Chapter G, Problem 2E

Refer to Example 1.

1. (a) Find the equation of the tangent line to the curve y = 1/t that is parallel to the secant line AD.
2. (b) Use part (a) to show that ln 2 > 0.66.

EXAMPLE 1

1. (a) By comparing areas, show that $\frac{1}{2}<\ln 2<\frac{3}{4}.$
2. (b) Use the Midpoint Rule with is n = 10 to estimate the value of ln 2.

FIGURE 3