Mathematics, 04.09.2020 04:01 jpsaad00

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 mPQ of the secant line PQ (correct to six decimal places) for the following values of x. (i) 3.9 mPQ = (ii) 3.99 mPQ = (iii) 3.999 mPQ = (iv) 3.9999 mPQ = (v) 4.1 mPQ = (vi) 4.01 mPQ = (vii) 4.001 mPQ = (viii) 4.0001 mPQ = (b) Using the results of part (a), guess the value of the slope m of the tangent line to the curve at P(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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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 c...