Surface integral - question about "restrictions"

Click For Summary
The discussion centers on the redundancy of specifying "in front of the yz-plane" when the problem already states "in the first octant," which implies x, y, and z are all non-negative. Participants agree that the restriction of x being greater than or equal to zero is inherently covered by the first octant definition. This leads to the conclusion that the additional phrase is unnecessary. The conversation highlights the importance of clarity and conciseness in mathematical problem statements. Overall, the consensus is that the problem could be simplified without losing meaning.
laser
Messages
104
Reaction score
17
Homework Statement
desc
Relevant Equations
desc
Screenshot_2.png

source: https://tutorial.math.lamar.edu/Classes/CalcIII/SurfaceIntegrals.aspx

I am not sure why the question had to say "in front of the yz-plane". If I understand correctly, that means x >= 0. However, isn't this restriction already accounted for by saying "in the first octant" which means x, y, z are all >= 0?
 
Physics news on Phys.org
I agree that the problem statement is redundant.
There’s no need to say “in front of the yz-plane” if it already says “in the first octant”.
 

Thread 'Does this series converge uniformly?'

First, I tried to show that ##f_n## converges uniformly on ##[0,2\pi]##, which is true since ##f_n \rightarrow 0## for ##n \rightarrow \infty## and ##\sigma_n=\mathrm{sup}\left| \frac{\sin\left(\frac{n^2}{n+\frac 15}x\right)}{n^{x^2-3x+3}} \right| \leq \frac{1}{|n^{x^2-3x+3}|} \leq \frac{1}{n^{\frac 34}}\rightarrow 0##. I can't use neither Leibnitz's test nor Abel's test. For Dirichlet's test I would need to show, that ##\sin\left(\frac{n^2}{n+\frac 15}x \right)## has partialy bounded sums...
View full post »

Similar threads

Surface integrals of vector fields, normal - does scaling matter?
Replies
7
Views
2K
Curve for a line integral - direction confusion
Replies
9
Views
1K
Why is the Jacobian for polar coordinates sometimes negative?
Replies
5
Views
1K
Divergence Theorem Verification: Surface Integral
Replies
3
Views
2K
Use Stokes' theorem on intersection of two surfaces
Replies
3
Views
2K
Understanding the argument of the surface area integral
Replies
7
Views
2K
Surface integral: Calculate the heat flow from a cylinder
Replies
1
Views
2K
Using Green's Theorem for a quadrilateral
Replies
3
Views
2K
Surface area of between 2 cones
Replies
10
Views
3K
Partial differential (multivariable calculus)
Replies
4
Views
1K