Recent content by alexvenk

(DelT = delta T (change in T)) Turns out the best way to do it for those who are interested is you use DelT = GradT . r, to get the largest change in t (highest delT) r and GradT must be in the same direction. To work out how far in a certain direcction it changes by a certain amount, set delT...

I have done part A (i think) really not sure where to begin with the rest of the parts, would appreciate a tip in the right direction, its revision for my first year physics exams in a few weeks. Consider the funtion T in the plane (x,y), given by T=ln(x^2 + y^2) at point 1,2 a) in which...

I have done part A (i think) really not sure where to begin with the rest of the parts, would appreciate a tip in the right direction, its revision for my first year physics exams in a few weeks. Consider the funtion T in the plane (x,y), given by T=ln(x^2 + y^2) at point 1,2 a) in which...

oh, i see, so dydz / dzdy then? does order matter? Thanks a bunch for your help and patience! edit:typo

ahh yeah i was wondering whether that would be right or not, itll be dydx then, which evaluates at 0 right? do i then sum all the sides?

Im not entirely certain but ill give it a shot: http://imgur.com/umVYFS3

yeah ok it makes sense that all of the sides of a cube will have a normal that is just in the directions of one of the axis Here is the question: http://imgur.com/jqJTF5h im struggling with pretty much all the questions there, but we are specifically talking about 4 here.

If i know what integral to do, i can do integration, its just a matter of knowing what I'm integrating. Is r a position vector? r.n gives us the projection of vector r onto the normal of the surface.

Homework Statement Its more of a general issue of understanding than a specific problem I have to evaluate a few surface integrals and I am not sure about the geometric significance of what I am evaluating or even of what to evaluate. Examples. If n is the unit normal to the surface S...

Fab, thanks for the response. There are infinite surfaces with that loop as the perimeter as its an open surface, and all we are given is the boundary. And no it shouldn't matter which surface we pick as we are only interested in the volume of air passing through the boundary. What now? I am...

Homework Statement Air is flowing with a speed v in the direction (-1, -1, 1,) calculate the volume of air flowing through the loop consisting of straight lines joining (in order i presume) (1,1,0) (1,0,0) (0,0,0) (0,1,1) (1,1,0) Homework EquationsThe Attempt at a Solution I assume you have to...