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3 years ago

X+y+z=1 2x+4y+6z=2 -x+3y-5z=11

Mathematics

1 answer:

sleet_krkn [62]3 years ago

4 0

x = 0 y = -x/2+2 z = -x-y+1
hope this helps fam :)

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Answer:

x=3

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5x-2x-4=5

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5(x+3)=25
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3 years ago

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Loris dog eats 3.82 pounds of food in one week. how much food will the dog eat in 18 weeks?

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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

Can someone please help me? I solved all the sides but when I add it up I don't get any of the options :(

aivan3 [116]

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please mark brainliest?? :)

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3 years ago

Determine the GCF 12 and 32 =GCF

nevsk [136]

Answer:

the greatest common factor 12 and 32 is 4

hope it helps!

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3 years ago