In order to receive full credit all work must be shown and readable as discussed in class. Starred* problems are problems you would see on a calculator section. If the problem isn't starred you should not use a calculator. 1. *The point P(8, In (8 ))lies on the curve y = In(x). a. If Q is the point (x, In (x)), use your calculator to find the slope of the secant line PQ (correct to four decimal places) for the following values of x in Table 1 below. No need to show work here, just fill in the table. X 7.9 7.99 7.999 8.001 8.01 8.1 b. Using the results of part (a), estimate the value of the slope of the tangent line to the curve at P(8, In (8)) 2. For the curve f(x) = 5x - x' what is the slope of the secant line through the point P= (1, f(1) and Q (4, / (4) )