Please answer all questions and show work for every question. Provide detailed explanations, step by step break downs for explanation, written explanations, etc. Please Write neatly I definitely will leave a great rating!

1. The number of cable telephone subscribers was 3.2 million at the beginning of 2004 (1:0). For the next 5 years, the number was projected to grow at the rate of N'(t) = 3.36(2t + 1)"-05 0 s t g 5 million subscribers per year. a) Find a formula for N (t), the number of subscribers after 1: years. b) If the projection was correct, how many subscribers were there at the beginning of 2008'? (t = 4). Show all your work and give your answer in complete sentence form with appropriate units. 2. Maintenance costs for a building generally increase as the building gets older. From past records, the rate of increase in maintenance cost (in dollars per year) for a particular apartment complex is given by M'(t) = 902:2 + 5000 0 s t s 10 where t is the age of the apartment complex in years and M (t) is the total (accumulated) cost of maintenance for t years. a) What will be the total cost of maintaining the building over the rst 5 years after it was built? Write the denite integrals that will give the answer and then integrate in your calculator if you want to (or you can integrate by hand) b) What will be the total cost of maintaining the building on the 10\"1 year only? Write the denite integrals that will give the answer and then integrate in your calculator if you want to (or you can integrate by hand)