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anonymous
 3 years ago
Give the unit vector that has the direction of maximum increase of the function .
f(x, y) at the location (−2, 1). For f(x,y)=x^2+2y^2y
anonymous
 3 years ago
Give the unit vector that has the direction of maximum increase of the function . f(x, y) at the location (−2, 1). For f(x,y)=x^2+2y^2y

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0f(2,1)=(2)^2+2*1^21

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1you will need the gradient first I think

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Yeah is the answer not the gradient divided by the mag?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0to get the unit vector? Since the max increase is in the same direction as the gradient?

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1yes, it should be gradient divided by magnitude

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1well, the gradient is the maximum direction of change; could be increase or decrease

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so how do you know if it's increase or decrease?

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1I'm actually not too sure in this case. You could do it with multivariable max/min techniques if you know them.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0alright man thanks for your help much appreciated
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