Hi, I cannot figure this problem out. I would like to see how to work it. The answer in the book is 3/e, but I cannot get it. There must be a trick involved (hence the author's hint to think carefully), but I'm not sure what it is. I attached the problem. Thanks

Hi there!
I must confess that at first this problem got me bamboozled as well. I thought maybe we should use the curl theorem or something like that, to evaluate the curl of teh field on an area that we can calculate teh path ...

Solution Summary

This solution is comprised of a detailed explanation to solve vector calculus.

Concept of Partial Derivative and Thermodynamic Derivations. ... Although partial derivatives are used in vector calculus, here we are more concerned with the ...

... of axioms for geometry, trigonometry, calculus and other ... Euclidean geometry is not indicated Vector Technique In 3 ... clear how to extend these concepts to higher ...

... Fy j where i and j are the unit vectors for x ... the CM of a rigid body, use of integral calculus is required ... Why do we need the concept of centre of mass?: For a ...

... Explain the concept of drift velocity ... of electric field vector E, electric field vector points from ... ΔT or I = dQ/dT (in the language of differential calculus). ...

... E = F/ q0 (E and F are vector quantities) The charges ... either by taking the help of calculus or by ... students with a clear perspective of the underlying concepts. ...

... and public health, epidemiology, vector biology, important ... 4) Course covers genetic concepts with an ... graphical analyses, matrix algebra, calculus, and computer ...

... in their chapter 12 and 15 discussion of stochastic calculus. ... ecology, and complex systems by pairing three concepts. ... where θ is a vector of quality-adjusted ...

... you're doing a problem that uses vectors, velocity) is ... velocity, ½ (v0 + v) if you know calculus, then you ... Work can sometimes be a tricky concept, but the ...

... 2 (1) 2 the chain-rule of diﬀerential calculus to express ... of wave fre- where r is the position vector of a ... Furthermore, the concept of a plane wave I = I0 . ...