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polet [3.4K]
2 years ago
8

XxY=100 What is X and Y

Mathematics
1 answer:
Dvinal [7]2 years ago
7 0

Answer:

X could be 50 and Y could be 2 or vice versa. X and Y can also be 10.

Step-by-step explanation:

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The square (call it S) has one vertex at the origin (0, 0, 0) and one edge on the y-axis, which tells us another vertex is (0, 3, 0). The normal vector to the plane is \vec n=\vec\imath-\vec k, which is enough information to figure out the equation of the plane containing S:

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We can parameterize this surface by

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\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\iint_S\vec F(\vec s(x,y))\cdot\vec n\,\mathrm dx\,\mathrm dy

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=\displaystyle\int_0^3\int_0^{3/\sqrt2}4\,\mathrm dx\,\mathrm dy=\boxed{18\sqrt2}

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