Math 53 Homework 13 Due Friday 4/29/16 in section (The problems in parentheses are for extra practice and optional. Only turn in the underlined problems.) Monday 4/18: The divergence theorem (continued) Read: section 16.9. Work: 16.9: 17, 19, 27, (29). Problems 1 and 2 below. Wednesday 4/20: Stokes' theorem Read: section 16.8. Work: 16.8: (1), (3), (5), (7), (9), 131 , 15. Problems 3 and 4 below. Friday 4/22: Review for midterm 2 Monday 4/25: MIDTERM 2 Wednesday 4/27: Stokes' theorem (continued) Read: sections 16.8 and 16.10. Problem 1. Consider the space region bounded below by the right-angled cone p z = x2 + y 2 , and above by the sphere x2 + y 2 + z 2 = 2. These two surfaces intersect in a horizontal circle; let T be the horizontal disk having this circle as boundary, S the spherical cap forming the upper surface, and U the cone forming the lower surface. Orient S, T , U \"upwards\