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3 years ago

Help me pleaseeeeeeeeeeeee

Mathematics

1 answer:

marta [7]3 years ago

7 0

Answer:

55,30

Step-by-step explanation:

just did it

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Use cylindrical coordinates. find the volume of the solid that lies within both the cylinder x2 y2 = 9 and the sphere x2 y2 z2 =

marissa [1.9K]

In Cartesian coordinates, the region is given by $-3\le x\le3$ , $-\sqrt{9-x^2}\le y\le\sqrt{9-x^2}$ , and $-\sqrt{16-x^2-y^2}\le z\le\sqrt{16-x^2-y^2}$ . Converting to cylindrical coordinates, using

$\begin{cases}\mathbf x(r,\theta,\zeta)=r\cos\theta\\\mathbf y(r,\theta,\zeta)=r\sin\theta\\\mathbf z(r,\theta,\zeta)=\zeta\end{cases}$

we get a Jacobian determinant of $r$ , and the region is given in cylindrical coordinates by $0\le\theta\le2\pi$ , $0\le r\le3$ , and $-\sqrt{16-r^2}\le z\le\sqrt{16-r^2}$ .

The volume is then

$\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=3}\int_{z=-\sqrt{16-r^2}}^{z=\sqrt{16-r^2}}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta=\dfrac{4(64-7\sqrt7)\pi}3$

6 0

2 years ago

3. In a circular park with a radius of 250 m there are 7 lamps whose bases are circles with

____ [38]

Answer:

Area of the lawn = 62493π m^2

Step-by-step explanation:

6 0

3 years ago

Help? i mark brainlist :)

Nina [5.8K]

Answer:

There are 25 students in the class.

Step-by-step explanation:

In order to find the number of students in the class, you can add the number of data points together. Because the name of each person will only be recorded once and only to one data value, that means by adding the total number of data points collected, you can find out the number of students in the sixth-grade class. There are three data points on 3, two data points on 4, five data points on 5, eight data points on 6, two data points on 7, one data point on 8, and four data points on 9, this means the total number of students will be 3 + 2 + 5 + 8 + 2 + 1 + 4 = 25 students, so this will be your answer.

7 0

3 years ago

1/3 + 1/2 + 1 2/3 - 4/5

mash [69]

17/10
or 1 7/10
i did it on my calculator lol

3 0

3 years ago

When babies are born, their lengths are recorded. Maddy is 18 1/2 inches. Her twin Alex, is 20 3/4 inches. How much longer is Ma

Furkat [3]

Answer:

Alex is 2 1/4 inches longer than Maddy

Step-by-step explanation:

Alex is longer than Maddy

20 3/4 - 18 1/2

Get a common denominator

20 3/4 - 18 2/4

2 1/4

Alex is 2 1/4 inches longer than Maddy

Maddy is -2 1/4 inches longer than Alex

7 0

2 years ago

Read 2 more answers