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  3. the point p(2, -1) lies on the curve y = 1/(1-x).(

The point P(2, -1) lies on the curve y = 1/(1-x).(a) If Q is the...

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

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