I need help with this

Mathematics

2 answers:

stellarik [79]3 years ago

7 0

Answer:

8/5"13

9/6"15

15/13

--28 is the answer write this

Ilya [14]3 years ago

7 0

Answer:

Step-by-step explanation:

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E xex2 + y2 + z2 dv, where e is the portion of the unit ball x2 + y2 + z2 ≤ 1 that lies in the first octant.

Jlenok [28]

$\displaystyle\iiint_{\mathcal E}xe^{x^2+y^2+z^2}\,\mathrm dV$
$=\displaystyle\int_{\varphi=0}^{\varphi=\pi/2}\int_{\theta=0}^{\theta=\pi/2}\int_{\rho=0}^{\rho=1}\rho\cos\theta\sin\varphi e^{\rho^2}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi$
$=\displaystyle\left(\int_{\rho=0}^{\rho=1}\rho^3e^{\rho^2}\,\mathrm d\rho\right)\left(\int_{\theta=0}^{\theta=\pi/2}\cos\theta\,\mathrm d\theta\right)\left(\int_{\varphi=0}^{\varphi=\pi/2}\sin^2\varphi\,\mathrm d\varphi\right)=\frac\pi8$

7 0

3 years ago

Can you explain how it o write an equation for a line that goes through points on a table?

hjlf

Hello! hope this makes sense