Consider the curve given by y = 2 + xy. dy (a) Show that dx 2у - х (b) Find all points (x, y) on the curve where the line tangent to the curve has slope . (c) Show that there are no points (x, y) on the curve where the line tangent to the curve is horizontał. (d) Let x and y be functions of time t that are related by the equation y? = 2 + xy. At time i = 5, the dy : 6. Find the value of at time i = 5. dt dx dt value of y is 3 and

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