Find the maximum height above the -plane of a point on . ( x , y , z ) I found z to be 4. Again, this is trivial. How can I find x and y for this point? Please help!
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Originally Posted by Del Find the maximum height above the -plane of a point on . ( x , y , z ) I found z to be 4. Again, this is trivial. How can I find x and y for this point? Please help! Clearly the maximum height above the xy-plane occurs when t(4 - t) has its maximum value. Consider the parabola f(t) = t(4 - t). Not hard to see that it has a maximum turning point at t = 2. So the maximum height is 4 and occurs at the point given by r(2) .....
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