Recent content by Phil Frehz

Homework Statement Evaluate ∫C F⋅dr along the line segment C from P to Q F(x,y) = 8 i + 8 j ; P (-4,4) , Q (-4,5) Homework EquationsThe Attempt at a Solution I believe I got most of the work done but I am have trouble finding the limits of the curve. What I have done was create a...

Ah I overlooked the proper solution for r. Thanks for taking the time to help me out!

Yes I discarded the imaginary solution, I have no problem solving the integrals. I only had trouble identifying the upper limit of r. Would you say that the way I solved for r was a correct solution?

So what I did was found out the value of z at the intersection point by equating both surfaces in terms of r, which led z to be either -2 or 1. When inputting z =1 i get r to also be 1 The centroid in the z direction will thus be 0 ∫2pi 0 ∫1 r2 ∫ √(2-r2) z ⋅ r dz dr dθ all divided by the...

Homework Statement Use cylindrical coordinates to find the centroid of the solid. The solid that is bounded above by the sphere x2 + y2 + z2 = 2 and below by z = x2 + y2 Homework Equations x = rcos(theta) y= rsin(theta)[/B]The Attempt at a Solution I am having trouble trying to find the...

That's how the book stated the problem, I understood it as the cylinder created when the circle x2 + y2 = 5 is extended between z=0 and z=1

Thanks for the input, I looked into it and found that v was the varying parameter, converting x and y to polar coordinates gave me the answer. Thanks again

Homework Statement Find parametric equations for the portion of the cylinder x2 + y2 = 5 that extends between the planes z = 0 and z=1. Homework Equations I can't really find any connection but I do have x=a*sinv*cosu y=a*sinv*sinu z=a*cosv The Attempt at a Solution I...

Alright great got it! Thanks for the help everyone.

Sorry added the wrong pic

Forgot to change the limits but I think I correctly included dx as d(theta)

Alright I posted some of the work but I'm having trouble with the dx and d(theta).

Hey everyone, I'm currently studying for Calc 3 and came across this integral that his been racking my brain beyond insanity. I know the solution is easier than it is. I have looked online and come across substituting to have x=2sin(theta). I also came across a step where you substitute u for...