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Calculus

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The point P 1 1 2 lies on the curve y x 1 x a If Q is the point x x 1 x find the slope of the secant line PQ correct to four decimal places for the following values of 1 5 2 9 4 999 3 99 5 1 5 6 1 1 7 1 01 8 1 001 1 2 3 4 5 6 7 8 LLL b Guess the slope of the tangent line to the curve at P Slope c Using the slope from part b find the equation of the tangent line to the curve at P

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