11. The point P(1,2) lien on the curve y = 1:2 a: + 2. (a) If Q is the point (1:, 1:2 a: + 2), use your calculator to nd the slope of the secant line PQ for the following values of x: (l) 1.5, (2) 0.5, (3) 1.1, (4) 0.9, (5) 1.01, and (6) 0.99. (b) Using the results in part (a), guess the value of the slope of the tangent line to the curve at P(l,2). (c) Calculate the slope of the tangent line to the curve at P(1, 2) exactly, and nd an equation of the corresponding tangent line