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Anastaziya [24]
3 years ago
10

Find the volume of the solid of revolution formed by rotating about the x--axis the region bounded by the given curves.

Mathematics
1 answer:
amm18123 years ago
3 0

Answer:

V = \frac{8\pi}{3}

Step-by-step explanation:

For this case we are interested on the region shaded on the figure attached.

And we can find the volume with the method of rings.

The area on this case is given by:

A(x) = \pi [f(x)]^2 = \pi r^2 = \pi [3x]^2 = 9\pi x^2

And the volume is given by the following formula:

V= \int_{a}^b A(x) dx

For our case our limits are x=0 and x=2 so we have this:

V = \pi \int_{0}^{2} x^2 dx

And if we solve the integral we got this:

V= \pi [\frac{x^3}{3}]\Big|_0^{2}

And after evaluate we got this:

V=\pi [(\frac{8}{3} )-(\frac{0}{3} )]

V = \frac{8\pi}{3}

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A store has a 2 5 % 25% off sale on coats. With this discount, the price of one coat is $ 3 4 . 5 0 $34.50. What is the original
valentinak56 [21]

Answer:

The original price of the coat is $46

Step-by-step explanation:

In order to find this, we need to start with the cost after the discount. We can then divide this by the amount in percentage that we paid. Since it is 25% off, we paid 75%.

$34.50/75% = $46

3 0
3 years ago
Find the perimeter of the image bellow: A:32.1 units B: 35.8 units C: 37.6 units D: 39.2 units
masha68 [24]
A is the closest I got. My answer was 32.665 using thousandth place. I found the perimeter by adding up the lengths. I found all of the lengths by using pathat oran theorem.
7 0
3 years ago
Symplify by combining like terms:-17+2x+4x+5
k0ka [10]
6x-12
Combine 2x and 4x = 6x
Combine -17 and 5 = -12
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3 years ago
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Tickets to a school basketball game cost $4 for students and $7 for adults. At the end of the night, 168 tickets are sold for a
stepan [7]
4s+7a=861
s+a=168

This can be solved using either elimination or substitution. I am going to use substitution.

Solve s+a=168 for s
s=168-a

Replace 168-a for s in 4s+7a=861
4(168-a)+7a=861
672-4a+7a=861

Solve for a
672+3a=861
3a=189
a=63

Substitute 63 for a in s=168-a
s=168-63=105

So, s=105 student tickets and a=63 adult tickets
3 0
3 years ago
(7x10*5)x(3x10*2) in standerd form
marishachu [46]

Answer:

21,000

Step-by-step explanation:

This is more of straightforward multiplication, so I cannot explain much! If you want me to try to do more, then just comment.

(7 * 10 * 5) * (3 * 10 * 2)

= (70 * 5) * (30 * 2)

= (350) * (60)

= 21,000

Thusly, in standard form, the equation given is \boxed{21,000}.

Hope this helps! (:

7 0
3 years ago
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