Thread: Vector-Valued Function

Ok, last one for tonight, i can't believe i am stuck on this one:

Find the maximum height above the -plane of a point on


So i get the answer to be $\displaystyle zmax=2$ and the point to be $\displaystyle (0, 0, 2)$ but this answer is wrong, i know it is .something that is simple that i cannot figure out.

Thanks for your time!!

Originally Posted by Esc

Ok, last one for tonight, i can't believe i am stuck on this one:

Find the maximum height above the -plane of a point on


So i get the answer to be $\displaystyle zmax=2$ and the point to be $\displaystyle (0, 0, 2)$ but this answer is wrong, i know it is .something that is simple that i cannot figure out.

Thanks for your time!!

The maximum height occurs when t(2 - t) has it's maximum .......

Hint: The function z = t(2 - t) is a parabola with maximum turning point at (1, 1) ......

Originally Posted by Esc

Ok, last one for tonight, i can't believe i am stuck on this one:

Find the maximum height above the -plane of a point on


So i get the answer to be $\displaystyle zmax=2$ and the point to be $\displaystyle (0, 0, 2)$ but this answer is wrong, i know it is .something that is simple that i cannot figure out.

Thanks for your time!!

A thread of more than passing relevance: http://www.mathhelpforum.com/math-he...e-problem.html

Thank you my good sir.