Question

Suppose that the temperature at each point of a metal plate is given by the function f(x,y)=e^(x)cosy+e^(y)cosx (1) In what direction does the temperature increase most rapidly at the point (0,0) ? What is this rate of increase? (2) In what direction does the temperature decrease most rapidly at (0,0) (3) In what direction does the temperature show no changes? 2. Suppose that the temperature at each point of a metal plate is given by the function f(x,y)= e*cos y+ eY cos x (1) In what direction does the temperature increase most rapidly at the point (0, 0)? What is this rate of increase? (2) In what direction does the temperature decrease most rapidly at (0,0) (3) In what direction does the temperature show no changes?

          Suppose that the temperature at each point of a metal plate is given by the
function
f(x,y)=e^(x)cosy+e^(y)cosx
(1) In what direction does the temperature increase most rapidly at the point (0,0) ?
What is this rate of increase?
(2) In what direction does the temperature decrease most rapidly at (0,0)
(3) In what direction does the temperature show no changes?
2. Suppose that the temperature at each point of a metal plate is given by the function f(x,y)= e*cos y+ eY cos x (1) In what direction does the temperature increase most rapidly at the point (0, 0)? What is this rate of increase? (2) In what direction does the temperature decrease most rapidly at (0,0) (3) In what direction does the temperature show no changes?

suppose that the temperature at each point of a metal plate is given by the function fxyexcosyeycosx 1 in what direction does the temperature increase most rapidly at the point 00 what is th 00505

Added by John G.

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