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#1 Help Me ! » Need an explanation on direction vectors! » 2007-10-15 13:40:31

skelly83
Replies: 0

We are doing direction derivatives in class and our lecturer is not really explaining much at all. I can't seem to understand how the direction vector is found at all. There is this question where the directional derivative is to be found at 1 point in the direction of another given point. I keep getting the direction vector wrong. Our lecturer didn't really clear up how the direction vector actually works and I still am not clear about itdunno. It would be greatkiss if anyone can explain to me how the direction vector for let's say the following question is found:
Find the directional derivative of f(x,y,z)=y/(x+z) at P(2,1,-1) in the direction from P to Q(-1,2,0).
PS: I know how to normalize it direction vector but I don't know how to get it dunno HELP PLEASE!

#2 Help Me ! » Need Urgent help for Markov Process!! » 2007-10-08 11:04:06

skelly83
Replies: 1

I need help with this troubling question....please~~~
Suppose there are 3 candidates, X,Y, n' Z, for the mayoralty of a town. Each week during the election campaign, candidate X loses 10% of their support to candidate Y, n' keeps the rest. Similarly each week candidate Y loses 30% of their support to candidate Z, n' keeps the rest. Similarly each week candidate Z loses 20% of their support to candidate X, n' keeps the rest. Initially support for candidates X,Y, n' Z is in the ratio of 20:20:60.
(q) Explain why this situation meets the requirements for a Markov process n' find the transition matrix A, as well as the initial state vector v0 for this Markov process.

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