Question

The temperature in degrees Celsius on the surface of a metal plate is T (x, y)...

  1. The temperature in degrees Celsius on the surface of a metal plate is

    T (x, y) = 20 − 4x^(2) − y^(2) where x and y are measued in centimeters.

    1. In which direction from the point (2, −3) does the temperature increase most rapidly?

    2. What is this rate of increase in that direction?

c.∗ How much greater is the rate of increase from (2, −3) in the direction of

the gradient, then the rate of change in the direction of v = 〈5, 0〉.

Math   Calculus   
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