Recent content by a255c

Homework Statement The cylinder x^2 + y^2 = 1 intersects the plane x + z = 1 in an ellipse. Find the point on the ellipse furthest from the origin. Homework Equations $f(x) = x^2 + y^2 + z^2$ $h(x) = x^2 + y^2 = 1$ $g(x) = x + z = 1$ The Attempt at a Solution $\langle 2x, 2y, 2z \rangle...

10... so it's 2(1 + 2 + 3 + 4 + 5)/36? That's 30/36 though

Oh, i see what you are saying. So then I evaluate for n_j/36 for the two sums? I did 2(1+2+3+4+5+6+7)/36 but this does not equal 1 I have modified my answers to this http://puu.sh/o111N/1376d907c3.png

S' is 36, but I still don't understand how you got 2 and 7 specifically.. If I split S' into A and S'-A, then I say something like \sum{i \in A} + \sum{i\in S'-A} = \sum{i \in S}? I'm not sure how splitting could help me for part d)i.

I'm trying to prove property 1 for d)i. I don't really understand how you get j = 2 and j = 7 though for the sums or where you get the two sums from to begin with.

I have used your suggestions and have fixed my answers to this: http://puu.sh/nZZZl/d243480f50.png but I did not know what you mean about splitting the sums for d)ii, and I'm still unsure how to do d)i

Homework Statement http://puu.sh/nYQqE/2b0eaf2720.png Homework Equations http://puu.sh/nYSjQ/e48cad3a8b.png The Attempt at a Solution http://puu.sh/nYYjW/174ad8267c.png My main issue is with part b) and part d). I think that part b) is mostly right, but part d) is definitely wrong and...