Recent content by inevitable08

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    Lagrange Multipliers. Maximizing Area.

    Wow what a problem! Thank you so much for the help you guys! I did it all by hand and it was quite long but I was able to get the same b = s = m/3 = 12/3 = 4 and the base angles to be 120° which is essentially pi/3 because i used sin(θ-90) and cos(θ-90). Thanks again for the help, it was a...
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    Lagrange Multipliers. Maximizing Area.

    so I don't have to use Lagrange multipliers. I can use the partials of f and substitute the constraint into each partial and then solve? Either way this seems to be a messy problem by hand with all the trig involved. This is a problem that my professor wants us to solve by hand not getting...
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    Lagrange Multipliers. Maximizing Area.

    hmm So i have two ways of doing this problem? Using Lagrange's Method and not finding the critical points or using the constraint as a substitution in my equation immediately. Sorry a little hazy on this subject.
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    Lagrange Multipliers. Maximizing Area.

    Homework Statement An open gutter with cross section in the form of a trapezoid with equal base angles is to be made by bending up equal strips along both sides of a long piece of metal 12 inches wide. Find the base angles and the length of the sides for maximum carrying capacity. For more...
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    Electric Potential, Capacitance and charge of a Geiger Counter

    Ok i think i got it. We want to create a cascade of electrons from anywhere in the tube. This means i can find the acceleration of the electron that's needed to accelerate it to the velocity needed to ionize a neon atom. And the least likely place of that to happen is at the cathode (furthest...
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    Electric Potential, Capacitance and charge of a Geiger Counter

    Homework Statement Find the potential difference, capacitance of the Geiger Counter and the charge on the anode. So, we have a Geiger Counter with low-pressurized neon inside. What we want is to have an alpha particle or electron to travel into the Geiger Counter with enough energy to collide...
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    Surface Charge Density of a Neutral Conducting Cube

    Homework Statement There is a region of space containing a uniform electric field of strength E. A neutral conducting cube with side length s is placed into this field. The cube is aligned with the field. You may assume that the electric field outside the cube is unaffected by any changes that...
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