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In the figure below, line T is tangent to the graph ofy=1/x 2 at point P, with coordinates(w,1/w 2 ), wherew>0. Point Q has coordinates(w,0).
In the figure below, line T is tangent to the graph ofy=1/x2 at point P, with coordinates(w,1/w2), wherew>0. Point Q has coordinates(w,0). Line T crosses the x-axis at point R, with coordinates (k, 0).
Suppose that w is increasing at the constant rate of 5 units per second. When w = 2, what is the rate of change of the area of triangle PQR with respect to time? Determine whether the area is increasing or decreasing at this instant.
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