# Answer to Question #23846 in Calculus for Shylla

Question #23846

The point P(0.25, 8) lies on the curve y=2/x . Let Q be the point (x, 2/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, 8).

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, 8).

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