The point [math] lies on the curve [math].

(a) If [math] is the point [math], find the slope of the secant line [math] correct to four decimal places for the following values of [math]:

(1) .5           (2) .9
(3) .99         (4) .999
(5) 1.5         (6) 1.1
(7) 1.01       (8) 1.001

(1)
(2)
(3)
(4)
(5)
(6)
(7)
(8)

(b) Guess the slope of the tangent line to the curve at [math].

Slope =

(c) Using the slope from part (b), find the equation of the tangent line to the curve at [math].

[math]

Your overall score for this problem is