Recent content by een

i am getting sqrt(2)/3... what am i doing wrong?... i used the limits that you told me and I am pretty sure that i integrated correctly... can you show me step by step

okay.. this is what i got... the lower limit of x is 0 the upper limit is sqrt(2) same for y the lower limit of z is x^2+y^2 and the upper limit is 2... is that right?

Homework Statement Let a>0 be a constant. Find the average value of the function f(x,y)=x^2+y^2 1) on the square -a\leqx\leqa, -a\leqy\leqa 2) on the disk x^2+y^2\leqa^2 Homework Equations The Attempt at a Solution 1) I integrated \inta-(-a) \inta-(-a) (x^2+y^2) dxdy and got...

Triple Integral ( IS THIS RIGHT??) Homework Statement Let R be the solid enclosed by the planes x=0, y=0, z=2 and the surface x^2+y^2, where x\geq0, y\geq0. Compute\int\int\intxdxdydz Homework Equations The Attempt at a Solution I did \int0-1\int0-1\int(x^2+y^2)-2 xdzdydx...

yea i got it right now... thanks!

oh yea its 1/2x...i just typed it wrong... the rest of it is right tho?

this is what i got... for x- the lower limit is 0 and the upper limit is 2. for y- the lower limit is 2x and the upper limit is 1... is that right?

the integral of c dy would be cy so (x+y)dy would be xy + y^2/2 right? and i don't understand what the lower limit would be. i thought that the lower limit of dy would be x and the upper limit would be 1. and for x the lower limit would be zero and the upper limit would be 2...

i used x as the lower limit because it was the lower bound on the graph and in (x+y)dy i thought since it would with respect to y that the x would be zero...is that right?

Can someone tell me if I am doing this right?? mass using double integrals Homework Statement A plate occupies the triangular region with vertices (0,0), (0,1), (2,1). The mass density is given by the function \lambda(x,y) = x+y. Find the mass of the plate, Homework Equations The Attempt at a...