10.1 SOLUTIONS
429
CHAPTER TEN
Solutions for Section 10.1
1. The rate of change of P is proportional to P so we have dP = kP, dt for some constant k. Since the population P is increasing, the derivative dP/dt must be positive. Therefore, k is posit
11.1 SOLUTIONS
485
CHAPTER ELEVEN
Solutions for Section 11.1
1. Adding the terms, we see that
We can also find the sum using the formula for a finite geometric series with a = 3, r = 2, and n = 3: 3 + 3 2 + 3 22 = 2. Adding the terms, we see tha