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Thepotemich [5.8K]
3 years ago
13

on the grid, which point is located in the quadrant where the x-coordinate is a negative number and the y- coordinate is a posit

ive number¿​

Mathematics
1 answer:
lina2011 [118]3 years ago
8 0

Answer:

b

Step-by-step explanation:

because if you look at it the x-coordinate is -6 and the y-coordinate is positive 4

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Evaluate the surface integral. s x ds, s is the part of the plane 18x + 9y + z = 18 that lies in the first octant.
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In the first octant, the given plane forms a triangle with vertices corresponding to the plane's intercepts along each axis.

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Now that we know the vertices of the surface \mathcal S, we can parameterize it by

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where 0\le u\le1 and 0\le v\le1. The surface element is

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With respect to our parameterization, we have x(u,v)=(1-u)(1-v), so the surface integral is

\displaystyle\iint_{\mathcal S}x\,\mathrm dS=2\sqrt{406}\int_{u=0}^{u=1}\int_{v=0}^{v=1}(1-u)(1-v)^2\,\mathrm dv\,\mathrm du=\frac{\sqrt{406}}3
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