Recent content by UziStuNNa

Hello everyone, I am a Junior at KU, and taking a Mechanics course in Physics. I'm a Math major going for a B.S. and taking this course for my applied math requirement. The book used is Classical Dynamics of Particles and Systems 5th Ed. by Thornton. We just got our first exam...

So its like doing the left-hand and right-hand limits, except we are using the piece-wise function to our advantage knowing that x can be rational and irrational, and since there are an infinite number of rational and irrational numbers approaching zero, those are our 'left' and 'right'...

For rational, f'(0)= lim[h->0] f(h)/h= h/h=1 For irrational, f'(0)= lim[h->0] f(h)/h= 0/h=0 Therefore, the two limits do not equal each other, meaning that f'(0) does not exist? Was it that easy?

1. Suppose f(x)=0 if x is irrational, and f(x)=x if x is rational. Is f differentiable at x=0? 2. the derivative= lim[h->0] [f(a+h)-f(a)]/h 3. I don't really know how to start, but I do know that between any two real numbers, there exists a rational and irrational number. So I'm...

Thank you for the help, but one more question... Do I need to multiply the gradient of F(x,y) by the unit vector to find the direction of greatest ascent?

Delete please.

W_1(t)= g(t)(y_2(t)y_3'(t)-y_3(t)y_2'(t)) W_2(t)=-g(t)(y_1y_3'-y_3y_1') W_3(t)=g(t)(y_1y_2'-y_2y_1') Then, u_1(t)=\int(W_1/W) and so forth for u_2[\tex] and [tex]u_3

Well I'm not sure how to start it off.

Homework Statement http://img27.imageshack.us/img27/6083/variationofparametersfop.jpg