Recent content by mrroboto

I'm going to be a 3rd year at the University of Chicago. I am an economics major with a concentration in mathematics. I am interested in applying to law school. Right now, I have a 3.48 GPA, I have no idea what my LSAT scores will be (thought I imagine they will be on the higher side). I...

1>0 how do you prove this? i tried by contradiction but it doesn't work suppose 1<0 then -1>0 then -1^2 > 0^2 then1>0 contradiction. but this doesn't work since -1>-2 does not imply that 1>4.

nevermind. i got it.

Homework Statement Since consumers cannot be outside the set of affordable bundles, we get the rate of exchange that consumers face provided the spend all of their budget dy/dx = -Px/Py (where Px is the price of good x, PY is the price of good y) by totally differentiating the budget...

I see. the discriminant should be a perfect square. thanks.

Homework Statement Barry has just solved a quadratic equation. He sees that the roots are rational, real, and unequal. This means the discriminant is a) zero, b) negative, c) a perfect square, d) a non perfect square Homework Equations The Attempt at a Solution I think the...

Homework Statement The microwaves in a microwave oven are produced in a special tube called a magnetron. The electrons orbit the magnetic field at 2.4 GHz, and as they do so they emit 2.4 GHz electromagnetic waves. a) what is the magnetic field strength? b) if the maximum diameter of...

Homework Statement Find 2 lines in R3 that are not parallel and do not intersect. Homework Equations orthogonal: a.b=0 parallel: a=tb The Attempt at a Solution (1,1,1) and (2,3,4) (1,1,1).(2,3,4) = 7 and there does not exist a t such that t(1,1,1) = (2,3,4)

Homework Statement Suppose that {Xn} is a sequence in R. Prove that Xn converges to a if and only if every subsequence of Xn converges to a. Homework Equations The Attempt at a Solution Let e>0, choose N in N st n >=N implies |Xn-a| <e. Since a subsequence, nk, is in N and...

Homework Statement 4.59 x 10^-4 = Sin^3(x)/Cos(x) Solve for XHomework Equations Sin(x)/Cos(x) = Tan(x) The Attempt at a Solution We can make Sin^3(x)/Cos(x) into Tan(x)Sin^2(x), but I don't think that helps... What trick do I use?

Matrix multiplication confuses me. How, for example, would I multiply these matrices: a b c d e f g h i x r s t u v w x y z ? Thanks!

Can someone explain isomorphism to me, with respect to vector spaces. Thanks!

Definition of "xy" What is "the definition of 'xy' for x,y element of Q"? For a reference point, this is listed within the subject of equivalence relations and well-definedness.

Thanks. That was very helpful.

Ok, I'll look.