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Chapter 9 / Exercise 19
Elementary Geometry for College Students
Alexander/Koeberlein
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3] 2Area ofR=(4 -x2)dx=4x - ~-23-2(23)((-2)3)=4(2) -3 -4(-2)--3-=136_( _136)=332.(B) Sincey=X2is an even function,x=°dividesRinto two regions of equal area.Thus,a=O.(C) See Figure 1TS-17.16AreaR,=AreaR2=-.3y-~-----+-----r_-+y=4--~----+----~-_+y=b----'------"""'-+--"'''''-------:'::----+XoFigure 1TS-17AreaR2=1../b(b -x2)dx-../b= 21../b(b -x2)dx~2[bX-.:~2[b(~) -(~3)l=2(b3/2_b~2)=2 (2~/2)4b3/234b3/216Set --= -:::}b3/2=4orb=42/333(D)Washer MethodV=Jr1:(42-(X2)2)dx=Jr1:(16 -x4)dx=st[16X-~L25:rr
AP CalculusAB PracticeExam 1(395
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Elementary Geometry for College Students
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Chapter 9 / Exercise 19
Elementary Geometry for College Students
Alexander/Koeberlein
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