Recent content by sriracha

Thanks Ivy. This was from the first set of problems on the topic I have worked so I was not sure I was solving it correctly, but looks like I did. The solution in the back of the book must be incorrect. What do the open and closed envelopes next to the threads signify?

Please open this again as the last poster closed it because he or she misread the equation.

It's (D-x).

[b]1. (D+1)(D-x)(2e^x+cosx) [b]2. None [b]3. (D+1)(D-x)(2e^x+cos(x))=D(2e^x-sinx-2xe^x-xcosx)+1(2e^x-sinx-2xe^x-xcosx)=-4e^x+2e^x-xcosx-2cosx+xsinx-sinx The correct answer is 2e^x(xsinx-3sinx+2xcosx)

Okay so I figured this out, but I had to read into the next chapter to do so. This is from Div, Grad, Curl, which really should be called Div, Curl, Grad. Why would Schey ask this problem before you get to gradient and how would he expect you to find it otherwise? Can anyone think of another...

Problem statement attached. The correct way to do this seems to plug in your given x, y, z into F then integrate the dot product of F and <x',y',z'> dp from 0 to 1, however, this results in way too messy of an integral. Answer is 3/e...

thanks

Just to be sure, can someone confirm the file opens/ is legible?

That's what I said.

I have attached a file with all needed information including the function and path of integration. My work seems right to me, but the correct answer is a^2. Will someone please take a look and show me where my misstep is.

Also realized this is a "textbook type" problem so you can move it if you want.

Yay me! Where I found x = deltay - h/deltah and y = h/deltah I realized I could replace the x and ys with F_x and y with F_y then integrate over dh.

That doesn't seem right either because then I'm left with F_y - F_x and I to integrate over h I think I would need to parametrize F_y and F_x. Even if I do, I am left with F_x and F_y of (deltay - h / deltah). I need a respective F_y (x,y,z) *deltay - F_x (x,y,z) * delta x and guess I have no...

By the way I arbitrarily chose the midpoint of the hypotenuse as my (x,y,z) although I realize now it would make things a bit clearer if I had chosen (x_{0},y_{0}, z_{0}). I'm pretty certain this should have no bearing on the work I did on the left. I am wondering If I can go ahead and...

The problem is attached and I have uploaded my work here: http://i39.tinypic.com/kbd4s4.jpg (I wanted to put it in high resolution and the file was too big for PF).