Mathematics, 28.10.2020 17:00 bradleycawley02
Find the volume of the region bounded by z=12−y, z=y, y=x2, and y=6−x2. (Use symbolic notation and fractions where needed.)
Answers: 1
![V = \int \int_R [(12 -y) -y] \ dy. dx](/tpl/images/0847/6355/f0cf1.png)
![V = \int^2_{-2}[ (12y-y^2]^{6-x^2}_{x^2} \ dx](/tpl/images/0847/6355/3c803.png)
![V = \int^2_{-2} \begin {bmatrix}{ 12 [6-x^2-x^2] - [(6-x^2)^2-(x^2)^2] \end {bmatrix} \ dx](/tpl/images/0847/6355/9e354.png)
![V = \int^2_{-2} \begin {bmatrix}{ 12 [6-2x^2] - [36-12x^2]] \end {bmatrix} \ dx](/tpl/images/0847/6355/667af.png)
![V = \int^2_{-2} [36-12x ^2] \ dx](/tpl/images/0847/6355/d52cf.png)
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Find the volume of the region bounded by z=12−y, z=y, y=x2, and y=6−x2. (Use symbolic notation and f...
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