Recent content by cos(e)

the points are u=0 and v=-2, so is the tangent plane is Tu(0,2)*(u-0)+Tv(0,2)*(v-2)=0

ok got the first part thanks, now for the area, i know in the double integral has |J| in it somehow, how wuld i find it. I know from a mate u can do |Tu X Tv|, but i don't think we learned this, and i was wondering how wuld u do this by using jacobians, if possible. im confused coz we...

cross product

Homework Statement surface : $(u,v) is (e^u,(v^2)*(e^(2u)),2e^(-u) +v) 0<=u<=3 -4<=v<=4 find a normal in terms of u and v write down a double integral for the surface(dont solve) find equation of tangent plane to surface at (1,4,0) Homework Equations The Attempt at a Solution...

ok i forgot bout the jacobian so i tried J= |delx/delu delx/delv | |dely/delu dely/delv | and i got J=u, which gives the right answer, yet I am not sure if I am doing this right i feel i fluked the answer

Homework Statement Let D be the region bounded by x=0, y=0, x+y=1, x+y=4. Using the change on variables x=u-uv, y=uv and the jacobian, evaluate the double integral double integral of dxdy/(x+y) Homework Equations answer is 3The Attempt at a Solution i drew the graph and found the...

thanks, its just isn't the normal grad(g), or am i getting this confused with somethig else?

Homework Statement Use the surface integral in stokes theorem to find circulation of field F around the curve C. F=x^2i+2xj+z^2k C: the ellipse 4x^2+y^2=4 in the xy plane, counterclockwise when viewed from above Homework Equations stokes theroem: cirlulation=double integral of nabla...

thanks :)

Homework Statement Use parametrization to express the area of the surface as a double integral. tilted plane inside cylinder, the portion of the plane y+2z=2 inside the cylinder x^2+y^2=1 Homework Equations the area of a smooth surface r(u,v)=f(u,v)i+g(u,v)j+h(u,v)k a<=u<=b...

thanks

quick question, is the difference between a carnot engine to an engine is that the engines eff is less than or equal 1-(cold temp / hot temp), and the carnot is the max of this which is just equal 1-(cold temp / hot temp)?

ok i get the answer with p=k(hat) now I am sure why I am letting p=k(hat), is it because p is the normal to the area of the double intergral i take, in this case the x-y plane with theta varying from 0 to pi/2 adn r varying from 0 to a?

Homework Statement find the flux of the field F(vector) across the portion of the sphere x^2+y^2+z^2=a^2 in the first octant directed away from the origin Homework Equations F(x,y,z)=zk(hat) The Attempt at a Solution i used Flux=double integral over x-y plane F.n(unit...

do we use delta H= n*Cp* delta T even when the pressure is not constant? What do u mean by reversible process, i havnt learned that yet :S