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krek1111 [17]
2 years ago
10

Will give brainliest! Please help

Mathematics
1 answer:
Mashutka [201]2 years ago
7 0

Answer: 1,2,3,4,5

1a,3b,5c,2d

Step-by-step explanation:

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Since density is the ratio of mass to (in this case) area, we can find the mass of the triangular region \mathcal T by computing the double integral of the density function over \mathcal T:

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The boundary of \mathcal T is determined by a set of lines in the x,y plane. One way to describe the region \mathcal T is by the set of points,

\mathcal T=\left\{(x,y)\mid0\le x\le 3\,\land\,0\le y\le1-\dfrac x3\right\}

So the mass is

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=\displaystyle\int_{x=0}^{x=3}\left(x^2y+\frac{y^3}3\right)\bigg|_{y=0}^{y=1-x/3}\,\mathrm dx

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3 years ago
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3 years ago
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