Question #1 If the rate of change of a population of a town whose population is 10,000 - in 2004 is = .05P where P is the population of the town, then answer the dP dt following...(2 points) A) What is the population 5 years from now? B) How long will it take the population to double? C) What will be the population in 2019? Question #2 - What is the interest rate of an investment is it takes 5 years to double my investment. (2 points) Question #3 - Chemical X has a half-life of 10 years. How long will it take 100 gallons of Chemical X to decay to 20 gallons? (2 points) Question #4 - Find the derivatives of the following functions.....(2 points each) A) f(x)=LN( LN(+2=7) 2x B) f(x)=e* In(4x+2) C) g(x)=In(xe*) x D) f(x)=In x+2 E) y=3x In(x) 4x F) y= In(8x) Question #5 - If the number of people in a country is 10 million in 1990 and grows exponentially to 30 million in 2010, what will the population be in 2030 if the growth is exponential? (2 points)