3. Let P(t) be the population (in thousands) of a certain city t years after 2010, and suppose P(t) satisfies the differential equation P'(t) = 0.03P(t) with P(0)=7 a. Find the formula for P(t). b. How long will it take for the population to double? c. At what rate will the population be changing at the beginning of year 2020? d. In what year will the population reach 1,000,000?

Fig: 1