- #1

alexvenk

- 11

- 0

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