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2 years ago

What is the additive inverse of (- 2) ?

Mathematics

1 answer:

Evgesh-ka [11]2 years ago

6 0

Answer:

2 because it holds the same value as -2 and its the additive inverse

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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

Please help with this

gladu [14]

Answer: Y=-3x+5
Explanation:

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2 years ago

Given that circumference of a circle is 44m. Calculate it's area

dimaraw [331]

Answer:

Area=154.062 $m^{2}$

Step-by-step explanation:

As Circumference of a circle is given by;

$C=2\times \pi\times r$

As the circumference is 44m so we can calculate the value of r by using the above formula.

$44=2\times \pi \times r\\\\\frac{44}{2\pi} =r\\\\\implies r=\frac{22}{\pi} =7.003 m$

Now to Calculate the Area of a Circle.

As the area of a circle is,

$Area =\pi \times r^{2}\\ Area=\pi \times (7.003)^{2} \\Area=\pi \times 49.039\\Area=154.062m^{2}$

3 0

1 year ago

PLEASE HELP NOW I NEED HELP

MariettaO [177]

Answer:

4.5

Step-by-step explanation:

If 2/5 is blue, that means 3/5 is white. Now I convert it to a decimal: 0.6. That means 60% of the paint is white, so I can do 7.5*0.6 to find how much white paint was in there. Click thanks and Brainliest if it helped! Have an awesome day :D

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2 years ago

For which of the following compound inequalities is there no solution?

Alexxx [7]

Answer: -4m-10< -22 and -8>22

Step-by-step explanation:

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2 years ago