Question: Problem 1 : Suppose f ( x , y ) is a function of two variables. a ) Why is gradf = f x vec

Problem 1: Suppose f(x,y) is a function of two variables.
a) Why is gradf=fxvec(i)+fyvec(j), instead of, for instance, fyvec(i)+fxvec(j)?
b) Why is gradf perpendicular to all its level curves?
Problem 1 : Suppose f ( x , y ) is a function of

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