Recent content by yolanda

Thanks for your response. Okay, that makes more sense. So, to get my final answer I should be adding the results of the 4 line integrals, right? So far, for the line segment from (1,1) to (-1,1) I'm getting: x=t y=1 r(t)=ti+j r'(t)=i+0 F(r(t))=ti+j So...

Homework Statement First off, sorry this isn't symbolized correctly. I've wrestled with this for a half hour, so here it is in crude type: Calculate \intc F*n ds for F(x,y)=xi+yj across the square curve C with vertices (1,1), (-1,1), (-1,-1), and (1,-1). Homework Equations above...

Oh ok, I think I get that part now. -a/3 <= z <= a/3 -sqrt[(a^2-9z^2)/4] <= y <= sqrt[(a^2-9z^2)/4] -sqrt[4a^2-16y^2-36z^2] <= x <= sqrt[4a^2-16y^2-36z^2] So, now that I have my intervals for both shapes, what comes next? I need the volume of the ellipsoid, but only the part that's within...

So, for the ellipsoid, should it be the following?: -a<=z<=a -sqrt[-x^2-4(9*z^2-a^2)]/4 <=y<= sqrt[-x^2-4(9*z^2-a^2)]/4 (shouldn't have x values...hmmm) I'm a bit lost here :confused: Would someone mind setting up the triple integral for me? I think having a look at the final product...

I was considering spherical as well. That would work. I'm not picky on which coordinate system we use.

Homework Statement I need to set up the triple integral to find the volume of the region bounded by the sphere: x^2+y^2+z^2=a^2 and the ellipsoid: (x^2/4a^2)+(4y^2/a^2)+(9z^2/a^2)=1. Homework Equations above The Attempt at a Solution I'm not sure which interval I should be using here. I...

Thank you for your response. This may sound a bit stupid, but I want to make sure I'm getting the right force here... Weight is the mass of an object with a force acting upon it. I'm not sure how much the equations f=ma and weight=m*gravity "overlap", if you will. Can I just say...

Homework Statement An object weighing 1.2 pounds travels along a helix given by x=cost, y=sint, z=4t, 0<=t<=8pi. Find the work done by the object. Let's keep this in ft. Homework Equations g=32.174 ft/s2 f=m*g f=w*d The Attempt at a Solution r(t)=cos(t)i+sin(t)j+4(t)k I know I need an F...