Question

find absolute max and min

Answer 1

for function f(x,y)=x^2-2xy+2y

on rectangle R=[0,2]x[0,2]

Answer 2

I don't know how to do this... But I'd like to learn

Any idea what concept you are supposed to use? Lagrange multipliers?

And how does R represent a rectangle??

Answer 3

crit points

Answer 4

Critical point are points where all partial derivatives are zero...

Answer 5

ya thats the first step

Answer 6

Then there's a second derivative test...with which u can tell if the points are max or min

Answer 7

But I don't know what to do with the rectangle

Answer 8

do you know how to interpret R=[0,2]x[0,2] as a rectangle?

Answer 9

im the one that asked the question, so no.

Answer 10

well for that part actually its just

Answer 11

similar question

http://openstudy.com/users/baru#/updates/56445955e4b01c719e6fa18d