QUESTION

21*1

POINT\ Define

Q

as the region bounded by the functions

u(y)=\\\\sqrt(y)+1

and

v(y)=2

between

y=3

and

y=4

. Choose the\ integral below that describes the volume of the solid created by rotating

Q

around the line

x=1

.\ Select the correct answer below:\

\\\\int_3^4 \\\\pi [(\\\\sqrt(y)+2)^(2)-(3)^(2)]dy\ \\\\int_3^4 \\\\pi [(1)^(2)-(\\\\sqrt(y))^(2)]dy\ \\\\int_3^4 \\\\pi [\\\\sqrt(y)-2]^(2)dy\ \\\\int_4^3 \\\\pi [(\\\\sqrt(y))^(2)-(1)^(2)]dy\ \\\\int_3^4 \\\\pi [(\\\\sqrt(y))^(2)-(1)^(2)]dy

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Define Q as the region bounded by the functions u(y)=y+1 and v(y)=2 between y=3 and y=4. Choose the integral below that describes the volume of the solid created by rotating Q around the line x=1. Select the correct answer below: 34[(y+2)2(3)2]dy34[(1)2(y)2]dy34[y2]2dy43[(y)2(1)2]dy34[(y)2(1)2]dy