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(b) Consider the surface s = {(x,y,2) € R°Ix* +y² +z* =13 and z22} and assume that S is oriented upward. Let C be the oriented boundary of S. Sketch the set S in R³ and show the oriented curve C on the sketch. (ii) Find a parametric equation for C. (ii) Let F(x, y, =)=(y,-x,2z). Use Stokes' Theorem to evaluate the flux integral ([ (curl F) n dS

(b) Consider the surface s = {(x,y,2) € R°Ix* +y² +z* =13 and z22} and assume that S is oriented upward. Let C be the oriented boundary of S. Sketch the set S in R³ and show the oriented curve C on the sketch. (ii) Find a parametric equation for C. (ii) Let F(x, y, =)=(y,-x,2z). Use Stokes' Theorem to evaluate the flux integral ([ (curl F) n dS

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Document1 - Microsoft Word (Product Activation Failed) File Home Insert Page Layout References Mailings Review View a ? % Cut A Find - Calibri (Body) - 11 - A A Aa AaBbCcDc AaBbCcDc AaBbC AaBbCc AaB AaBbCcL E Copy ae Replace Paste IU - abe X, x* I Normal I No Spaci. Heading 1 Change Styles B Heading 2 Title Subtitle A Select - Format Painter Clipboard Font Paragraph Styles Editing L'2·!'1'L:X::1:I'2•I ' 3: 1' 4• I:5'1'6'L:7'1'8 I9'1' 10. 1' 11· I'12. 1' 13 ·L'14· I ' 15' LA:L17 |' 18. (b) Consider the surface s= {x,y,2) € R°lx° + y² +z* = 13 and z22} and assume that S is oriented upward. Let C be the oriented boundary of S. (i) Sketch the set Sin R³ and show the oriented curve C on the sketch. (ii) Find a parametric equation for C. (i) Let F(x, y,z)=(y,-x,2z). Use Stokes' Theorem to evaluate the flux integral f (curl F) n ds W ll 11:42 AM 2021-10-06 Page: 1 of 1 110% - + Words: 0
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