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A contour map is given for a function z= f (x,y) a) Is z an increasing or decrea

ID: 3345182 • Letter: A

Question

A contour map is given for a function z= f (x,y)



a) Is z an increasing or decreasing function of x? & Of y?   


(b) Is fx positive or negative?     How about fy?


(c) Is fxx positive or negative?     

How about fyy?


(d) In what direction does grad f point at point P?
in the direction

(Give a vector that points generally in the right direction.)
In what direction does grad
f
point at point Q?
in the direction
(Again, give a vector that points generally in the right direction.)

(e) Is grad f longer at P or at Q?


please explain..

Explanation / Answer

a) increasing b) Decreasing c) Negative d) Positive e) At P than at Q.

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