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r-rogerthat
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Homework Statement
Let the surface S be the part of the plane 2x-y+z=3 that lies above the triangle in the xy plane that is bounded by the lines y=0, x=1 and y=x. Find the total mass of S if its density (mass per unit area) is given by
ρ(x,y,z)= xy+z
Homework Equations
The Attempt at a Solution
Ok so i know this is a double integral. the limite will be
0≤x≤1
0≤y≤2x-3
and f'(x)= 2, f'(y)= -1
√(f'(x) + f'(y) + 1)= √6
so my equation is
√6∫∫(xy+z)
and i have a feeling I am meant to convert this into polar coordinates but how do you convert the limits to polar coordinates?