Comparison between circular and square vibrating membranes

Problem attached.

Newton's Method

Use Newton's method to find approximations, to 4 decimal places, for all three solutions of the equation x^3= 3x + 1

Simpson's Rule

Please see attachment

Static solution to a spherical harmonic

Problem attached.

UPDATE Normal modes and eigenfrequencies of a cylindrical pipe

Problem attached. UPDATE: Part 4-d asks to find a solution the wave equation for the the lowest critical frequency by bringing the radial equation into Schrodinger form (no first derivative), then solving it. I have updated the posting with information on Schrodinger form. The lowest critical frequency itself does not remove ...continues

state whether the pair of statements are logically equivalent

~(p V ~q) ^ ~(p V q)and (~p ^ q)^(~p ^ ~q)

Spherically symmetric solution to the Helmholtz equation

Problem attached. The following link was referenced to me regarding the problem: http://farside.ph.utexas.edu/~rfitzp/teaching/jk1/lectures/node19.html This solution is somewhat overwhelming to me, and difficult for me to follow. I am looking for a more streamlined solution, which contains only details relevant to the c ...continues

Spherically symmetric solution to the Helmholtz equation

Problem attached. PLEASE NOTE: I am seeking a specific solution for this specific review problem, as governed by the problem's conditions. PLEASE DO NOT SIMPLY PROVIDE ONLY A LINK TO A RELATED LESSON OR PROBLEM. I have already been referenced to these related links: http://farside.ph.utexas.edu/~rfitzp/teaching/jk1/lectures/n ...continues

odds

In a game of craps,the point is 5,what are the odds of rolling a 5 before a 7. Please don't send attachments because I'm having a hard time opening them.Just explain with answer. Thanks.

Box and Whisker Plots

A box and whisker plot is used to display data. Explain what box and whisker plots shows us. Provide example. Thanks.