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PIT_PIT [208]
3 years ago
14

What number has four factors

Mathematics
1 answer:
BARSIC [14]3 years ago
4 0
The answer is three look it up

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Electric charge is distributed over the disk x2 + y2 ≤ 16 so that the charge density at (x, y) is rho(x, y) = 2x + 2y + 2x2 + 2y
professor190 [17]

Answer:

Required total charge is 256\pi coulombs per square meter.

Step-by-step explanation:

Given electric charge is dristributed over the disk,

x^2=y^2\leq 16 so that the charge density at (x,y) is,

\rho (x,y)=2x+2y+2x^2+2y^2

To find total charge on the disk let Q be the total charge and x=r\cos\theta,y=r\sin\theta so that,

Q={\int\int}_Q\rho(x,y) dA                where A is the surface of disk.

=\int_{0}^{2\pi}\int_{0}^{4}(2x+2y+2x^2+2y^2)dA

=\int_{0}^{2\pi}\int_{0}^{4}(2r\cos\theta+2r\sin\theta+2r^2 \cos^{2}\theta+2r^2\sin^2\theta)rdrd\theta

=2\int_{0}^{2\pi}\int_{0}^{4}r^2(\cos\theta+\sin\theta)drd\theta+2\int_{0}^{2\pi}\int_{0}^{4}r^3drd\theta

=\frac{2}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)\Big[r^3\Big]_{0}^{4}d\theta+2\int_{0}^{2\pi}\Big[\frac{r^4}{4}\Big]d\theta

=\frac{128}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)d\theta+128\int_{0}^{2\pi}d\theta

=\frac{128}{3}\Big[\sin\theta-\cos\theta\Big]_{0}^{2\pi}+128\times 2\pi

=\frac{128}{3}\Big[\sin 2\pi-\cos 2\pi-\sin 0+\cos 0\Big]+256\pi

=256\pi

Hence total charge is 256\pi coulombs per square meter.

3 0
3 years ago
3/4ths multiplied by x equals 4 7/8ths what is x
alexandr402 [8]

Answer:

x=13/2

Step-by-step explanation:

3/4x=4 7/8

x= 4 7/8 divided by 3/4

x=13/2

check

3/4*13/2=39/8

=4 7/8

7 0
3 years ago
Can someone please help me with this question?
Charra [1.4K]
So what I would do is first multiply the mean by 4 and that is the total u need, 146.5, to have a mean of 36 and 5/8. Next I add the lengths given, which is 110.625, and then I would subtract it from 146.5 which is 35.875 which is 35 and 7/8. You can also check the answer by finding the mean of the 4 numbers and determining if it comes out to 36 and 5/8. The answer is C. Hope this helps!
4 0
3 years ago
The probability of an event is 0.001. Which of the following best describes the event?
RideAnS [48]
The answer you are looking for is B, there is a small chance of the event occurring. <span />
5 0
3 years ago
Read 2 more answers
What is the volume of the following rectangular prism?
sergij07 [2.7K]

Answer:

33 cubic unit

Step-by-step explanation:

Volume of the prism = base area * height

                                  = 9 * 3 2/3            {Change improper to proper fraction}

                                  = 9*\frac{11}{3}\\\\= 3* 11\\\\= 33 unit^{3}

8 0
3 years ago
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