- #1

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?