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Stells [14]
2 years ago
9

- Halla los números b y c para que la función =

Mathematics
1 answer:
sesenic [268]2 years ago
3 0

le answer es -2,3 please thank me

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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
What is the slope of the line shown below?
Ksivusya [100]
M = (8-2)/(4-2) = 3
Therefore the slope is 3 (D).
7 0
3 years ago
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The diameter of a circle is 13 cm. What is the radius of the circle?
nikklg [1K]

Answer:

The Radius is 6.5 cm.

Step-by-step explanation:

We know that the diameter of a circle is a line that begins on one point of a circle and ends on the opposite side. We also know that the radius is a point on the circle that starts from that point and ends at the center. Therefore, the radius would be half the diameter.

13/2 = 6.5

Hope this helped :D!

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2 years ago
There are 6 diagonals that can be drawn from one vertex of an octagon, true or false.
FinnZ [79.3K]
It's False; an octagon has 8 vertices. When you remove the starting vertex and the two adjacent vertices we're left with 5 possible diagonals
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3 years ago
What is yhe area of thr hexagon? 5cm, 8cm and 9.28 cm
xeze [42]

Answer:

2 meters

long long long long

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3 years ago
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