The point P(6,-4) lies on the curve y = 4/(5-x). (a) If Q is the point (x, 4/(5-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. (i) 5.9 mpQ (i) 5.99 mpQ %3D (ii) 5.999 mpQ %3D (iv) 5.9999 mPQ = mpQ %3D (v) 6.1 %3D (vi) 6.01 mpQ (vii) 6.001 %3D mpQ (viii) 6.0001 mpQ = (b) Using the results of part (a), guess the value of the slope m of the tangent line to the curve at P(6,-4). hp edts Studio Sound insert f12 f1l f1o f8 144 f7 +.

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