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2 years ago

Please help i’m crying and throwing up

Mathematics

1 answer:

dsp732 years ago

3 0

Answer:

C. 90

Step-by-step explanation:

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2) Use spherical coordinates to find the integral of f(x,y,z) = z over x^2 + y^2 + z^2 < 4 and x,y,z < 0

777dan777 [17]

1. Denote by $\mathcal D$ the region bounded by the cylinder $x^2+y^2=9$ and the planes $z=0$ and $z=6$ . Converting to cylindrical coordinates involves setting

$\begin{cases}x=r\cos u\\y=r\sin u\\z=v\end{cases}$

and $\mathcal D$ is obtained by varying the parameters over $0\le r\le3$ , $0\le u\le2\pi$ , and $0\le v\le6$ . The volume element is

$\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=r\,\mathrm dr\,\mathrm du\,\mathrm dv$

so the integral becomes

$\displaystyle\iiint_{\mathcal D}xz\,\mathrm dV=\int_{v=0}^{v=6}\int_{u=0}^{u=2\pi}\int_{r=0}^{r=3}r^2v\cos u\,\mathrm dr\,\mathrm du\,\mathrm dv=0$

2. Now let $\mathcal D$ denote the region bounded by the sphere $x^2+y^2+z^2=4$ and the coordinate planes in the octant in which each coordinate of the point $(x,y,z)$ is negative.

Converting to spherical coordinates, we set

$\begin{cases}x=\rho\cos u\sin v\\y=\rho\sin u\sin v\\z=\rho\cos v\end{cases}$

where we obtain $\mathcal D$ by varying over $0\le\rho\le2$ , $\pi\le u\le\dfrac{3\pi}2$ , and $\dfrac\pi2\le v\le\pi$ . The volume element is now

$\mathrm dV=\rho^2\sin v\,\mathrm d\rho\,\mathrm du\,\mathrm dv$

so the integral becomes

$\displaystyle\iiint_{\mathcal D}z\,\mathrm dV=\int_{v=\pi/2}^{v=\pi}\int_{u=\pi}^{u=3\pi/2}\int_{\rho=0}^{\rho=2}\rho^3\cos v\sin v\,\mathrm d\rho\,\mathrm du\,\mathrm dv=-\pi$

8 0

3 years ago

Maria is purchasing a sweater marked 40% off. The original price of the sweater is $60. The sales tax is 6%, what is the total a

GalinKa [24]

40% off means she is paying 60% of the original price:

60 x 0.60 = 36.00

The sale price is $36

Now add the tax:

36 x 1.06 = 38.16

She pays $38.16 total

6 0

3 years ago

Which statement are true about angles

guapka [62]

Answer:

In geometry and trigonometry, a right angle is an angle of exactly 90° (degrees), corresponding to a quarter turn. If a ray is placed so that its endpoint is on a line and the adjacent angles are equal, then they are right angles.

The acute angle is the small angle which is less than 90°. If you choose the larger angle you. will have a Reflex Angle instead: The smaller angle is an Acute Angle, but the larger angle is a Reflex Angle.

In geometry, there are five types of angles. An obtuse angle is greater than 90 degrees but less than 180 degrees. An acute angle is less than 90 degrees, A right angle is exactly 90 degrees. A straight angle is exactly 180 degrees, and a reflex angle is greater than 180 degrees.

6 0

3 years ago

The area of a rectangular garden is 48.2 square yards. Determine the length of the lawn, if its width measures 4 yards.

Tema [17]

Answer: l=12.05

Step-by-step explanation:

width = 4 yd

Area= 48.2 yd^2

* Therefore the answer is l=12.05.

* Hopefully this helps:) Mark me the brainliest:)

3 0

2 years ago

Treena flew home to visit her family for

devlian [24]

x + y = 71.5

x = 47.8

y = 71.5 - 47.8

71.5 - 47.8 = 23.7

y = 23.7 pounds

7 0

2 years ago