Five-year-old Samantha notices that, whenever her mother takes her umbrella to work, there is rain outside and she can't go out
2 answers:
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Answer:
(-24, -8)
Step-by-step explanation:
Let us recall that when we have a function f
<em>if the gradient of f at a given point (x,y) exists, then the gradient of f at this point (x,y) gives the direction of maximum rate of increasing and minus the gradient of f at this point gives the direction of maximum rate of decreasing</em>. That is
at the point (x,y) gives the direction of maximum rate of increasing
at the point (x,y) gives the direction of maximum rate of decreasing
In this case we have
and we want to find the direction of fastest speed of decreasing at the point (-3,-2)
at the point (-3,-2) minus the gradient equals
hence the vector (-24,-8) points in the direction with the greatest rate of decreasing, and they should start their descent in that direction.