The thickness of the frosting at a point on a rectangular piece of brownie is eq

Question

The thickness of the frosting at a point on a rectangular piece of brownie is equal to one twentieth of the square of the horizontal distance from that point to the bottom left corner of the brownie when seen from above. If the brownie is three inches wide by two inches across, what is the average thickness of frosting on the brownie?
The thickness of the frosting at a point on a rectangular piece of brownie is equal to one twentieth of the square of the horizontal distance from that point to the bottom left corner of the brownie when seen from above. If the brownie is three inches wide by two inches across, what is the average thickness of frosting on the brownie?

Explanation / Answer

Choosing coordinates with the bottom left corner of the brownie at the origin, and the 3-in edge going out the x-axis, and the 2-in edge going out the y-axis, the frosting thickness is

f(x,y) = (x

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