- #1
BennyT
- 21
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Homework Statement
Let f(x,y)=arctan(x/y) and u={(√2)/2,(√2)/2}
d.) Verify that ∇fp is orthogonal to the level curve through P for P=(x,y)≠(0,0) where y=mx for m≠0 are level curves for f.
Homework Equations
The Attempt at a Solution
∇f={(y)/(x^2+y^2),(-y)/(x^2+y^2)}
m=1/tan(k) where k=f(x,y) and tan(k)≠0
I'm stuck and very confused. The homework is doomed and turned in, but I still really want to understand how to think about problems like this one. Any help is appreciated.