# Vector-Valued Function

• May 9th 2008, 10:57 PM
Esc
Vector-Valued Function
Ok, last one for tonight, i can't believe i am stuck on this one:

Find the maximum height above the https://webwork.math.lsu.edu/webwork...4304f3b401.png-plane of a point on
https://webwork.math.lsu.edu/webwork...6513544531.png

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

• May 9th 2008, 11:15 PM
mr fantastic
Quote:

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 https://webwork.math.lsu.edu/webwork...4304f3b401.png-plane of a point on
https://webwork.math.lsu.edu/webwork...6513544531.png

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

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) ......
• May 9th 2008, 11:22 PM
mr fantastic
Quote:

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 https://webwork.math.lsu.edu/webwork...4304f3b401.png-plane of a point on
https://webwork.math.lsu.edu/webwork...6513544531.png

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