Recent content by Nima

Consider the volume V bounded below by the x-y plane and above by the upper half-sphere x^2 + y^2 + z^2 = 4 and inside the cylinder x^2 + y^2 = 1 Given vector field: A = xi + yj + zk Use the divergence theorem to calculate the flux of A out of V through the spherical cap on the cylinder...

Hi, no unfortunately I haven't covered polar co-ordinates yet. mmm so yes I see that f(x, y) = r and now we have 2 circles with radii r = 4 and r = 1 respectively. Could you explain to me how to do this Q if that's ok? Thanks.

Hey, my Q is: "Integrate f(x, y) = Sqrt(x^2 + y^2) over the region in the x-y plane bounded by the circles r = 1 and r = 4 in the upper half-plane". Well, I firstly sketched out the region I get as my area in the x-y plane. I deduced that the ranges for x and y are: 0 <= x <= 4 Sqrt[1...

Hey, my Q is: "Integrate f(x, y) = Sqrt(x^2 + y^2) over the region in the x-y plane bounded by the circles r = 1 and r = 4 in the upper half-plane". Well, I firstly sketched out the region I get as my area in the x-y plane. I deduced that the ranges for x and y are: 0 <= x <= 4 Sqrt[1...

Thanks, I now understand why my range for y was wrong and yours is right. :) Sorry, my unclear wording - You have an area in the x-y plane and the volume is generated as: area * height, where height = z(x, y). :. this area is projected in 3-D up to the function z(x, y) to form a volume under...

Sorry, there seems to be confusion here, on my part at least. 1.) Your variable ranges are different to mine. Why is mine wrong, and why is yours right? 2.) What are you talking about, lower boundary? We have an area on the x-y plane and we revolve this to the function z = x^2.y to form a...

Double Integrals - Please Help! Hi, I have a question and it asks me to evaluate the volume generated by the area bounded by y = x^3 and y = x^(1/3) and the function z = x^2.y I'm just having a few problems with setting up the ranges of my variables x and y. I drew a sketch of the area in...

Hi, I have a question and it asks me to evaluate the volume generated by the area bounded by y = x^3 and y = x^(1/3) and the function z = x^2.y I'm just having a few problems with setting up the ranges of my variables x and y. I drew a sketch of the area in the x-y plane but I'm not sure what...

Given Integral (Between 0 and infinity) sin ax/sinh bx = (pi/2b).tanh[(api)/(2b)]. Calculate: Integral (Between 0 and infinity) cos ax/sinh bx dx. Any ideas? Cheers.

I really don't know where to start, I don't know how to find the asymptotes of the curve, that's a key problem...

Please could someone show me how to do this Question? I'm having difficulties, because I've barely been taught this chapter and I want to at least see how such a question is answered. Thanks.

Thanks very much, it certainly was! I understand that totally! You found the effective g acting on the pendulum by summing the individual accelerations acting on the pendulum, using vectors. Great. :)

Could anyone help me do this Q? Thanks.

Cheers Clive - Would you mind explaining (or any1 else) how you arrived at that answer? thanks.

I'm having problems finding the asymptotes.