MATH 114 Midterm: MATH 114 UPenn Midterm3
Document Summary
Comments: surface integrals, stokes" theorem and gauss" theorem used to be in the math240 syllabus until last year, so we will look at some of the questions from those old exams for practice. Some of these will be challenging, but do not get discouraged. Ask me for hints if necessary: your test will be a mix of multiple choice questions and open answer questions, short solutions are provided at the end. Problem 2: (spring 2009) a cylinder of solid metal is given by the region in space bounded by x2 + y2 = 25 and the planes z = 0 and z = 4. The density function of the cyliner is (x, y, z) = ex2+y2. What is the mass of the cylinder? (a) 4 (e25 1) (e) 10 e16 (b) 8 (f ) (e10 1) (c) 8 (e5 1) (g) (e 25 1)/4 (h) 0 (d) 10 .
