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Komok [63]
3 years ago
11

Someone please help!

Mathematics
1 answer:
julia-pushkina [17]3 years ago
4 0

Answer: I think this is it

Step-by-step explanation:

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The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any meth
Lubov Fominskaja [6]

Answer:

\frac{128\pi}{3} cubic units

Step-by-step explanation:

We are given that a region bounded by a curves x=(y-7)^2

x=4 and about y=5

We have to find the value of volume of the resulting solid

To find the volume of resulting solid we are using cylinder method

Substitute the values of x then we get

(y-7)^2=4

y-7=\pm2

y-7=2  and y-7=-2

y=7+2=9 and y=-2+7=5

Radius of cylinder =r=y-5

and height =h=4-(y-7)^2=4-y^2-49+14 y=-y^2+14 y -45

Using cylinder method and integrate along y -axis from y=5 to y=9

Volume =\int_{a}^{b}2\pi r h dy=\int_{5}^{9}2\pi(y-5)(-y^2+14 y -45) dy

volume=2\pi\int_{5}^{9}(-y^3+19y^2-115y+225)dy

Volume =2\pi[-\frac{y^4}{4}+19\frac{y^3}{3}-115\frac{y^2}{2}+225y]^9_5

Volume =2\pi[-\frac{6561}{4}+\frac{625}{4}+19(\frac{729-125}{3})-115(\frac{81-25}{2})+225(9-5)]

Volume=2\pi(-1484+\frac{11476}{3}-3220+900)

Volume =2\pi(\frac{11476}{3}-3804)

Volume =2\pi(\frac{11476-11412}{3})=\frac{128\pi}{3}

Hence, volume of resulting solid =\frac{128\pi}{3} cubic units

3 0
3 years ago
A road rises 50 feet over a horizontal distance of 600 feet. What is the slope of the road?
Hatshy [7]

Answer:

1/12 (or 0.833)

Step-by-step explanation:

Recall that the definition of "slope" is the change in vertical distance divided by the change in the horizontal distance. (aka. rise ÷ run)

it is given that rise = 50 feet and the horizontal distance (i.,e "run") = 600feet

hence slope = rise / run = 50 / 600 = 1/12 (or 0.833)

6 0
3 years ago
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¿qué edificaciones se encuentran en el mundo con el aspecto de una parábola?
Oksana_A [137]

Answer:

Una parábolase obtienecuando se corta un cono de tal maneraque el corte sea paralelo auno de sus lados, como lo muestra la grafica de la Fig. No 10. Una vez que se ha observado a la parábola en la naturaleza, pasemos a estudiarla desde el punto de vista geométrico.

5 0
3 years ago
How many feet are there in 24 yards? <br><br> A. 288<br> B. 8<br> C. 2<br> D. 72
Mkey [24]
First of all we need to know that 1 yard has 3 feet inside of it 
but in order to find 24 yards we would have to multiply by 3 sooo
24 x 3 = 72
so that means there are 72 feet in 24 yards.
In other words the answer is D:)
hope this helps:P
MARK ME BRAINLIEST!


6 0
3 years ago
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Question 5
polet [3.4K]

Answer:

b, c, e

Step-by-step explanation:

Esoeranza's cat weighs 1.3 x (130% of x). You can select all the expressions that equal to 1.3x.

8 0
3 years ago
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