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  3. the point p 5 4 lies on the curve y 4 4 x a if...

The point P 5 4 lies on the curve y 4 4 x a If...

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Geometry

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The point P 5 4 lies on the curve y 4 4 x a If Q is the point x 4 4 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 1 4 9 mpQ ii 4 99 MpQ 4 999 mpo iv 4 9999 mpQ v 5 1 MpQ vi 5 01 mpQ vii 5 001 mpQ viii 5 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 5 4 m c Using the slope from part b find an equation of the tangent line to the curve at P 5 4

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