Recent content by jualin

  1. J

    Triple Integrals with Spherical Coordinates: Finding Limits

    Or since z2 +y2 + x2 = 4 is a sphere and spheres have a \phi from 0 to \pi. Can anybody double check that my limits of integration are correct? Thank you
  2. J

    Triple Integrals with Spherical Coordinates: Finding Limits

    Can I use the limits of y to get \phi. For instance since y = 4 then can I say \rho sin \phi sin \theta = 4 so sin \phi = \rho / sin \theta Now I am stuck there. Do I plug in a value for \rho and \theta. For instance 2 for \rho and 2pi for \theta. That would give me an undefined answer and...
  3. J

    Triple Integrals with Spherical Coordinates: Finding Limits

    Homework Statement I have this question about triple integrals and spherical coordinates http://img405.imageshack.us/img405/9343/81255254.th.jpg Homework Equations y = \rho sin \varphi sin \theta x = \rho sin \varphi cos \theta z = \rho cos \varphi \rho2 = z2 + y2 + x2...
  4. J

    Volume of a Solid using Triple Integrals

    Thank you very much, Mr Kurtz!
  5. J

    Volume of a Solid using Triple Integrals

    Homework Statement Use a triple integral to find the volume of the solid enclosed by the cylinder z=y2 and the planes x=0, x=6, and z=16. Set up the integral in rectangular coordinates and work it out in any coordinates. Homework Equations The Attempt at a Solution I set up the triple...
  6. J

    Optical Instruments I - Thin Lens

    I have the same question. If you say that "f" and "o" are the same therefore: 1/o+1/i=1/f or if o=f then 1/f + 1/i = 1/f so 1/f - 1 /f = 1/i Wouldn't the "i" be zero? Or would it be the twice the focal length "2f"? Also what would be the answer for the word that is being asked...
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