Recent content by Lute

Is there any you recommend I should try and do?

Homework Statement Where does the normal line to the paraboloid z=x^2+y^2 at the point (1,1,2) intersect the paraboloid a second time? Homework Equations The Attempt at a Solution I found the normal line to be 0=2x+2y-1, but I'm not sure what to do next.

Possibly. Assuming that they meant positive integers greater or equal than 1, would you only consider is x>0? Since the resulting number would ether be positive or negative on x<0 depending on the exponent. Or is it one of those things, were I have to ask my teacher about.

With that in mind. How you would consider the second case in terms of the restrictions on n? Since, there are many fractions that could give you a valid answer if x<0.

It would depend on the denominator of n(it has to be odd)? Like if n is1/2, where x<0. The top part would be undefined. Is that correct?

I get x^(n-1), is that right?

Homework Statement Determine the values of x for which the function, for n>=1, is increasing, decreasing, bounded below or bounded above. The function is (x^n)/n Homework Equations The Attempt at a Solution I thought about taking the derivative of the function, and setting it to 0. To find...