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2 years ago

What fraction of the year is 3 month? 3/4 ___________________

Mathematics

2 answers:

sattari [20]2 years ago

6 0

Answer:

murch

Step-by-step explanation:

arsen [322]2 years ago

4 0

Answer:

1/4

Step-by-step example:

There are 12 months in a year, by dividing 12 by three we get four. 3 months is 1 fourth of a year.

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A) Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given cur

Leno4ka [110]

(a) See the attached sketch. Each shell will have a radius y chosen from the interval [2, 4], a height of x = 2/y, and thickness ∆y. For infinitely many shells, we have ∆y converging to 0, and each super-thin shell contributes an infinitesimal volume of

2π (radius)² (height) = 4πy

Then the volume of the solid is obtained by integrating over [2, 4]:

$\displaystyle 4\pi \int_2^4 y\,\mathrm dy = 2\pi y^2\bigg|_{y=2}^{y=4} = 2\pi (4^2-2^2) = \boxed{24\pi}$

(b) See the other attached sketch. (The text is a bit cluttered, but hopefully you'll understand what is drawn.) Each shell has a radius 9 - x (this is the distance between a given x value in the orange shaded region to the axis of revolution) and a height of 8 - x ³ (and this is the distance between the line y = 8 and the curve y = x ³). Then each shell has a volume of

2π (9 - x)² (8 - x ³) = 2π (648 - 144x + 8x ² - 81x ³ + 18x ⁴ - x ⁵)

so that the overall volume of the solid would be

$\displaystyle 2\pi \int_0^2 (648-144x+8x^2-81x^3+18x^4-x^5)\,\mathrm dx = \boxed{\frac{24296\pi}{15}}$

I leave the details of integrating to you.

3 0

2 years ago

What’s the answer to this

Murrr4er [49]

Answer:

slope: -1/3

you find the slope by taking one point (0,2) and then finding the change in y over the change in x from it to another point (3,1) :

1-2/(3-0) = -1/3

8 0

2 years ago

Graph the line with slope of 4/3 and goes through the point (1,3) ANSWER THIS FAST!

suter [353]

Answer:

Step-by-step explanation:

y=mx+c

3=4/3*1+c

so c=1.6

line crosses y axis at 1.6

For other values use a table onve you know the equation

5 0

2 years ago

Read 2 more answers

The following cube has a volume of 8000 cm3. Find the length of one side of the cube.

Artemon [7]

Vcube = Ledge^3
8000cm^3 = Ledge^3

use the cube root of each side and you have the measure of an edge in cm.

8000^(1/3) = 20
every edge is 20 cm

20^2 = 400
The area of each face is 400 cm^2.

6 0

2 years ago

What is the area of the triangle below?

wlad13 [49]

The area of a triangle is a+b+c

5 0

2 years ago