Mathematics

Mathematics

Problem

Which expression gives the area A(x)A(x) of a square cross section whose side length at position xx equals the vertical distance between the curves y=f(x)y=f(x) (upper) and y=g(x)y=g(x) (lower)? a) π (f(x)−g(x))2\pi\,(f(x)-g(x))^2 b) f(x)2−g(x)2f(x)^2-g(x)^2 c) (f(x)−g(x))2(f(x)-g(x))^2 d) (f(x)−g(x))(f(x)-g(x))

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