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The point P(4, -2) lies on the curve y = 2/(3 - x). (a) If Q is the point (x, 2/(3 - x)), use your

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The point P(4, -2) lies on the curve y = 2/(3 - x). (a) If Q is the point (x, 2/(3 - 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. mpQ X (ii) 3.99 mpQ = (iii) 3.999 mpQ = (iv) 3.9999 mPQ= 4 (v ) mpQ (vi) 4.01 mpQ (vii) 4.001 mpQ = (viii) 4.0001 mpo = (b) Using the results of part (a), guess the value of the slope m of the tangent line to the curve at P(4, - 2). m = (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(4, -2)

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