The point P 4 4 lies on the curve y a If Q is the point 1 3 9 mpqQ ii 3 99 mpQ iii 3 999 mpQ iv 3 9999 MpQ 1 v 4 1 MpQ vi 4 01 m mpQ vii 4 001 mpo viii 4 0001 mpo 4 3 x find the slope of the secant line PQ correct to six decimal places for the following values of x b Using the results of part a guess the value of the slope of the tangent line to the curve at P 4 4 c Using the slope from part b find an equation of the tangent line to the curve at P 4 4