MATH 1910 Final: MATH 191 Cornell Final Exam
Document Summary
Final: write your name on every exam booklet that you use, show all your work in your exam booklets, circle your nal answers and be sure that you have thoroughly explained them. Your answers do not need to be simpli ed: no calculators or books are permitted. Students are permitted to bring a single: please turn o cell phones, good luck! 2 11 sheet of paper containing notes, formulas, etc. [12 points] (b) use the partition p and some of the values from the following table to write down a riemann sum approximation for z /2. 0 leave it as a sum of fractions). sin x dx (you don"t need to simplify it you can x 0 /6. 1 (for your convenience, note that 0 < 1/8 < 1/6 < 1/4 < 1/3 < 3/8 < 1/2. ) [20 points: find the area of the surface of revolution obtained by revolving the curve about the x-axis.
