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Brums [2.3K]
3 years ago
14

What are the coordinates of point S.

Mathematics
1 answer:
Taya2010 [7]3 years ago
8 0

Answer:

A

Step-by-step explanation:

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What is the value of y for the linear equation, <br> x + x = 2x - 4y +16
fomenos
Isolate the variable by dividing each side by factors that do not contain the variable.
2x=2x-4y+16
2x-16=2x-4y
-4y would have to equal -16
Therefore Y=4
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M=2 , b=-5 what does y equal ?
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Y= mx +b
Y= 2x -5
You have to find what is x
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Find the nth term -2 ,1,4,7
Ira Lisetskai [31]
-2, 1, 4, 7, 10, 13, 16, 19, 22
6 0
3 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 <em>y</em> chosen from the interval [2, 4], a height of <em>x</em> = 2/<em>y</em>, and thickness ∆<em>y</em>. For infinitely many shells, we have ∆<em>y</em> converging to 0, and each super-thin shell contributes an infinitesimal volume of

2<em>π</em> (radius)² (height) = 4<em>πy</em>

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 - <em>x</em> (this is the distance between a given <em>x</em> value in the orange shaded region to the axis of revolution) and a height of 8 - <em>x</em> ³ (and this is the distance between the line <em>y</em> = 8 and the curve <em>y</em> = <em>x</em> ³). Then each shell has a volume of

2<em>π</em> (9 - <em>x</em>)² (8 - <em>x</em> ³) = 2<em>π</em> (648 - 144<em>x</em> + 8<em>x</em> ² - 81<em>x</em> ³ + 18<em>x</em> ⁴ - <em>x</em> 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 is the value of X? <br><br><br> A. 5 <br><br> B. 2.5<br><br> C. 7.5<br><br> D. 10
lawyer [7]

Answer:

12. 5

11.

10

10

15. 7

14. 11

2

=

16

16

18. 3

+

11

17

3

4

co

loo

8

Step-by-step explanation:

12. 5

11.

10

10

15. 7

14. 11

2

6 0
1 year ago
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