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Suppose That z=x3y2z = x ^ { 3 } y ^ { 2 }

Question 138

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Suppose that z=x3y2z = x ^ { 3 } y ^ { 2 } , where both xx and yy are changing with time. At a certain instant when x=1x = 1 and y=2y = 2 , xx is decreasing at the rate of 2 units/s and yy is increasing at the rate of 3 units/s. How fast is ZZ changing at this instant? Is ZZ increasing or decreasing?

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