Answer all of the questions 1 - 7 and two of the questions 8 - 10. Please indicate which of problem 8 - 10 is not to be graded by crossing through its number in the table below. Answer as many extra credit problems as you wish to; please carefully read the instructions on the last page of the exam. Please, turn o your cell phones and do not wear ear-plugs during the exam. You may use a calculator, but not one which has symbolic manipulation capabilities. 1. 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.