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Ann [662]
3 years ago
10

Help me with this tooo! It is the question that is not filled in

Mathematics
1 answer:
Kazeer [188]3 years ago
3 0

you will have 8 tables so

72 chair / 8 tables = 9 chair per table

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Integrate ​G(x,y,z)equalsz over the parabolic cylinder yequalszsquared​, 0less than or equalsxless than or equals2​, 0less than
yKpoI14uk [10]

I gather you're supposed to compute the integral of G(x,y,z)=z over a surface S that is the part of the parabolic cylinder y=z^2 with 0\le x\le2 and 0\le z\le\frac{\sqrt{15}}2.

We can parameterize S by

\vec s(x,z)=x\,\vec\imath+z^2\,\vec\jmath+z\,\vec k

with the given constraints on x and z. Take the normal vector to S to be

\vec s_x\times\vec s_z=-\vec\jmath+2z\,\vec k

so that the surface element is

\mathrm dS=\|\vec s_x\times\vec s_z\|\,\mathrm dx\,\mathrm dz=\sqrt{1+4z^2}\,\mathrm dx\,\mathrm dz

Then in the integral, we have

\displaystyle\iint_Sz\,\mathrm dS=\int_0^2\int_0^{\sqrt{15}/2}z\sqrt{1+4z^2}\,\mathrm dz\,\mathrm dx=\boxed{\frac{21}2}

5 0
3 years ago
Convert the polar representation of this complex number into its standard form z=4(cos150+isin150).
Katen [24]

Answer:

B

Step-by-step explanation:

Using the exact values

cos150° = - cos30° = - \frac{\sqrt{3} }{2}

sin150° = sin30° = \frac{1}{2}

Given

z = 4(cos150° + isin150° ) , substitute values

  = 4(- \frac{\sqrt{3} }{2} +  \frac{1}{2}i )

  = - 2\sqrt{3} + 2i , that is

(- 2\sqrt{3}, 2 ) → B

7 0
3 years ago
If y varies directly as x and y=15 when x =5, what is the value of y when x = 15?​
yulyashka [42]
Y=5 just flip the question sort of
7 0
3 years ago
1/2x+5=10 what is the number of the variable
ki77a [65]
I think what your asking for is that x=10
7 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!!! WILL MARK BRAINLIEST!!! CORRECT ANSWER ONLY PLEASE!!! Hugh described two substances which participate in pho
Brrunno [24]
All if it are wrong
3




7 0
3 years ago
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