MAC 2313 Midterm: MAC 2313 FIU Exam f17fk
15 Feb 2019
School
Department
Course
Professor
Document Summary
You do not have to evaluate the integral: let f = hx2 3z, ey, y2 zi. Compute div f and curl f: express this integral as an equivalent integral with the order of integration reversed, 2x2 + y2 = 1, and where they occur. Use the divergence theorem to compute the ux across of. Compute r r (x2 +y2)z ds and simplify. x y x+y da, where r is bounded: [20pts] true-false: Stoke"s thm is a standard method for computing the work done on a particle moving on a simple closed curve. Lagrange multipliers are used to solve optimization problems. The ux of an inverse-square eld across the surface of any cube in r3 is zero. F(x, y) = hy2, 2xyi is conservative on r2. The laplace operator is often written as . Curl f is often written as f. The set in r2 where |x| + |y| > 1 is simply-connected.
