Recent content by JoeyC2488

  1. J

    Optimization: Minimum Surface Area

    How would I take the derivative of this equation then with multiple variables?
  2. J

    Optimization: Minimum Surface Area

    So after substituting that in for h, the simplified form would be: A= 4V-5x\sqrt{3}+ 9\sqrt{x^2+4} \sqrt{3}
  3. J

    Optimization: Minimum Surface Area

    How would I use a formula for volume since the problem works with two shapes. V=(3\sqrt{3})/2 a^2*h h= V/ (3\sqrt{3}/2 a^2*h Then, I can just plug this into the first equation, simplify, and start the calculus. Is that right?
  4. J

    Optimization: Minimum Surface Area

    Homework Statement I need help on an optimization problem involving a hexagonal prism with no bottom or top, but the top is covered by a trihedral pyramid which has a displacement, x, such that the surface area of the object is at a minimum for a given volume. The assigned variables include...
Back
Top