Recent content by laplacianZero

Nvm. I got it.

?

Well, is the above post #3 a possibility?

No example in particular... but I guess I can come up with one. Here Curl of vector field F = <2x, 3yz, -xz^2> Is this possible??

Let's assume the vector field is NOT a gradient field. Are there any restrictions on what the curl of this vector field can be? If so, how can I determine a given curl of a vector field can NEVER be a particular vector function?

Besides plotting to find approximate root or using the Newton raphson method, are there any other ways?

Modular forms are also fundamental operations.

[(x)*(1/9)^(1/9)^x ] - 1 = y How do you find the roots?

An infinite number of dx that is infinitely small can fill up the segment length of 1.

Here's something interesting about this problem. Does it take more work to pump water from bottom of tank or from top of tank as you slowly lower the hose?

Dx is an infinite small change in x

How do I derive this vector integral from the simple divergence theorem? I seem to lose the vector if I start off with Scalar function times arbitrary constant Vector V as my starting vector field.

The surface integral Scalar function times vector dS Does NOT make sense. Furthermore, Volume integral of gradient of the scalar function times dV makes no sense either. Equating these two integrals to each other just does not produce meaning as there is clear meaning of the divergence...

If we don't place Archimedes principle on this equality... there really is no meaning.

The divergence theorem states that the flux of the vector field through the surface is equal to the divergence of the vector field throughout the volume. So, no I do not have the same problem with the divergence theorem