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Calculus III

by: Chelsea Nolan MD
Chelsea Nolan MD

GPA 3.62

Thomas Morley

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About this Document

Thomas Morley
Class Notes
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This 0 page Class Notes was uploaded by Chelsea Nolan MD on Monday November 2, 2015. The Class Notes belongs to MATH 2401 at Georgia Institute of Technology - Main Campus taught by Thomas Morley in Fall. Since its upload, it has received 19 views. For similar materials see /class/233952/math-2401-georgia-institute-of-technology-main-campus in Mathematics (M) at Georgia Institute of Technology - Main Campus.


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Date Created: 11/02/15
Math 2401 Final Open Book and Notes Carefully explain your proceedures and answers Calculators allowed but answers mush be exact Problem 1 10 points Find the surface integral qurl F n do over the surface S whichisgivenbyz x2 y2 O z 2HereF x3y2 i xy2j xzk Set this up as a surface integral and convert to an ordinary double integral Then use Stokes s Theorem to convert to line integral s Convert these line integral s to ordinary one variable integral s The surface S does not include the top of the cone The normal is the one illustrated I Ans I Problem 2 9 points Find T andN for the curve xt cost y sint z l3 I Ans Final Spring 2007 Tom Morley 800 am I Problem 3 10 points Find the area of the cardiodr lcos 6 that is above the curve y lxl absolute value I Ans I Problem 4 9 points Find the the box of minumum cost constructed WITHOUT TOP if the cardboard for the sides is 2 cenm a square foot and the cardboard for the bottom is 8 cenm a square foot The box is to have a total volume of 64 square feet line200 7 nb


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