Recent content by doppelganger007

hmm...I may try that if I can't find an alternative, but is there any way to do this problem with a double integration and not a triple integration? because the section I'm working with is strictly double integration

Homework Statement Find the volume of the region inside the surface z=x^2+y^2 and between z=0 and z=10 Homework Equations x^2+y^2=10 The Attempt at a Solution I know that I have to use some sort of double integration to find this volume, but I'm not really sure where to begin...

Homework Statement Suppose that the isotherms in a region are all concentric spheres centered at the origin. Prove that the energy flux vector field points either toward or away from the origin. Homework Equations J = - k (del)T The Attempt at a Solution so I know that -(del)T is...

oh. duh! gratzie

oh ok, so if I integrate that again I get that c(t) = Ct + D, which fits the general equation for a line but then, does that also prove that c(t) could just be a single point?

Homework Statement Let c be a path in R^3 with zero acceleration. Prove that c is a straight line or a point. Homework Equations F(c(t)) = ma(t) a(t) = c''(t) The Attempt at a Solution so i know that since the acceleration is zero, the velocity must be constant, and when you...

great! that helps me understand the issue of parameters does my logic look okay too?

^^ anyone that can help confirm my work?

^^ subquestion assuming I did everything right, do I use a different parameter for my new equation, or do I have to use the same one in order for the two lines to intersect?

OK, so I looked ahead in the book and figured out how to solve for the equation of a plane, so using the fact that the line points in the direction of the vector (1, 1, 1) = (A, B, C), the equation of the plane to which that vector is perpendicular would be A(x - x0) + B(y - y0) + C(z - z0) =...

does that mean finding an equation for the plane? what you're saying makes sense, but I don't really know anything about finding the equations of planes...

oh boy oh boy, i still need help! please!

is the original supposed to be sec(pi)(2x+1) = 2?

OK so I read over the advice you guys gave me and I'm still a little confused, so what I went ahead and figured out was that the equation of a line l(t) = a + tv, where x = x1 + at y = y1 + bt z = z1 + ct and a = (x1, y1, z1) and v = (a, b, c) where the line points in the direction of v...

Homework Statement Find the line through (3, 1, -2) that intersects and is perpendicular to the line x = -1 + t, y = -2 + t, z = -1 + t. Homework Equations line l through P (x1, y1, z1) and Q (x2, y2, z2) has the following form x = x1 + (x2 - x1)t y = y1 + (y2 - y1)t z = z1 + (z2 -...