Calculate S , where S is the portion of the cylinder x 2 + z2 = 4 with 1 y 3, oriented

Vector Calculus | 4th Edition | ISBN: 9780321780652 | Authors: Susan J. Colley

ISBN: 9780321780652 319

Solution for problem 13 Chapter 8.2

Vector Calculus | 4th Edition

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Problem 13

Calculate S , where S is the portion of the cylinder x 2 + z2 = 4 with 1 y 3, oriented by outward normal vector (x, 0,z), and = z dx dy + ey2 dz dx + x dy dz.

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 Countries of Europe o Germany  82 million people  Initially was made up several tribes, royal families  Unified late 1800s early 1900s  Was divided after WWII  West Germany = part of Europe, democratic  East Germany = USSR, Communist  Contains 16 states  Highly urbanized  89% of the population  A leader in Europe : manufactoring/economic stability  Largest economy of Europe  Has the Autobahn (interstate system) o France  64 million people  Oldest state in europe

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