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worty [1.4K]
3 years ago
8

Which place is the 4 in? 815.604

Mathematics
2 answers:
lilavasa [31]3 years ago
8 0
The thousandths place. After the dot you have tenths, hundredths, and thousandths. 
charle [14.2K]3 years ago
8 0

Answer:

The thousandths place

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Use cylindrical coordinates. find the volume of the solid that is enclosed by the cone z = x2 + y2 and the sphere x2 + y2 + z2 =
sashaice [31]
Let R be the solid. Then the volume is

\displaystyle\iiint_R\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta

which follows from the facts that

\begin{cases}x=r\cos\theta\\y=r\sin\theta\\z=\zeta\end{cases}\implies\mathrm dx\,\mathrm dy\,\mathrm dz=r\,\mathrm dr\,\mathrm d\theta\,\mathrm d\zeta
(by computing the Jacobian)

and

z=x^2+y^2=r^2\implies z+z^2=72\implies z=-9\text{ or }z=8
(we take the positive solution, since it's clear that R lies above the x-y plane)
r^2+z^2=72\implies z=\pm\sqrt{72-r^2}
(again, taking the positive root for the same reason)
z=r^2\implies 8=r^2\implies r=\sqrt8

\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta
=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr
=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}r(\sqrt{72-r^2}-r^2)\,\mathrm dr
=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}(r\sqrt{72-r^2}-r^3)\,\mathrm dr
=\dfrac{32(27\sqrt2-35)\pi}3
7 0
3 years ago
Arcsin(sin(3pi)) ...?
expeople1 [14]
The solution to the problem is as follows:

arc sin (sin 3pi) = theta 
<span>where theta is the angle ur looking for </span>
<span>so that becomes </span>
<span>sin (theta) = sin 3pi </span>
<span>sin (theta) = 0 </span>
<span>theta = 0, pi
</span>
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
6 0
3 years ago
EASY POINTS (attached)
solong [7]
Answer for the first one - it's complicated, but that maths is correct

I kind of cheated and did it a different way than they'd expect. By doing 24 squared, that gives you 576. 

since both angles are 45 degrees, then the sides are equal lengths. Therefore x squared times 2 = 576.

Because of this, x squared = 576 divided by 2, which equals 288.
Therefore the square root of 288 = 12 square root 2
5 0
3 years ago
Read 2 more answers
31231802938102938x1923193819023
Komok [63]

Answer:

6.006481e+28

Step-by-step explanation:

hope it helped

5 0
3 years ago
Read 2 more answers
Write an equation of the ellipse with foci at (0,+12) and vertices at (0,+13)
Musya8 [376]

Answer:

Quadratic relations and comic sections unit test part 1

10. b. x^2/25 + y^2/169 =1

Step-by-step explanation:

7 0
3 years ago
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