Recent content by ythamsten

It surely did zoki85! Thanks a lot.

I'm currently having some trouble, after the procedure of finding the actual values for the multipliers and the points, but how come can I figure out whether which points that I've collected are maxima, minima or just saddle ones. I've taken a look on lots of books, but I can't seem to find...

Good evening guys, next period I'm going to take Calculus II at the University, but turns out that in my university they split it in Calculus II-A and II-B. The topics covered in each are basically those: Calculus II-A: Definite Integral, Techniques of integration, Improper integrals, first...

Hm, I'm going to try that indeed... I guess the right answer would be n≥11. I think I would be able to find somewhere an answer model, since it was a question in a Math Olympiad. If you are interested let me now.

Well, I can see that after you apply the transformation on the circle, we expand vectors in the (1,1) by a factor of 2, and contract the ones in the (1,-1) direction by a factor of two either. Then, the image of the circle after applying T n times is limited by an ellipse centered at the origin...

Homework Statement Hey PF, I'm here again asking about linear transformations, ha ha. Let C={(x,y) \in \mathbb R2 | x²+y²≤1} a circle of radius 1 and consider the linear transform T:\mathbb R2→\mathbb R2 (x,y) \mapsto (\frac{5x+3y}{4},\frac{3x+5y}{4}) Find all values of a natural n for...

Hm, that's very nice to know about the scaling and orientation fact. My work with determinants back when I took linear algebra was more theoretical and I couldn't stand calculating them in higher order matrices. Always runned alway from it, hahaha. But in this case, I found this a more...

Thanks guys, I was able to figure out better how to do looking up what happened to the boudaries, indeed. Took T(0,0)=(0,0), T(2,0)=(18,10), T(0,2)=(6,4), T(2,2)=(24,14). The problem before was that I was doing exactly this, but was unable to realize that the transformed region is a...

Homework Statement Let T:R2→R2 be the linear transformation such that T(x,y)→(9x+3y,5x+2y). Let R be the region on the plane defined as {(x,y) \in R2/ 0≤x≤2 and 0≤y≤2 }. Consider the region T(R) \subset R2, which is the image of the region R by the linear transform T. What is the area of the...

This might be of interest: http://erps.spacegrant.org/uploads/images/images/iepc_articledownload_1988-2007/2011index/IEPC-2011-261.pdf And for some other alternatives, take a look at the wikipedia page (http://en.wikipedia.org/wiki/Electrically_powered_ spacecraft _propulsion) for a start...

Hello, I'm an undergrad of Electrical Engineering and I'm planning to participate, if not at the end of this year, in the end of the next, of a program called "Science without Borders". In this program, I'll be able to attend to a university of other country for a year, what they call here...

A tip is to see x=-z as (x-0)/1 = (z-0)/-1.

Thank you very much guys, this returned questions were very clarifying and didatic. I imagine for (1) two piecewise functions, f(x):= -1 if x<0; 1 if x≥0, and g(x):=1 if x< 0; -1 if x≥0. As x approaches 0, they are clearly not limited, but (f+g)(x) has a limit, and it is 0 (as seen by the side...

(1)If the limit of f(x), as x approaches a point a doesn't exist, and the limit of g(x), as x approaches a point a doesn't exist either, the limit of (f+g)(x) and (fxg)(x), as x approaches a point a can possibly exist? (2)If the limit of f(x) as x approaches a and the limit of (f+g)(x), as x...

What you said Jake, reflects exactly what has been in my mind... I just want to apologize for my misplacement: I don't want to be a teacher in a classroom, giving lectures on things that I love for people that seem to don't be interested at all on that (this is the way people over here seems)...