This exam has six multiple choice questions (six points each) and ve free response ques- tions with points as shown. Additional blank sheets are available if necessary for scratch work. 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. On the multiple choice problems: you must give your nal answers in the multiple choice answer box on the front page of your exam, carefully check your answers. No credit will be given for answers other than those indicated on the multiple choice answer box. Each free response question is followed by space to write your answer. Please write your solutions neatly in the space below the ques- tion. You are not expected to write your so- lution next to the statement of the question.