31. The incidence of a disease (Continuation of Example 4.) Suppose that in any given year the number of cases can be reduced by 25% instead of 20%.
b. How long will it take to eradicate the disease—that is, reduce the number of cases to less than 1?
2. Express the following logarithms in terms of ln 5 and ln 7.
b. ln 9.8
Find the inverse of f(x)=x+b (b constant). How is the graph of f^(-1) related to the graph of f?
In Exercises 67–72, you will explore some functions and their inverses together with their derivatives and tangent line approximations at specified points. Perform the following steps using your CAS:
b. Solve the equation y=f(x) for x as a function of y, and name the resulting inverse function g.
67. y= √(3x-2), 2/3 ≤ x ≤ 4, x_0=3
71. Locate and identify the absolute extreme values of cos(ln x) on [1/2, 2]
In Exercises 67–72, you will explore some functions and their inverses together with their derivatives and tangent line approximations at specified points. Perform the following steps using your CAS:
b. Solve the equation y=f(x) for x as a function of y, and name the resulting inverse function g.
68. y= (3x+2)/(2x-11), -2 ≤ x ≤ 2, x_0=1/2
