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2 years ago

I am having trouble figuring out this problem. I believe the answer is (0,7) but I am not sure.

Mathematics

1 answer:

AleksandrR [38]2 years ago

7 0

It is (0,7).

7(cos(pi/2)+isin(pi/2))

7i which is (0, 7)

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Y=1/6x + 5 what is the answer

kykrilka [37]

X should equal 6y-30

3 0

2 years ago

What is the surface area of this rectangular prism that has 9 ft a width of 5 feet and a height of 7.5ft

daser333 [38]

To get your answer:

9 times 5 times two= 90
9 times 7.5 times two= 135
5 times 7.5 times two= 75

then add all of them together and you will get the surface area
90+135+75=300
you should have an answer of 300 feet²

6 0

2 years ago

Read 2 more answers

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

2 years ago

Kendall is solving this inequality. x/2 + 6 > 42 What should she do first to solve?

Aleonysh [2.5K]

Answer:

see below

Step-by-step explanation:

First, she should subtract 6 from both sides of the inequality. This makes it so that the x terms are on one side and the non-x terms are on the other side so she can then solve for x by multiplying the entire inequality by 2.

3 0

3 years ago

What’s the length of three pieces of pipe if they all equal 72m

MAXImum [283]

Answer:

72 × 3 = 216m

216 m is the combined length

6 0

1 year ago