in Calculus recategorized by
0 votes
0 votes

 A scalar function in the $xy$-plane is given by $\phi \left ( x,y \right )=x^{2}+y^{2}$. If  $\hat{i}$ and $\hat{j}$ are unit vectors in the $x$ and $y$ directions, the direction of maximum increase in the value of $\phi$ at $(1,1)$ is along:

  1. $-2\hat{i}+2\hat{j}$
  2. $2\hat{i}+2\hat{j}$
  3. $-2\hat{i}-2\hat{j}$
  4. $2\hat{i}-2\hat{j}$
in Calculus recategorized by
7.9k points

Please log in or register to answer this question.

Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
Welcome to GATE Chemical Q&A, where you can ask questions and receive answers from other members of the community.