Define Q as the region bounded by the functions u(y) = y^2 / 3 + 1 and v(y) = 1 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. ∫3 4 π [(2)^2 - ( y^2 / 3 + 2)^2 ] dy ∫3 4 π [( y^2 / 3 ) 2 - (0)^2 ] dy ∫3 4 π [ y^2 / 3 + 1]^2 dy ∫3 4 π [( y^2 / 3 + 2)^2 - (2)^2 ] dy ∫4 3 π [( y^2 / 3 + 2)^2 - (2)^2 ] dy
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Define Q as the region bounded by the functions u(y) = y^2 / 3 + 1 and v(y) = 1 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. ∫3 4 π [(2)^2 - ( y^2 / 3 + 2)^2 ] dy ∫3 4 π [( y^2 / 3 ) 2 - (0)^2 ] dy ∫3 4 π [ y^2 / 3 + 1]^2 dy ∫3 4 π [( y^2 / 3 + 2)^2 - (2)^2 ] dy ∫4 3 π [( y^2 / 3 + 2)^2 - (2)^2 ] dy
![Define Q as the region bounded by the functions u(y) = y^2 / 3 + 1 and v(y) = 1 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. ∫3 4 π [(2)^2 - ( y^2 / 3 + 2)^2 ] dy ∫3 4 π [( y^2 / 3 ) 2 - (0)^2 ] dy ∫3 4 π [ y^2 / 3 + 1]^2 dy ∫3 4 π [( y^2 / 3 + 2)^2 - (2)^2 ] dy ∫4 3 π [( y^2 / 3 + 2)^2 - (2)^2 ] dy](https://www.doubtrix.com/uploads/editor/8220892071MUQKWoUlNW.png)
![Define R as the region bounded by the functions f(x) = √x and g(x) = 1 x between x = 1 and x = 3. Choose the integral below that describes the volume of the solid created by rotating R around the x-axis. ∫1 3 [√x – 1/x ] 2 dx ∫1 3 π [(√x)^2 - ( 1/x )^2 ] dx ∫3 1 π [(√x)^2 - ( 1/x )^2 ] dx ∫1 3 π [( 1/x )^2 - (√x)^2 ] dx ∫1 3 [ 1/x - √x]^2 dx](https://www.doubtrix.com/uploads/editor/7551775336TAwNlPViaM.png)
