Recent content by aronclark1017

  1. aronclark1017

    Volume with spherical coordinates

    Yes is Stewart 5e calculus section cylindrical and spherical volume is expert of integrals. Justis at the point trying to understand what exactly the pointer is doing. In cases of polar equation on single plane where multiple trace with interval 0, 2pi what exactly the pointer is doing must...
  2. aronclark1017

    Volume with spherical coordinates

    I'm just unclear on exactly what that pointer is doing need to plot many points or see some type of animator what matter any feng else really if no understand these concepts
  3. aronclark1017

    Volume with spherical coordinates

    Correct me if I'm wrong... if the sphere is p=sina, centered at 1/2,0,0 then only need theta between -pi/2, pi/2 because is nothing that exists in quadrant 2 and 3 and a for 0, pi/2 . but in the case that the sphere is centered at 0,0,1/2 p=cosa is theta for 0, 2pi and a for 0, pi/2. this apply...
  4. aronclark1017

    Volume with spherical coordinates

    Oh yeah is centered at 0,0,2 so is 2pi for the cone. Here z is dependant on p which appears to require 2 traces of the circle within the xy plane to get to the top of the sphere like it's spiraling upward as theta increases to 2 pi. Although in this cylindrical example #14 only one trace is...
  5. aronclark1017

    Volume with spherical coordinates

    a is my reference to the angle off the z axis. This is a cone shape for pi/3 for any angle t in the xy plane. The sphere is p=4cosa similarly where p is the spherical pointer and a is the angle off of the z axis.
  6. aronclark1017

    Volume with spherical coordinates

    It must be because the pointer is spiraling upward as theta increases when using spherical coordinates. However using cylindrical coordinates it's simply using z. I will have to check z values as theta increases when I get a chance. Will also find the example using cylindrical coordinates...
  7. aronclark1017

    Volume with spherical coordinates

    I believe that I recall only have to use a part of the polar integral using cylindrical system
  8. aronclark1017

    Unit Circle Double Angle Derivations

    Although it's hard to imagine this contraption in motion at first glance. I think that's why they say "isosoles". after being corrected on my equilateral derivation by a neighbor 😡😡
  9. aronclark1017

    Unit Circle Double Angle Derivations

    Heh dry idea..I think is to never trust one person by self when it come to mechanics no debugger else is dry idea even with PhD.
  10. aronclark1017

    Unit Circle Double Angle Derivations

    Here I made a terrible mistake of assuming this to be an equilateral triangle and set 2sinx=1 => x=pi/6. Although this did derive the double angle formulas it also led into a terrible mess trying to find all the combinations of sides. I must have been tired and just assumed 6x=180 and 2sinx=1...
  11. aronclark1017

    Project Documentation

    I think I am settling on this style here
  12. aronclark1017

    Project Documentation

    I have created my own application where user can navigate class fields, properties, and methods. This application also generates files that simply just list all of that information. But in some projects that are large and complex there seems to be a need for a mechanical diagram especially when...
  13. aronclark1017

    Project Documentation

    What do you think of my personal documentation? Are diagrams such as UML a reliable standard for diagrams. If so any reference you have to code examples with UML diagrams would be appreciated.
  14. aronclark1017

    Project Documentation

    Trying to package up a small bank account manager project that I have been tempering on for a while. One that is certainly worth something to me. Although I have created methods to whip up quick documents with all fields and properties. I would like something better to reference in order to...
  15. aronclark1017

    I Unit Circle Confusion: A Self-Study Challenge?

    yes it would appear to be missing the negative. But this documentation seems very creditable. I suppose it doesn't matter much as in this case of derivation of double angle formulas using unit circle.