1. Suppose the rabbit population on Leroy Jonkins' farm follows the following formula 3000: t = 7 m ) 3+ 1 whee t 2 0 is the time (in months) since the beginning of the year. (a) Sketch a graph of the rabbit population. (b) What eventually happens to the rabbit population? 0 For problems 2 and 3, use the compound interest formula given in the lecture notes or in the textbook (Section 4.1). 2. If $2,000 is invested at an interest rate of 5.3% emnpountled monthly, nd the value of the investment after (a) 2 years, (b) 5 years, and (c) 10 years. 3. Find the present value of $25,000 if interest is paid at a rate of 8.1% compounded quarterly for 11 years. 4. Doctors use radioactive iodine as a tracer in diagnosing certain thyroid gland disorders. This type of iodine decays in such a way that the mass remaining after t days is given by the function mu) ___ 68 U.[I87t where m{t} is measured in grams. (a) Find the initial mass (mass at time t = 0). (b) How much of the mass remains after 20 days? 5. If $3,500 is invested at an interest rate of 6.25% per year compounded continuously, nd the value of the investment after (a) 3 years, (b) 6 years. and (c) 9 years. (The formula can he found in the lecture notes or the textbook, section 4.2.)