Mathematics, 20.11.2020 16:50 jadak2020
Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the coordinate planes and the plane 2x + y + z = 2
Answers: 2
![V = \int^1_0 \bigg [2\times y -2x\times y - \dfrac{y^2}{2} \bigg]^{2-2x}_{0} \ dx \](/tpl/images/0917/3796/f3fc3.png)
![V = \int^1_0 \bigg [2\times (2-2x) -2x\times (2-2x) - \dfrac{(2-2x)^2}{2} \bigg]\ dx](/tpl/images/0917/3796/768f4.png)
![V = \int^1_0 \bigg [2x^2-4x+2 \bigg]\ dx](/tpl/images/0917/3796/ef342.png)
![V = \bigg [2\dfrac{x^3}{3}-\dfrac{4x^2}{2}+2 x\bigg]^1_0](/tpl/images/0917/3796/8fef8.png)
![V = \bigg [2\dfrac{(1)^3}{3}-\dfrac{4(1)^2}{2}+2 (1)-0\bigg]](/tpl/images/0917/3796/6c18d.png)
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Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the coordin...
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