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Mathematics

1 answer:

lukranit [14]2 years ago

4 0

Answer:

Step-by-step explanation:

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Pls help me

aivan3 [116]

The and answer is going to be 3 because when you multiply 5 and 3 you get 15

3 0

2 years ago

Write the standard form of the line that contains a slope of 2/3 and passes through the point (1, 1). Include your work in your

Aneli [31]

In this item, we are given with the slope, m = 2/3 and intercept of (1,1). The equation of the line that contains these properties is,

y - y₁ = m(x - x₁)

Substituting the known values,

y - 1 = (2/3)(x - 1)

Simplifying,

3y - 3 = 2x - 2

Further simplifying,

 2x - 3y = -1

5 0

3 years ago

PLEASE HELP!!!

Pavel [41]

The answer would be sas or conguernt angle

7 0

2 years ago

A factory found that 6 out of 200 cars have bad brakes. The factory

Vilka [71]

Answer = (A) about 30

1000/200 = 5

5 x 6 = 30

8 0

2 years ago

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