Recent content by tsw303

... I may have just figured it out. I am confused about the normal line to the tangent plane because when the equation is f(x,y), x=x.+fx(x.,y.)t , y=y.+fy(x.y.)t , yet z=f(x.,y.)-t . When the equation is in the form of f(x,y,z), I guess "z" must be the same as "x" and "y" such that...

Thank You. Now that you mentioned the length and direction of the vector, I can understand the answers in my text-book (such as dividing by 4 or -8). I initially got the same answers as you (but in the first, isn't it x=-3 -6t ?). Is "veci" the unit vector i ? However, where I'm really...

Homework Statement I have two problems that don't seem to match. The task is to find the parametric equation for the normal line to the tangent plane. I'm seeing that the vector value of "z" is (-1) with one formula, but not in the other. These two seem to be the same, but the first was solved...

(...pardon me) Is zero a positive number?

Thank you. Much appreciated. What about the term "positive series"? The convergence tests call for positive series, but problem 2 has a_1 = 0. I can use a_n+1 for the proof, but do I have to?

Homework Statement Convergent/Divergent? Problem 1: infinite series, sigma(n=1) [1/((n^2)-n) This one is clearly convergent, however it is undefined at n=1. Is the whole problem undefined? Or is it convergent from (n=2)? Problem 2: infinite series, sigma(n=1) [ln(n)/n] This is...

Homework Statement limit approaching infinity: (arcsin(x))/(x) = 0 Question is: Why? The 'Sandwich Theorem' 0=[(arcsinx)/x]=0 gives this solution, but looking at the graph of (arcsinx)/x , this appears impossible. Homework Equations lim x->OO [arcsin(x)] - {DNE) lim x->OO...