Document1 - Microsoft Word (Product Activation Failed) File Home Insert Page Layout References Mailings Review View a ? W Signature Line - T. πΩ A 5. Date & Time Quick WordArt Drop Cover Blank Page...

Calculus in higher dimensions

Extracted text: Document1 - Microsoft Word (Product Activation Failed) File Home Insert Page Layout References Mailings Review View a ? W Signature Line - T. πΩ A 5. Date & Time Quick WordArt Drop Cover Blank Page Page Page Pages Table Picture Clip Shapes SmartArt Chart Screenshot Hyperlink Bookmark Cross-reference Header Footer Page Number Text Equation Symbol Box Parts Cap- Object - Break Art Tables Illustrations Links Header & Footer Тext Symbols 2:1·1•I 11• 2:1:3:1·4: 15.1 6:1 7:18•1 9.1 10. 11· I·12: 1 •13. 1 14: I 15. 1 : 17: 1 18. 17118 'י 15 14 13 י י 12 וי 11 ו 10 :9 8 7 6 ינ L 11. Let S be the surface of the solid D that is bounded below by the paraboloid z = r² + y² +1 and bounded above by the plane z = 5. Use Gauss' Theorem to determine the flux integral |En dS, where F (r, y, z) = (rz, 1 – yz, r2). Hints • Sketch the solid D. • Check whether all the conditions for Gauss' Theorem are satisfied before applying it. • When you have applied Gauss' Theorem you have an ordinary triple integral. Use cylindrical coordinates to evaluate this triple integral. all 07:03 PM 2021-07-29 Page: 7 of 8 Words: 5 M E E E 90%