3 years ago

Please help, awarding brainliest and extra points

Mathematics

1 answer:

Svet_ta [14]3 years ago

3 0

Answer:

to get that just divied i wanna say

Step-by-step explanation:

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Evaluate the surface integral. s x ds, s is the part of the plane 6x + 3y + z = 6 that lies in the first octant.

Musya8 [376]

The plane has intercepts at (1, 0, 0), (0, 2, 0), and (0, 0, 6), so we can parameterize the surface $\mathcal S$ by

$\mathbf r(u,v)=((1,0,0)(1-u)+(0,2,0)u)(1-v)+(0,0,6)v$
$\mathbf r(u,v)=((1-u)(1-v),2u(1-v),6v)$

where $0\le u\le1$ and $0\le v\le1$ . Now

$\|\mathbf r_u\times\mathbf r_v\|=2\sqrt{46}(1-v)$

so the surface integral reduces to

$\displaystyle\iint_{\mathcal S}x\,\mathrm dS=2\sqrt{46}\int_{v=0}^{v=1}\int_{u=0}^{u=1}(1-u)(1-v)^2\,\mathrm du\,\mathrm dv=\frac{\sqrt{46}}3$

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4 years ago

A girl is exactly one yard tall and her sister is 1/3 of a yard taller. how many total inches tall are they added together.

Natalija [7]

Total height = 1yd + 1yd+1/3yd = 2 1/3 yd = 7/3 yd

7/3 yd = 7/3 * 36 inch = 84 inch

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4 years ago

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Allison has a poster that is 15 in by 18 in. What will the dimensions of the poster be if she scales it down by a factor of 1/3

Naily [24]

If you minus one third from 15 and one third from 18, the dimensions would be 10 x 12

15÷3 = 5
18÷3 = 6
15 - 5 = 10
18 - 6 = 12

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