MATH 264 Study Guide - Quiz Guide: Surface Integral, Ellipse

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Assignment 3, due in your tutorial session on the week of february 16, 2009: compute the line integral. Zc: dr, where f = y2i xj and c is the ellipse parametrized counter-clockwise, compute the line integral x2 a2 + y2 b2 = 1, Zc: dr where f = r/|| r||3, r = (x, y, z) and c is the right circular helix with parametrization (cos t, sin t, t), 0 t 2 , compute the surface integral. F. ds, where s is the closed surface obtained by gluing the upper hemisphere x2 + y2 + z2 = 1, z 0 to the equatorial disk x2 + y2 1, z = 0, oriented with the outward pointing normal, and f = (2x, 2y, 2z): compute the surface integral.

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