- #1
Jeebus
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Hello! I have a math problem (mostly proofs) that I am stuck
on, partially because I do not know where to begin and partially
because I believe I don't even fully understand the problem. I
was wondering if any of you would be kind enough to show me what to
do? Thank you.
1. Suppose f(x,y) is differentiable for all (x,y), f(x,y)=17 on the
unit circle x^2+y^2=1 and grad f is never zero on the unit circle. For
any real number K, find a unit vector parallel to grad
f(cos(k),sin(k))...grad f stands for the gradient of f. But isn't it contradicting what its saying? It says f(x,y)=17 on the unit circle x^2+y^2. How the...?
I'm just supposing f(x,y) is differentiable for all (x,y), f(x,y)=17 on the unit circle x^2+y^2=1 and grad(f) is never zero on the unit circle(?) So you just find a unit vector parallel to grad f(cos(k),sin(k)), for k real, right?
PS- Do level curves apply to this problem?
on, partially because I do not know where to begin and partially
because I believe I don't even fully understand the problem. I
was wondering if any of you would be kind enough to show me what to
do? Thank you.
1. Suppose f(x,y) is differentiable for all (x,y), f(x,y)=17 on the
unit circle x^2+y^2=1 and grad f is never zero on the unit circle. For
any real number K, find a unit vector parallel to grad
f(cos(k),sin(k))...grad f stands for the gradient of f. But isn't it contradicting what its saying? It says f(x,y)=17 on the unit circle x^2+y^2. How the...?
I'm just supposing f(x,y) is differentiable for all (x,y), f(x,y)=17 on the unit circle x^2+y^2=1 and grad(f) is never zero on the unit circle(?) So you just find a unit vector parallel to grad f(cos(k),sin(k)), for k real, right?
PS- Do level curves apply to this problem?