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Posted: July 7th, 2024
Math 327-01 Problem Set 08 (Week 13)-Find the surface area of the portion of the paraboloid
Math 327-01Problem Set 08 (Week 13)Due May 6, 2016Name:(© 03/07/2016 Author: Dale M. Rohm)Complete the following problems on your own paper and staple this sheet to the front as acover page. Show all work neatly and completely in order to ensure full and partial credit. Iwill deduct points for sloppy or incomplete work. Treat these problems as you would anyhomework problem set, you may work together and seek help.1.Find the surface area of the portion of the paraboloid D Å #B# +#C# that lies between theplanes D Å # and D Å ) .2.Evaluate the surface integral ( ( CD .W where D is the triangular portion of the planeDB C D Å " that lies in the first octant.3.Evaluate the surface integral ( ( Ã% D .W where D is the portion of the cylinderDB# C# Å * with ! Ÿ D Ÿ & Ã4.Evaluate the flux integral ( ( aCà Bà D b â R .W where R is the upward pointing unitDvector to the paraboloid D Å " B# C# where ! Ÿ D Ÿ " Ã5.Evaluate the flux integral ( ( aBà Dà Cb â R .W where R is the upward pointingDunit vector to the hemisphere B# C# D # Å % where ! Ÿ D Ÿ # Ã
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