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3 years ago

Can someone please help me with these two parts

Mathematics

1 answer:

alex41 [277]3 years ago

3 0

7a) do 400 take 24 to get 376 then divide that by 4
376 ÷ 4 = 94

so you can fit 94 railroad cars

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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

Is x = -7, the solution to -11 + 2x = -26? Justify your answer in complete sentences.

Natali5045456 [20]

First of all, you can move the +2x to the other side:
-11 = -26 - 2x

Then you can move the -26 to the other side and then simplify:
-11+26 = -2x
15 = -2x

Then you can divide both sides by 2:
7.5 = -x

Then you can flip the sides and the signs around:
x = -7.5

No, The answer is not -7, it is -7.5
Hope this helps! :)

4 0

3 years ago

If there wee 160 houses built and 3/8 of them are sold than how many are left

kramer

There would be 60 houses left

4 0

3 years ago

Answer this please :)

Elden [556K]

Answer:

Step-by-step explanation:

Distance formula: D = Square root (x^2-x^1)^2+(y^2-y^1)^2

H(-3,-4) Q(-8,1)

x1 y1. x2 y2

Plug in umbers

(-8+3)^2+(1+4)^2

(-5)^2 + (5)^2

25 + 25

Square root of 50 = 7.07106781187

7.1

Square root was always there I just don't know how to put it on a laptop.

Hope this helps!

8 0

3 years ago

A closed economy has income of $1,000, government spending of $200, taxes of $150, and investment of $250. What is private savin

Salsk061 [2.6K]

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7 0

3 years ago