Answer all of questions 1 7 and choose two of questions 8 10 to answer. Please indicate which of problems 8 10 is not to be graded by crossing through its number on the table below. At the end of the exam you nd an extra credit problem. This problem is optional and might earn you up to 10 bonus points. You may not use a calculator which has symbolic manipulation capabilities. All other electronic devices including pagers and cell phones should be in the o position for the duration of the exam. Please: clearly indicate your answer and the reasoning used to arrive at that answer. You need not justify your answers to the extra credit problem: give exact answers, rather than decimal approximations to the answer. Each question is followed by space to write your answer. Please write your solutions neatly in the space provided.
