Recent content by cmorissette

  1. C

    Tsunami word problem (waves practice)

    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...
  2. C

    Finding grad, div, and curl of given scalar and vector fields

    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
  3. C

    Finding grad, div, and curl of given scalar and vector fields

    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?
  4. C

    Finding grad, div, and curl of given scalar and vector fields

    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...
  5. C

    Finding grad, div, and curl of given scalar and vector fields

    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...
  6. C

    Finding grad, div, and curl of given scalar and vector fields

    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...
See more