Question

y 1/(1-x) 5. The point P(2,-1) lies on the curve C If Q is the point (x,1/(1-x), use your calculator to find the slope of the secant line PQ a. (correct to six decimal places) for the following values of x: 1.5 (ii) 1.9 (i) 1.99 (iv) 1.999 (v) 2.5 (vi) 2.1 (vii) 2.01 (vii) 2.001 Using the results of part (a), guess the value of the slope of the tangent line to the curve at P(2,-1) i. b. Using the slope from part (b), find an equation of the tangent line to the curve at P(2,-1) c.

Answer 1

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We Aaua forr Slo po 1-x Tha Secont ins mpa b-a aty 1S TheN and Thop DD ) = a' bel.99 Trop 1olol0 97 a 5 Then (00l001 Oa w 999 a 5-(3.5) mpQ Thon O 669667 b-1 Thon mpPO 10 O900909 .9090 91 = a.0 VI ac O 20099 Vaw VITI Thon O-999000 a l001 Cunuo at lino to Tanged Slobe T Tho PC9-1) -1 Cx-a) fino, Tangeut Of The ES Ang 0