Recent content by BigFlorida

So, my book (Mathematical Methods in the Physical Sciences 3rd ed by Boas) proposed a problem that I have really been struggling with: I know it is probably just an algebra mistake, but I have gone over it multiple times and cannot seem to find my mistake. Any ideas? The answer is supposed...

@micromass The project was assigned the day before Thanksgiving and my partner and I both agreed to pay for half of the project. Then he decided he did not care enough about the class for it to happen. Not that I owe you an explanation or anything. @Choppy I do understand the material very...

Odd question, but I am in a very bad situation. I will preface by saying that I am a straight A student (I have managed to make it to my junior year with my 4.0 still intact), but I have just landed in quite a terrible position. I am (or was) on track to get an A in my circuit analysis class and...

@micromass Thank you very much! I shall definitely check out all three of them.

@micromass The relevant math courses I have completed (or am taking *) are calculus I through III, Linear Algebra*, Differential Equations I*, Vector Analysis* (Including a brief intro to tensors), and Theoretical physics I*(which covers cal 2, cal 3, linear algebra, complex arithmetic, DE I...

I am very much interested in gaining an in-depth knowledge of quaternions, yet I cannot find any reviews of books on quaternions anywhere. Does anyone have any recommendations? Are Hamilton's and Tait's books my best bet?

I actually figured it out with the help of my DE textbook, the term should just be s, which actually makes a lot of sense because that is the part I was most unsure about.

@SteamKing I suppose I may have been misinterpreting that statement. I read it as "Assume that the salt is mixed uniformly with the water in the lake at all times, which implies the salt content in the lake is always uniform." I think I see why A does not imply B in this case now, thank you for...

Homework Statement Water with a small salt content (5 lb in 1000 gal) is flowing into a very salty lake at the rate of 4 · 105 gal per hr. The salty water is flowing out at the rate of 105 gal per hr. If at some time (say t = 0) the volume of the lake is 109 gal, and its salt content is 107...

@SteamKing But does it not matter that x is a function of t, and (through the relation with r) a function of y? And the only way the book's answer makes sense is if you substituted rcos(t) = ycot(t) into x^2 then differentiate that, treating 2y^2 as a constant, which knocks it out completely.

I have a multivariable function z = x2 + 2y2 such that x = rcos(t) and y = rsin(t). I was asked to find (I know the d's should technically be curly, but I am not the best at LaTeX). I thought this would just be a simple application of chain rule: ∂2/(∂y∂t) = (∂z/∂x)(ⅆx/ⅆt) + (∂z/∂y)(ⅆy/ⅆt)...

Thank you both for your responses. I see now that I was dropping the x^2 and keeping the y'(X) term. *sigh*

Also, I evaluated it using the vector definition of a line integral using Maple, and got Pi as the answer using the parameters and -Pi/2 as the answer without...

@Simon Bridge Here is my cleanest attempt. I got -Pi/2 as my answer, the book says the answer is 2 - Pi/2.

Homework Statement The parametric equations of a circle, center (1,0) and radius 1, can be expressed as x = 2cos^2(theta), y = 2cos(theta)sin(theta). Evaluate the integral of {(x+y)dx+x^2dy} along the semicircle for which y >=0 from (0,0) to (2,0). Homework Equations Perhaps Green's Theorem...