2 years ago

3ab+2 x -a =2c a=2 b=3 c=7 True or False

Mathematics

1 answer:

ollegr [7]2 years ago

8 0

Answer:

Step-by-step explanation:

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Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder x2+y2=81 and bounded above by the plane z=x and

Natali5045456 [20]

In cylindrical coordinates, the volume is given with

$\displaystyle\int_{\theta=-\pi/2}^{\theta=\pi/2}\int_{r=0}^{r=9}\int_{z=0}^{z=r\cos\theta}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle\int_{\theta=-\pi/2}^{\theta=\pi/2}\int_{r=0}^{r=9}r^2\cos\theta\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle\left(\int_{\theta=-\pi/2}^{\theta=\pi/2}\cos\theta\,\mathrm d\theta\right)\left(\int_{r=0}^{r=9}r^2\,\mathrm dr\right)$
$=486$