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andriy [413]
3 years ago
8

58 POINTS PLEASE HELP ASAP

Mathematics
1 answer:
Shalnov [3]3 years ago
5 0

Answer:

4)

Step-by-step explanation:

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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
3 years ago
PLS HELP MEEEI NEED ANSWERS ASAP ASAP
Brums [2.3K]

Answer:

Associative.

Step-by-step explanation:

In addition and multiplication, it does not matter which two numbers you put together first. On the left aide 6 is associated with 3. On the right side 3 is grouped with 7.  It doesn't matter where 3 goes. You still get the same answer.

(6 + 3) + 7 = 6 + (3 + 7)

   9    +  7   =  6  + 10

        16  =  16

6 0
3 years ago
What is the first quartile of the following data set?<br> 15, 18, 20, 21, 23, 24, 26, 29, 34, 37, 40
nikklg [1K]

Answer:

20.5

Step-by-step explanation:

20 + 21 = 41.   Divide 41 by 2 than you get 20.5.

3 0
2 years ago
Difference between cylinder and cone
lord [1]
A cylinder has two bases and a height that (unless oblique) runs right along a side, while a cone has one base and whose height begins at the center of its base and goes straight up to the peak.
7 0
3 years ago
The ratio of apples to bananas in a bowl of fruit is 2:5 if there are 49 total pieces of fruit in the bowl how many are apples
Ghella [55]

14 apples because altogether the ratio adds up to 7 and 49/7=7 so we could rewrite the ratio as 2x:5x so x=7.  there for 2x ,the number of apples is 14

7 0
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