Find an equation of the tangent line to the parabola y = r at the point...

   

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Find an equation of the tangent line to the parabola y = r at the point P(2.1, 4.41). Start by calculating the slope of the secant line PQ for different points Q that get closer to the point P(2.1, 4.41). Fill in this table by calculating the slope of the tangent lines through P and the point Q(x, x) for the values of provided in the table. 3 x mpQ 2.5 2.2 2.11 2.101 2.1001 Based on the values in this table, it appears the slope of the tangent line should be m = Now that you have the slope m of the tangent line and a point P(2.1, 4.41) on the tangent line, you can find the equation of the line: tangent line is y = Find an equation of the tangent line to the parabola y = r at the point P(2.1, 4.41). Start by calculating the slope of the secant line PQ for different points Q that get closer to the point P(2.1, 4.41). Fill in this table by calculating the slope of the tangent lines through P and the point Q(x, x) for the values of provided in the table. 3 x mpQ 2.5 2.2 2.11 2.101 2.1001 Based on the values in this table, it appears the slope of the tangent line should be m = Now that you have the slope m of the tangent line and a point P(2.1, 4.41) on the tangent line, you can find the equation of the line: tangent line is y =