The point Ps2, 21d lies on the curve y 1ys1 2 xd. (a) If Q is the point sx, 1ys1 2 xdd

Chapter 2, Problem 3

(choose chapter or problem)

The point Ps2, 21d lies on the curve y 1ys1 2 xd. (a) If Q is the point sx, 1ys1 2 xdd, use your calculator to find the slope of the secant line PQ (correct to six decimal places) for the following values of x: (i) 1.5 (ii) 1.9 (iii) 1.99 (iv) 1.999 (v) 2.5 (vi) 2.1 (vii) 2.01 (viii) 2.001 (b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at Ps2, 21d. (c) Using the slope from part (b), find an equation of the tangent line to the curve at Ps2, 21d

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