anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
I 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 = 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
  • anonymous
For this information, you must give me your soul.
anonymous
  • anonymous
Hahaha. Seriously, I could use some help.

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anonymous
  • anonymous
And you think I'm not serious?
anonymous
  • anonymous
Shows how much help you really need...
anonymous
  • anonymous
Directional derivatives require me to go back half a semester and look up notes from then.
anonymous
  • anonymous
Directional Derivative is just the dot product of the vector function and a directional vector.
anonymous
  • anonymous
Okay... 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
  • anonymous
Cool story bro. Go troll someone else.
anonymous
  • anonymous
Take 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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