The point P(3, -3) lies on the curve y = 3/(2-x). (a) If Q is the point (x, 3/(2-x)), use your calculator to find the sl

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The Point P 3 3 Lies On The Curve Y 3 2 X A If Q Is The Point X 3 2 X Use Your Calculator To Find The Sl 1 (50.56 KiB) Viewed 30 times

The point P(3, -3) lies on the curve y = 3/(2-x). (a) If Q is the point (x, 3/(2-x)), use your calculator to find the slope mpo of the secant line PQ (correct to six decimal places) for the following values of x. (1) 2.9 MpQ = 0.3 (ii) 2.99 mpQ = (iii) 2.999 MpQ = (iv) 2.9999 MpQ = (v) 3.1 MpQ = (vi) 3.01 mpQ = (vii) 3.001 mpQ = (viii) 3.0001 MpQ = X X X X X X X X (b) Using the results of part (a), guess the value of the slope m of the tangent line to the curve at P(3, -3). m = X (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(3, -3). X