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Vinil7 [7]
3 years ago
13

1 x)

Mathematics
1 answer:
Kryger [21]3 years ago
5 0
What is Tark
I’m sry I can’t help you

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Find the volume of the solid generated when R​ (shaded region) is revolved about the given line. x=6−3sec y​, x=6​, y= π 3​, and
Dmitrij [34]

Answer:

V=9\pi\sqrt{3}

Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

V=\int\limits^b_a {\pi r^{2}} \, dy

where:

r=6-(6-3 sec(y))

r=3 sec(y)

a=0

b=\frac{\pi}{3}

so the volume becomes:

V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy

This can be simplified to:

V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy

and the integral can be rewritten like this:

V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy

which is a standard integral so we solve it to:

V=9\pi[tan y]\limits^\frac{\pi}{3}_0

so we get:

V=9\pi[tan \frac{\pi}{3} - tan 0]

which yields:

V=9\pi\sqrt{3}]

6 0
4 years ago
(18 divided by 3) to the second exponent
Svet_ta [14]
If we divide 18 by 3, we get 6. we then square 6 and get 36.
4 0
3 years ago
Read 2 more answers
If 4 (log3 1/27)=X what is the value of X
givi [52]
4(log _{3} 1/27) =x
log _{3}  \frac{1}{27}^4  =x

Now remember: b^y=x  \\ equals  \\ log _{b}x=y

3^x =  \frac{1}{27}^4
3^x =  \frac{1}{531441}
log _{3} \frac{1}{531441} =x
\frac{ln\frac{1}{531441}}{ln3} = x
\frac{1}{531441} = 0.000002
you can now enter this into your calculator...

Answer: x = -0.083


7 0
3 years ago
Read 2 more answers
Please help I don’t get it. Can somebody explain this pleaseee
gayaneshka [121]

Answer:

(-6. 3) (-6, 6) (-4, 2)

Step-by-step explanation:

the solution is the dark area between the two lines.

the only trick would be if one of the points fell on the dotted line.

all points on the dotted line are not included but all points on the solid line are included.

7 0
3 years ago
Which is the correct answer?​
Nadya [2.5K]

Answer:

c is the correct answer

5 0
3 years ago
Read 2 more answers
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