Recent content by Kiwiro0ls

A plane is defined by a normal vector and a point. It can be written as ax+by+cz=d where (a,b,c) is the normal vector and d is <(x1,y1,z1),(a,b,c)>

How do you find the intersection of two planes in R3? The direction vector would be the cross product between the two normal vectors I imagine. So, how do I go about finding a point that lies in both planes so I can find the equation of the line? Thanks :)

oh well :´(

So =xarcsin(2x2)-4∫[x2dx/sqrt(1-4x4)] and that's what I am trying to solve

Nope D: I am 100% sure it was ∫arcsin (2x^2)dx

No I am very very very sure this is the question, theres some talk amongst the class that it was typed wrong or something, apparently no one got those 15pts... anyway, I am still out of ideas and trying at it!

Just got out of a Calculus 2/ Lineal Algebra exam and I am still wondering about the first question: ∫arcsin(2×2)dx I used integration by parts letting u=arcsin(2×2) and so du=dx/sqrt[1-4x4], v=x =xarcsin(2×2) - ∫[x/sqrt[1-4x4]dx this second integral is what I can´t solve. I tried doing...

I guess there's no rotation at all unless there's friccion? boo...

If I have a sphere at rest on top of a ramp, if friccion is negligible, the only forces acting on it would be gravity and the normal force. Both of these go through it's axis of rotation which would be the spheres center. What would cause the rotation then so τ≠0?

Got it, so i happened to pick the only example in the book of a matrix with irrational eigenvalues. I'm still not so sure how to find the irrational roots of a 3rd order polynomial... i should change the name of this thread haha.

:( so the pq thing with synthetic and what-the-other-one's-name division? I don't know why i didnt think of it (but that sounds really tedious). Thanks for your help! :)

Homework Statement What are the steps to factoring 3rd order polynomials like x^3+8x^2-21x+10? It's to find eigenvalues of a matrix in linear algebra, I completely forgot how to factor and it's killing me. Homework Equations The Attempt at a Solution None, unless its a polynomial...