Recent content by joemabloe

Homework Statement Compute the line integral of \intc ydx +zdy + xdz where c is the intersection of x^2 +y^2+z^2= 2(x+y) and x+y=2 (in the direction clockwise as viewed from the origin) Homework Equations The Attempt at a Solution While attempting this problem I had a few...

what formula did you use to find sin(2x+y)?

anyone?

I used the trig identities sin(x+y)= sinxcosy+cosxsiny and cos (x+y)= cosxcosy - sinxsiny and with that, I get the equation the previous equation multiplied out which gives me =cosxsinxcosy +cos^2(x)siny +sinxcosxcosy-sin^2(x)siny =2cosxsinxcosy +(cos^2(x)+sin^2(x))(siny-siny) =2cosxsinxcosy...

Homework Statement F(x,y)= sin(x)sin(y)sin(x+y) over the square 0< x< pi and 0< y< pi(The values for x and y should be from 0 to pi INCLUSIVE) Homework Equations The Attempt at a Solution partial derivative in terms of x = siny[cosxsin(x+y)+sinxcos(x+y)] you get y=0, pi because siny =0, but...

I already found that: partial derivative in terms of x = siny[cosxsin(x+y)+sinxcos(x+y)] you get y=0, pi because siny =0, but I don't know how to solve for the other solutions partial derivative in terms of y = sinx[cosysin(x+y)+ sinycos(x+y)] and you get x=0, pi because sinx=0 and...

Homework Statement F(x,y)= sin(x)sin(y)sin(x+y) over the square 0\underline{}<x\underline{}<pi and 0\underline{}<y\underline{}<pi (The values for x and y should be from 0 to pi INCLUSIVE) Homework Equations The Attempt at a Solution I know I need to do the partial derivatives...

Homework Statement Show that \nabla(r^n)=nr^(n-2)r if n is a position integer. (hint:use \nabla(fg)=f\nablag+g\nablaf) Homework Equations let r(x,y,z) = xi+yJ+zK be the position vector and let r(x,y,z)= |r(x,y,z)| The Attempt at a Solution I tried separating \nabla(r^n) to...