- #1
alexvenk
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Member warned about posting without the template
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 direction is most rapid increase in T
I did Grad(T) to get a vector which i think is in the direction of most rapid increase (2/5,4/5)
b) what distance in this direction gives an inrease of .2 in T
c) what distance in direction i + j gives and increase of .12 in T
d) in what directions will T be stationary.
I don't want solutions, just how to go about solving the problems
Consider the funtion T in the plane (x,y), given by T=ln(x^2 + y^2)
at point 1,2
a) in which direction is most rapid increase in T
I did Grad(T) to get a vector which i think is in the direction of most rapid increase (2/5,4/5)
b) what distance in this direction gives an inrease of .2 in T
c) what distance in direction i + j gives and increase of .12 in T
d) in what directions will T be stationary.
I don't want solutions, just how to go about solving the problems