Mathematics, 28.10.2020 16:50 arod20061
Find the volume of the solid lying under the plane z 2x 5y 1 and above the rectangle x, y 1 x 0 1, .
Answers: 1
units
![V = \int\limits^{4}_{1} [{(\frac{2x^2}{2} + 5xy + x )} ] | \left \ 0} \atop {-1}} \right. \, dy](/tpl/images/0847/5345/ab220.png)
![V = \int\limits^{4}_{1} [{(x^2 + 5xy + x )} ] | \left \ 0} \atop {-1}} \right. \, dy](/tpl/images/0847/5345/e9dc2.png)
![V = \int\limits^{4}_{1} [{((0)^2 + 5(0)y + (0) )} ] -[{((-1)^2 + 5(-1)y + (-1) )} ] \, dy](/tpl/images/0847/5345/17405.png)
![V = 5 [ \frac{y^2}{2} ]|\left \ 4 } \atop { 1 }} \right. \, dy](/tpl/images/0847/5345/0063f.png)
![V = 5( [ \frac{4^2}{2} ] - [ \frac{1^2}{2} ] )](/tpl/images/0847/5345/b5eaf.png)
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Find the volume of the solid lying under the plane z 2x 5y 1 and above the rectangle x, y 1 x 0 1, ....
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