Recent content by cmorissette

Homework Statement A Tsunami has been generated as a plane wave 4000km off the shore of California. The sea surface displacement is found to be 3 meters and the wavelength of the tsunami is 100km. You can assume a depth of 4000m from the location of wave generation to shore. a.) Calculate...

Ok, but isn't the divergence the dot product of the gradient and the vector? Oh I see I wrote dot product between scalar and vector, my mistake

Okay, great! So I think then for divergence I would do the dot product between the scalar and the vector. (SxVx)i + (SyVy)j + (SzVz)k And the curl would be the cross-product, which I would solve using a matrix, I think?

Okay, thanks so much Hootenanny for the great overview of partial derivatives. If my math is correct, would the partial derivatives for the scalar in the problem be: with respect to x; 3x^2 + 2y with respect to y; 2x + z^2 with respect to z; 2yz I'm a bit confised about the notation...

I've heard of partial derivatives, but I've never taken a course in which I had to do one. My undergraduate math department taught sections of calc I, II, and III that I've heard everywhere else are equivalent to calc I and II. So, because I only went through calc II, I think I may have missed...

Homework Statement If scalar s=x^3 + 2xy + yz^2 and vector v = (xy^3, 2y + z, z^2) find: (a) grad (s) (b) div v (c) curl v Homework Equations The Attempt at a Solution I'm entirely lost at how to do this. I think that grad s is the derivative of the scalar. I think that div is...