Calculus: Single And Multivariable
Calculus: Single And Multivariable
7th Edition
ISBN: 9781119444190
Author: Hughes-Hallett, Deborah; Mccallum, William G.; Gleason, Andrew M.; Connally, Eric; Kalaycioglu, Selin; Flath, Daniel E.; Lahme, Brigitte; Lomen, David O.; Lock, Patti Frazer; Lovelock, David; Morris, Jerry; Lozano, Guadalupe I.; Mumford, David; Quinney, D
Publisher: WILEY
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Chapter 20.1, Problem 25E

A tornado is formed when a tube of air circling a horizontal axis is tilted up vertically by the updraft from a thunderstorm. If t is time, this process can be modeled by the wind velocity field

F ( t , x , y , z ) = ( cos t j + sin t k ) × r  and  0 t π 2 .

Determine the direction of curl  F

  1. (a) At  t = 0
  2. (b) At  t = π / 2
  3. (c) For  0 < t < π / 2
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Calculus: Single And Multivariable

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