If f(x,y) = 160(y + 4) represents the "population density" of a planar region on Earth, where x and y are measured in miles, find the number of people in the region bounded by the curves x = y^2 and x = 4y - y^2.
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To find the intersection points, set the two equations equal to each other: y^2 = 4y - y^2 2y^2 - 4y = 0 2y(y - 2) = 0 y = 0 or y = 2 Show more…
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