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Alex777 [14]
3 years ago
13

Please someone I need help!!

Mathematics
1 answer:
frosja888 [35]3 years ago
4 0

Answer:

Step-by-step explanation:

The answer is 1.3

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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
0.0090 in scientific notation
netineya [11]

Answer: 9 x 10^{-3}

Step-by-step explanation:

4 0
4 years ago
1+1<br><br>Plz give good reasoning why this is an snwer
Dahasolnce [82]

Answer: 1+1 is equal to 2, because adding a singular object to a specified amount of something to the number 1, it will increase by just that. Therefore, if the quantity of something is one, adding the number one to its value will be the number 2.

6 0
3 years ago
Find the solution to the system<br> of equations. Y=1/2x-1 and x=4
oksano4ka [1.4K]

the point where the two lines intersect will be your answer.

from the photo, your x-coordinate will be 4, and your y-coordinate will be 1. that's where the two lines meet, so that's the solution.

the answer will be (4,1).

i hope i helped! good luck.

5 0
1 year ago
Pls help I’ll brainlest and add extra points
Inessa05 [86]

Answer:

11) m<8

12) a<-64

13) f<140

14) t> or equal to 150

15) g<-18

16) y< or equal to -16

17) a> or equal to 16

Step-by-step explanation:

hope this helps

4 0
3 years ago
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