Please, turn o your cell phones and do not wear ear-plugs during the exam. You may not use a calculator which has symbolic manipulation capabilities. 2. check answers when possible, clearly indicate your answer and the reasoning used to arrive at that answer (unsupported answers may not receive credit): give exact answers, rather than decimal approximations to the answer (unless otherwise stated). Each question is followed by space to write your answer. Please write your solutions neatly in the space below the question. You are not expected to write your solution next to the statement of the question. Also when appropriately record your answers at the bottom of the page. You are to answer two of the last three questions. Please indicate which problem is not to be graded by crossing through its number on the table below. Notice that there is an additional bonus problem. For its solution you can earn up to 10 points for extra credit.