Calculus Calculus Math Forum

June 8th, 2014, 09:53 PM   #1
Member

Joined: Apr 2014
From: australia

Posts: 68
Thanks: 32

vector field, divergence, curl

hi,
for vector field;

V=(e^x) i + sin(y^2) j + cos(z^5) k.

im trying to find the;
a) divergence
b) divergence at a particular point, P.
c) curl
d) curl at a particular point, P.

i have worked through it but am not sure if i have done it correctly. see attached.

thanks
Attached Images 2012-Q7.jpg (71.4 KB, 5 views) June 9th, 2014, 08:54 PM #2 Senior Member   Joined: Jul 2012 From: DFW Area Posts: 642 Thanks: 99 Math Focus: Electrical Engineering Applications Hi harley05, a), c) and d) look correct, but b) does not. $\cos{\sqrt{\pi/2}^2}=\cos{\pi/2}=0$ and you used 0.5. Did you mistake it for $\cos{\pi/3}$? Also, $\sin{\sqrt{\pi}^5}=\sin{\pi}=0$ and you used 0.0548. I think for this one your calculator was calculating in degrees instead of radians. Thanks from harley05 June 9th, 2014, 10:27 PM #3 Member   Joined: Apr 2014 From: australia Posts: 68 Thanks: 32 thanks, was calculating in degrees. So is the divergence & curl vector or scalar quantity? With a curl = 0 what does this say about the vector field? June 10th, 2014, 11:16 AM #4 Senior Member   Joined: Jul 2012 From: DFW Area Posts: 642 Thanks: 99 Math Focus: Electrical Engineering Applications Hi harley05, Divergence is a scalar, curl is a vector. If the curl of a vector field is 0 everywhere then the field is conservative. Thanks from harley05 Tags curl, divergence, field, vector, vector field Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Jhenrique Linear Algebra 11 January 18th, 2014 03:15 AM solrob Applied Math 2 November 10th, 2013 10:06 AM MasterOfDisaster Calculus 2 September 26th, 2011 10:17 AM vv19882000 Real Analysis 1 July 2nd, 2009 04:44 PM dave111 Calculus 0 November 13th, 2008 04:31 PM

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