Recent content by Jaqsan

How do I come up with the parameters x=t and y=t. There's no equation to get it from.

Homework Statement Verify Greens theorem for the line integral ∫c xydx + x^2 dy where C is the triangle with vertices (0,0) (1,1) (2,0). This means show both sides of the theorem are the same. Homework Equations ∫c <P,Q> dr = ∫∫dQ/dx -dP/dy dA ∫c xydx + x^2dy The Attempt at a...

My integral comes out to the same answer of 102.842 but your method seems a whole lot easier. I think I was just thinking too much about it. Thanks.

hHomework Statement Evaluate ∫xy|dr| over the path given by x=t^3, y=t^2, t=0...2 Homework Equations x=t^3, y=t^2, t=0...2 The Attempt at a Solution x=t^3, y=t^2 y^(3/2) =x, y=t, x=t^(3/2), t=0...4 ∫0to4 t^5/2 [Sqrt((3t^(1/2))/2)^2 +(1)^2] =∫0to4 t^5/2 [Sqrt(9t/4 + 1) dt...

Okay, Why did you add the two equations? instead of subtract like in the first one. Aren't you supposed to do the same thing to both parts? Hmmmm...I didn't know that about the final answer. Must have missed it in class. Now let's just clarify the middle part. Thanks and thanks in advance! :-).

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First thing I did was eliminate x. Rearranged the first equation to get, x+y-z=0 -------(3) Multiplied (3) through by 2 to get, 2x+2y-2z=0 -------(4) Subtracted (2) from (4) to get, 7y-z=-1 or y=(z-1)/7 ----(5) Let z=t, so I got y=(t-1)/7. Did the same thing for y, multiplying the first...

Also, it would be helpful if you solved it with the elimination method because that's the way we were shown in class.

Homework Statement Find the parametric equations for the line of intersection of two planes Homework Equations Equations for the two planes... z=x+y,-------(1) 2x-5y-z=1 -----(2) The Attempt at a Solution My answers are not correct so I guess I'm going about it the wrong way. Someone...

Homework Statement Find the mass and the center of mass of the solid E with the given density function ρ(x,y,z). E is bounded by the parabolic cylinder z = 1 – y2 and the planes x + 4z = 4, x=0, and z=0; ρ(x,y,z) =6. m=? x=? y=? z=? Homework Equations z = 1 – y2 and the planes x...

My bad. Exhibiting my retardness once again. (1,3,64) and 40 degrees.

Thanks. I figured it out. I was just being retarded. My answers are (1,3,64) and 40degrees

I thought I already did the substitution. r1' = <1,-1,2> r2' = <-1,1,16> What I'm trying is it looks like there are two numbers for each value <x,y,z>

Okay, so I got r1'(1) = <1,-1,2> r2'(8)= <-1,1,16> So do I dot them to get them in one (x,y,z) form?

I don't understand. The question asks for the point of intersection of the two curves. Do I find the derivative, dot product? Just point me in the right direction please.