Mathematics, 09.12.2020 21:30 bob7220
Find the volume of the region between the cylinder z=3y^2 and the xy-plane that is bounded by the planes x=0,x=1 ,y=-1 and . z = y2 x = 0 x = 1 y = − 1 y =1
Answers: 1
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![V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \Bigg [z \Bigg]^{3y^2}_{0} \ dy \ dx](/tpl/images/0966/3264/4f69c.png)
![V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \Bigg [3y^2 \Bigg] \ dy \ dx](/tpl/images/0966/3264/03710.png)
![V = \int \limits ^{1}_{0} \Bigg [\dfrac{3y^3}{3} \Bigg]^1_{-1} \ dx](/tpl/images/0966/3264/07a64.png)
![V = \int \limits ^{1}_{0} \Bigg [\dfrac{3(1)^3}{3}- \dfrac{3(-1)^3}{3} \Bigg] \ dx](/tpl/images/0966/3264/b9930.png)
![V = \int \limits ^{1}_{0} \Bigg [1-(-1)\Bigg] \ dx](/tpl/images/0966/3264/58c8e.png)
![V =2 \Bigg [x \Bigg] ^1_0](/tpl/images/0966/3264/da14a.png)
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Find the volume of the region between the cylinder z=3y^2 and the xy-plane that is bounded by the pl...
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