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The point P(0.25,12) lies on the curve y=3/x . Let Q be the point (x,3/x).

a.) Find the slope of the secant line PQ for the following values of x.
If x=0.35, the slope of PQ is:

If x=0.26, the slope of PQ is:

If x=0.15, the slope of PQ is:

If x=0.24, the slope of PQ is:

b.) Based on the above results, guess the slope of the tangent line to the curve at P(0.25,12).