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The point F14, 1) lies on the curve 1/ = dx - 3. (a) If Q Is the point 0:, mt - 3), use your

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The point F14, 1) lies on the curve 1/ = dx - 3. (a) If Q Is the point 0:, mt - 3), use your calculator to nd the slope of the secant line FQ (correct to six decimal places) for the following values of x. a) 3.5 0.585786 y (ii) 3.9 10.943683 x (m) 3.99 U (VI) 4.1 U (vii) 4.01 [1 (viii) 4.001 D (b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at F14, 1). U (c) Using the slope from part (b), nd an equation of the tangent line to the curve at P91. 1}. y: H (d) Sketch the curve. two of the secant lines, and the tangent line

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