My Math Forum Divergence theorem - confused over here

 Calculus Calculus Math Forum

August 27th, 2017, 05:12 AM   #1
Member

Joined: May 2017
From: Slovenia

Posts: 91
Thanks: 0

Divergence theorem - confused over here

Okay so I found two solved examples (attached).

The first one says:
F (x, y, z) = (y, −x, z) and P is the bottom part of the surface: z^(x^2+y^2), x^2+y^2<2. Find the flux.

The second one says: F(x,y,z) = (z*e^(y^2), x^2+1, z). P is bottom part of the spherical cap: x^2+y^2+(z-5)^2=25, z>8 Find the flux.

But they are solved differently. The first one is oriented with (0,0,1) and second one with (0,0,-1). Also the formula is different. And now I'm confused why?
Attached Images
 lalalaalaCapture.jpg (18.7 KB, 6 views) 2lalalaCapture.jpg (19.2 KB, 5 views) 3lalalaCapture.jpg (17.5 KB, 4 views) 4lalalaCapture.jpg (7.1 KB, 4 views) 333333333333Capture.jpg (11.5 KB, 3 views)

Last edited by sarajoveska; August 27th, 2017 at 05:22 AM.

 Tags confused, divergence, theorem

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post phrack999 Calculus 3 April 29th, 2017 04:24 AM xRock3r Calculus 2 December 30th, 2016 04:22 AM vysero Calculus 0 December 5th, 2014 09:21 PM alan0354 Applied Math 0 August 10th, 2013 09:14 AM aaron-math Calculus 5 December 17th, 2011 06:27 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top