Recent content by Liquid7800

Sorry to resurrect an old thread, but I have recently 'discovered' the memory palace or method of loci technique(s) myself. I see great promise in retention for mathematical problem solving...in fact a colleague and myself are working on a technique to extend this memory retention technique for...

so is this like a similar identity to (a+b)^2 == a^2 +2ab + b^2 ? and in the same way could it be extended to (a+b)^n ...?

Thanks Mark, However perhaps I wasnt as clear as I needed to be... I know that: f_{xy} = \frac{\partial}{\partial y}f_x = 2 and ...what I meant was re-arranging the ORDER of partial differentiation with respect to the 'respective' variable: Not...

Ive never been one to BUMP a thread but, I really would like to know if operations on problems like these are 'legal'----I mean do these type of problems follow the elementary algebraic operations? In addition, let me know if my question does not make sense. Thanks again.

Homework Statement Hello, recently in my calculus III class we went over some problems of the following form: If 'for some given equation' show: [FONT="Book Antiqua"][SIZE="5"]x(f[SIZE="2"]x) +y(f[SIZE="2"]xy) +f[SIZE="2"]x= 0 For some examples I was playing around with the operations...

I agree with stevenb, I didnt even 'know' about differential forms approach until I started playing around with the operations and then was led to the area(s) of advanced calculus

I think thinking of new (unsolved), practical/applied problems or pioneering/discovering a new pure mathematics field require equal amounts of creativity, computer science ties very closely between the two fields. No matter the field though----someone on these forums said it somewhere a while...

Hello, I really respect what you are going for...I am going for a pure math higher education goal, and I realize you need to somewhat specialize sometime, so I want to also learn very specific subject areas along the way---and to do that I may have to do it on my own. In terms of a math...

Thanks Dick, Its always the little stuff that gets me, thanks for the explanation---I don't know how I missed that either in hindsight

Let me see, by this hint I should also have (-1,-1) and (-5,3) as well as (-1,3) and (-5,-1) as these are the total possible combination's of the four points on this xy plane?

Thanks for the reply Dick...however, all I can say is maybe regarding the polynomials for Fx and Fy x=0 and y=0 as well?, thus getting another critical point (0,0)? But I don't see how to find four though? I feel I am missing something here.

I am sorry Mark...I guess I didnt realize how difficult these might actually be for you all to check over. I have taken down a couple in response,...I will take this into consideration in the future for other homework checks ...if anyone would like to take a stab at at least one...please...

Homework Statement Hello, If you don’t mind, would you all be able to look over these problems for me? I have left out much of the ‘algebra’ work for the sake of space…so please let me know if you think there are any algebra errors. In addition I am particularly looking to see if I have set...

Thanks very much for the reply, I hadnt simplified the whole thing yet...as I wanted to see if I was on the right track...and thanks for pointing that error out...that was a typo on my part.

Homework Statement Hello, I was given this complicated partial derivative to work out: z = √( 1-( (x+y)/(xy) )2 ) + arcsin (x+y)/(x-y) find: [SIZE="4"]fx and [SIZE="4"]fy and this is my final answer taking the partial derivative with respect to 'x' only right now...which is...