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Ulleksa [173]
3 years ago
15

Please help me solve my problem!!!

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
7 0

Answer:

The answer to this problem is True.

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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
Select all the correct answers.
amid [387]

Answer:

It costs $15 a month to play the video game.

The initial cost is $45.

The y-variable represents the cost in dollars.

The x-variable represents the number of months.

Step-by-step explanation:

If you break the function down, you're going to have:

<u>Total = Monthly Cost + Initial Cost</u>

In this case, 15x is your monthly cost, as you can think of x as the number of months meaning:

  • 15 for the first month (x = 1)
  • 30 for the second month (x = 2)
  • 45 for the third month (x = 3), and so on

Our initial cost is always going to be a set amount, thus our constant, $45.

This leaves y as our total, which makes sense, as it's all alone on one side of the equation, where as all the costs are bunched together on the right side.

Hope this helps!

6 0
3 years ago
Read 2 more answers
What is each number in scientific notation?<br> 0.00000000005<br> show how you got your answer
Inessa [10]
NAMASTE :)

0.00000000005

= 5 × {10}^{ - 11}

Count the Digits after decimal.
We use minus (-) in power as the digit is in left side of decimal

If they are in right side then we use (+) plus sign in power.
6 0
3 years ago
You took out a loan for $15,000 for 3 years with an interest rate of 3.5%. Including interest, how much will you pay total?
Alexandra [31]

Answer:

16,575

Step-by-step explanation:

3.5% of 15,000 is 525$

525 x 3 = 1575$

15,000 + 1575 = 16,575

5 0
3 years ago
I need the answer fast pls
Ber [7]
I think the answer is 6.6
5 0
3 years ago
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