Question

Asked Oct 15, 2019

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Find the mass of the triangular region with vertices (0,0), (4, 0), and (0, 1), with density function ρ(x,y)=x^2+y^2

Step 1

Please see the white board. Please note the location of the three points O, A & B.

Equation of AB can be derived as:

(y - 1) = (x - 0)(0 - 1) / (4 - 0)

Hence, y - 1 = -x / 4

Hence, y = 1 - x/4

Step 2

R is the region of integration which should be:

y ...

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