The length x of a side of a triangle is increasing at a rate of 3 in/s,

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The length x of a side of a triangle is increasing at a rate of 3 in/s, the length y of another side is decreasing at a rate of 2 in/s, and the contained angle  is increasing at a rate of 0.05 radian/s. How fast is the area of the triangle changing when x = 40 in, y = 50 in, and θ = π/6?

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