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Consider the 2 implicitly-defined curves 5y - 2x + y3 - x y = 0 and 2y + 5x + 24 - xy = 0.

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Consider the 2 implicitly-defined curves 5y - 2x + y3 - x y = 0 and 2y + 5x + 24 - xy = 0. Plot these 2 functions on the same graph. Notice that it appears as though they intersect at a right angle at the origin. Use calculus to figure out whether or not they actually do

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