Recent content by veronicak5678

Thank you!

I have completed a difference table for 4 points, x0, x1, x2, x3 and found the third degree poly that goes through these four points. Now I need to know how to make the polynomial of second degree that interpolates x0, x2, and x3. Do I just need to remake the table for 3 points, now excluding...

Could you please show how you got those values? I am obviously confused about the definition. My book isn't making much sense to me.

Prove that for any positive sequence a_n of real numbers lim inf (a _(n+1) / a_n) <= lim inf (a_n)^(1/n) <= lim sup (a_n)^(1/n) <= lim sup(a_(n+1) / a_n). Give examples where equality does not hold. Is lim sup always >= lim inf? I am having trouble understanding these concept and proving...

I) x1=[.707 -.707i] x2=[.707 .707i] II) x1=[-.707i -.707] x2=[.707i -.707] III)x1=[.707 -.707i] x2=[.707 .707i] Do you mean I need to use the diagonal matrix and find the inverse of each of these?

Thanks for answering. For the eigenvalues I got: i) 1+i & 1-i ii) .5 + .5i & .5 - .5i iii) 3/5 + 4/5i & 3/5 - 4/5i Do they look OK? How do I know which stays on a circle?

Homework Statement The solution to du/dt = Au = [ 0 -1; 1 0] u (eigenvalues i and -i) goes around in a circle: u = (cos t, sin t). Suppose we approximate du/dt by forward, backward, and centered differences F, B, and C: (F) U(n+1) - U(n) = AU(n) (B) U(n+1) - U(n) = AU(n+1) (C) U(n+1) -...

Oh! There is -6C inside the outer shell. So 6C on the inner and -6 on the outer.

I think this means the inner shell answers are correct, but not the outer. Is the outer shell going to have a -8 charge on the inner radius and a positive 8 charge on the outer?

Homework Statement You have two concentric conducting sherical shells. the net charge in the inner shell is -8 C and the outer shell is neutral. In the inner hollow is placed a 2C point charge. Using Gauss's Law, find the charge on all 4 surfaces of the shells. Homework Equations...

I'm just a little confused about field lines. I have sketches of equipotentials and I'm supposed to draw the field lines on them. The one I'm looking at is a dipole with a floating electrode in the middle of the positive and neutral charge. The positive is 12V, and the floating point is 6V...

Potential? The equation with volts and radius (v = -224.1r + 22.17) is from my experiment, and the other (E = -dV/dr) is from my book.

Homework Statement How does E depend on r? Homework Equations E(r) = -dV/dr v = -224.1r + 22.17 The Attempt at a Solution dv/ dr = -224.1 E= 224.1 I need an equation that relates E and r, but r drops out when I differentiate...

Great. Thanks for looking!

OK. Thanks for helping!