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Source: faculty.math.illinois.edu
File: Worksheet 120313 Alt Sol
Tuesday,December3 ∗ Solutions ∗ Surfaceintegralsofvectoreldsandrelatedtheorems 1. ConsidertheregionD inR3 boundedbythexy-planeandthesurfacex2+y2+z=1. (a) MakeasketchofD. Solution. ThesketchofD isshownbelow. (b) TheboundaryofD,denoted∂D,hastwoparts: thecurvedtopS1 andtheatbottomS2. ParameterizeS1andcalculatetheuxofF=(0,0,z)throughS1withrespecttotheupward pointingunitnormalvectoreld. Checkyouanswerwiththeinstructor. Solution. ToparametrizeS1,onehas ...
Filetype PDF | Posted on 26 Jan 2023 | 2 years ago