http://farm4.static.flickr.com/3293/...6bc5d8bd_o.png

my try on problem2 was take the partial devaritive eaqual to zero, get the C.P. then take the boundary point (3,2) , to find the max and min. it that right?

also, how to do problem#4?

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- Dec 3rd 2008, 09:27 AMyzc717global max an global min
http://farm4.static.flickr.com/3293/...6bc5d8bd_o.png

my try on problem2 was take the partial devaritive eaqual to zero, get the C.P. then take the boundary point (3,2) , to find the max and min. it that right?

also, how to do problem#4? - Dec 3rd 2008, 02:45 PMSoroban
Hello, yzc717;230977!

I would use Lagrange Multipliers on #4 . . .

Quote:

4. Find the points on the curve of intersection of the surfaces: .

in that are closest to the origin.

We want to minimize: .

. with the constraints: .

We have: .

Take partial derivatives and equate to zero . . .

. .

. .

. .

. .

. .

Then solve the system for: .