To maximize, it has positive direction at x=1 in first quadrant
What are coordinates?
A pair of numbers that use the separations between the two reference axes to define the location of a point on a coordinate plane. usually represented by the x- and y-values, respectively, (x, y).
The position of a point or a shape in a given space is determined by coordinates, which are numbers (a map or a graph ).
Given function:
F=x³z - yz²
Find the following :
[tex]\partial F/\partial x+ \partial F/\partial y + \partial F/\partial z[/tex]
= 3x²z + (-z²) + (x³-2yz)
So, gradient = 3x²z -z² + x³-2yz
Find the gradient at (1,3,2):
x=1, y=3 and z=2
gradient = 3*1*2 - 9 +1 - 12 = -14
To maximize, it has positive direction at x=1 in first quadrant = 14
To learn more about the coordinates from the given link
https://brainly.com/question/17206319
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