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Ksenya-84 [330]
2 years ago
12

Need help asap

Mathematics
1 answer:
sergeinik [125]2 years ago
4 0

GTA LITE V2 BY WITLOPPELZGAMING

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How do you do this question?
Ksivusya [100]

Answer:

V = (About) 22.2, Graph = First graph/Graph in the attachment

Step-by-step explanation:

Remember that in all these cases, we have a specified method to use, the washer method, disk method, and the cylindrical shell method. Keep in mind that the washer and disk method are one in the same, but I feel that the disk method is better as it avoids splitting the integral into two, and rewriting the curves. Here we will go with the disk method.

\mathrm{V\:=\:\pi \int _a^b\left(r\right)^2dy\:},\\\mathrm{V\:=\:\int _1^3\:\pi \left[\left(1+\frac{2}{y}\right)^2-1\right]dy}

The plus 1 in '1 + 2/x' is shifting this graph up from where it is rotating, but the negative 1 is subtracting the area between the y-axis and the shaded region, so that when it's flipped around, it becomes a washer.

V\:=\:\int _1^3\:\pi \left[\left(1+\frac{2}{y}\right)^2-1\right]dy,\\\\\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx\\=\pi \cdot \int _1^3\left(1+\frac{2}{y}\right)^2-1dy\\\\\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\= \pi \left(\int _1^3\left(1+\frac{2}{y}\right)^2dy-\int _1^31dy\right)\\\\

\int _1^3\left(1+\frac{2}{y}\right)^2dy=4\ln \left(3\right)+\frac{14}{3}, \int _1^31dy=2\\\\=> \pi \left(4\ln \left(3\right)+\frac{14}{3}-2\right)\\=> \pi \left(4\ln \left(3\right)+\frac{8}{3}\right)

Our exact solution will be V = π(4In(3) + 8/3). In decimal form it will be about 22.2 however. Try both solution if you like, but it would be better to use 22.2. Your graph will just be a plot under the curve y = 2/x, the first graph.

5 0
3 years ago
What does the 49 days until Fourth of July there are seven days in a week and how many weeks will it be Fourth of July
andrey2020 [161]

Answer:

It will be Fourth of July in 7 weeks.

Step-by-step explanation:

Since you know that there are seven days in a week, you can use a rule of three to find the amount of weeks in 49 days that is the number of days until Fourth of July:

 7 days    →    1 week

49 days    →        x

x=(49*1)/7

x=7

According to this, the answer is that it will be Fourth of July in 7 weeks.

6 0
3 years ago
For a sample size of 90 and a sample proportion of 0.5, what is the standard error? round your answer to three decimal places.
Jlenok [28]
I think the answer is A
8 0
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Kiran is spending $12 on games and rides at another carnival where a game cost $0.25 and ride costs $1
Delvig [45]

Answer:

10.75

Step-by-step explanation:

8 0
2 years ago
I WILL GIVE BRAINLIEST PLZZ HELP!!!!!!!!!
klasskru [66]

Answer:

D half a barrel an hour

Step-by-step explanation:

hope it helps

5 0
2 years ago
Read 2 more answers
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