Question: (a) If Q is the point ( x, - 3 4 - x find the slope of the secant line PQ (correct to six decimal

(a) If Q is the point ( x, - 3 4

(a) If Q is the point ( x, - 3 4 - x find the slope of the secant line PQ (correct to six decimal places) for the following values of x. (i) 4.9 mpQ X (ii) 4.99 mpQ X (iii) 4.999 mpQ X (iv) 4.9999 m po X (v) 5.1 mpQ X (vi) 5.01 mpQ X (vii) 5.001 mpQ X (viii) 5.0001 mpQ = X (b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at P(5, -3). m = X

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