49. Use Closed Interval Method, in page 275.
53. Use the Quotient Rule for Differentiation and remember to consider boundaries.
56. As 53.
60. ln 2 ≈ 0.6931
62. e ≈ 2.71828. You do not need to solve a numerical answer for f′(x) = 0. Using the equation directly and the fact that ex is a one-to-one function.
63. Notice that f (x) is nonnegative and apply Extreme Value Theorem for f (x).
67. The function only has definition when x − x2 ≥0. (explain why??)
78. f′(x) has only degree 2. How many roots does a polynomial with degree 2 have??
1