The point P(9, -3) lies on the curve y 3/(8 x) (a) If Q is the point (x, 3/(8 - 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) 8.9 mPO= (ii) 8.99 Тро - (iii 8.999 ТРо 3 (iv) 8.9999 Тро - (v) 9.1 Тро — (vi) 9.01 Тро - (vii) 9.001 Тро - (viii 9.0001 Тро - (b) Using the results of part (a), guess the value of the slope m of the tangent line to the curve at P(9, -3). m = (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(9, -3)

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