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anonymous
 5 years ago
T(x,y,z) = 1/(1 + x^2 + y^2 + z^2)
where T is measured in degrees Celsius and x,y,z in meters. In which direction does the temperature increase fastest at the point (1,1,2)? What is the maximum rate of increase?
anonymous
 5 years ago
T(x,y,z) = 1/(1 + x^2 + y^2 + z^2) where T is measured in degrees Celsius and x,y,z in meters. In which direction does the temperature increase fastest at the point (1,1,2)? What is the maximum rate of increase?

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I could a brief explanation of what to do, don't have to give a full explanation just get me started. Already found the gradient vector of T, plugged in the point, used my own directional vector u = <x,y,z> to get a new function F as a function of the derivative in any given direction, tried to maximize and failed. ended up with gradient(F) = <1/22, 1/22, 1/11> What now?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0For this information, you must give me your soul.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Hahaha. Seriously, I could use some help.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0And you think I'm not serious?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Shows how much help you really need...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Directional derivatives require me to go back half a semester and look up notes from then.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Directional Derivative is just the dot product of the vector function and a directional vector.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Okay... And... Doesn't help me at all/you don't know what I'm talking about. Give me your soul if you want help or else start crying.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Cool story bro. Go troll someone else.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Take the magnitude of your gradient vector to find maximum rate of change, it seems like you already know what to do.
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