Let 0 (in radians) be an acute angle in a right triangle and let x and y, respectively, be the lengths of the sides adjacent to and opposite 0. Suppose also that x and y vary with time. At a certain instant x = 6 units and is increasing at 4 unit/s, while y = 9 and is decreasing at units/s. How fast is 0 changing at that instant? Answer: 6/sart117

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