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Page 1: Department of Mathematics | Penn Mathwziller/Math114f19/Midterm...Math 114 Midterm Il Exam December 5, 2019 Name: 2. Let V be a ball of radius 1: + + z2 < 1. If the mass density is
Page 2: Department of Mathematics | Penn Mathwziller/Math114f19/Midterm...Math 114 Midterm Il Exam December 5, 2019 Name: 2. Let V be a ball of radius 1: + + z2 < 1. If the mass density is
Page 3: Department of Mathematics | Penn Mathwziller/Math114f19/Midterm...Math 114 Midterm Il Exam December 5, 2019 Name: 2. Let V be a ball of radius 1: + + z2 < 1. If the mass density is
Page 4: Department of Mathematics | Penn Mathwziller/Math114f19/Midterm...Math 114 Midterm Il Exam December 5, 2019 Name: 2. Let V be a ball of radius 1: + + z2 < 1. If the mass density is
Page 5: Department of Mathematics | Penn Mathwziller/Math114f19/Midterm...Math 114 Midterm Il Exam December 5, 2019 Name: 2. Let V be a ball of radius 1: + + z2 < 1. If the mass density is
Page 6: Department of Mathematics | Penn Mathwziller/Math114f19/Midterm...Math 114 Midterm Il Exam December 5, 2019 Name: 2. Let V be a ball of radius 1: + + z2 < 1. If the mass density is
Page 7: Department of Mathematics | Penn Mathwziller/Math114f19/Midterm...Math 114 Midterm Il Exam December 5, 2019 Name: 2. Let V be a ball of radius 1: + + z2 < 1. If the mass density is
Page 8: Department of Mathematics | Penn Mathwziller/Math114f19/Midterm...Math 114 Midterm Il Exam December 5, 2019 Name: 2. Let V be a ball of radius 1: + + z2 < 1. If the mass density is
Page 9: Department of Mathematics | Penn Mathwziller/Math114f19/Midterm...Math 114 Midterm Il Exam December 5, 2019 Name: 2. Let V be a ball of radius 1: + + z2 < 1. If the mass density is
Page 10: Department of Mathematics | Penn Mathwziller/Math114f19/Midterm...Math 114 Midterm Il Exam December 5, 2019 Name: 2. Let V be a ball of radius 1: + + z2 < 1. If the mass density is
Page 11: Department of Mathematics | Penn Mathwziller/Math114f19/Midterm...Math 114 Midterm Il Exam December 5, 2019 Name: 2. Let V be a ball of radius 1: + + z2 < 1. If the mass density is