Blossom4079 Blossom4079

14-05-2023
Mathematics

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The point P(3, 0.666666666666667) lies on the curve y = 2/x. If Q is the point (x, 2/x), find the slope of the secant line PQ for the following values of x.
a. If x = 3.1, the slope of PQ?
b. if x = 3.01, the slope of PQ?
c. if x = 2.9, the slope of PQ?
d. if x = 2.99, the slope of PQ?
Based on the above results, guess the slope of the tangent line to the curve at P(3, 0.666666666666667).

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