Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
allsmiles
Group Title
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
 2 years ago
 2 years ago
allsmiles Group Title
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
 2 years ago
 2 years ago

This Question is Closed

surdawi Group TitleBest ResponseYou've already chosen the best response.1
plug in x and y
 2 years ago

surdawi Group TitleBest ResponseYou've already chosen the best response.1
f(2,1)=(2)^2+2*1^21
 2 years ago

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

allsmiles Group TitleBest ResponseYou've already chosen the best response.0
Yeah is the answer not the gradient divided by the mag?
 2 years ago

allsmiles Group TitleBest ResponseYou've already chosen the best response.0
to get the unit vector? Since the max increase is in the same direction as the gradient?
 2 years ago

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

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

allsmiles Group TitleBest ResponseYou've already chosen the best response.0
so how do you know if it's increase or decrease?
 2 years ago

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

allsmiles Group TitleBest ResponseYou've already chosen the best response.0
alright man thanks for your help much appreciated
 2 years ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.