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The Temperature at the Point on a Metal Plate

Question 49

Multiple Choice

The temperature at the point The temperature at the point   on a metal plate is modeled by   ,   . Find the direction of greatest increase in heat from the point   . ​ A)  The greatest increase is in the direction of the gradient   . ​ B)  The greatest increase is in the direction of the gradient   . ​ C)  The greatest increase is in the direction of the gradient   . ​ D)  The greatest increase is in the direction of the gradient   . ​ E)  The greatest increase is in the direction of the gradient   . ​ on a metal plate is modeled by The temperature at the point   on a metal plate is modeled by   ,   . Find the direction of greatest increase in heat from the point   . ​ A)  The greatest increase is in the direction of the gradient   . ​ B)  The greatest increase is in the direction of the gradient   . ​ C)  The greatest increase is in the direction of the gradient   . ​ D)  The greatest increase is in the direction of the gradient   . ​ E)  The greatest increase is in the direction of the gradient   . ​ , The temperature at the point   on a metal plate is modeled by   ,   . Find the direction of greatest increase in heat from the point   . ​ A)  The greatest increase is in the direction of the gradient   . ​ B)  The greatest increase is in the direction of the gradient   . ​ C)  The greatest increase is in the direction of the gradient   . ​ D)  The greatest increase is in the direction of the gradient   . ​ E)  The greatest increase is in the direction of the gradient   . ​ . Find the direction of greatest increase in heat from the point The temperature at the point   on a metal plate is modeled by   ,   . Find the direction of greatest increase in heat from the point   . ​ A)  The greatest increase is in the direction of the gradient   . ​ B)  The greatest increase is in the direction of the gradient   . ​ C)  The greatest increase is in the direction of the gradient   . ​ D)  The greatest increase is in the direction of the gradient   . ​ E)  The greatest increase is in the direction of the gradient   . ​ . ​


A) The greatest increase is in the direction of the gradient The temperature at the point   on a metal plate is modeled by   ,   . Find the direction of greatest increase in heat from the point   . ​ A)  The greatest increase is in the direction of the gradient   . ​ B)  The greatest increase is in the direction of the gradient   . ​ C)  The greatest increase is in the direction of the gradient   . ​ D)  The greatest increase is in the direction of the gradient   . ​ E)  The greatest increase is in the direction of the gradient   . ​ .

B) The greatest increase is in the direction of the gradient The temperature at the point   on a metal plate is modeled by   ,   . Find the direction of greatest increase in heat from the point   . ​ A)  The greatest increase is in the direction of the gradient   . ​ B)  The greatest increase is in the direction of the gradient   . ​ C)  The greatest increase is in the direction of the gradient   . ​ D)  The greatest increase is in the direction of the gradient   . ​ E)  The greatest increase is in the direction of the gradient   . ​ .

C) The greatest increase is in the direction of the gradient The temperature at the point   on a metal plate is modeled by   ,   . Find the direction of greatest increase in heat from the point   . ​ A)  The greatest increase is in the direction of the gradient   . ​ B)  The greatest increase is in the direction of the gradient   . ​ C)  The greatest increase is in the direction of the gradient   . ​ D)  The greatest increase is in the direction of the gradient   . ​ E)  The greatest increase is in the direction of the gradient   . ​ .

D) The greatest increase is in the direction of the gradient The temperature at the point   on a metal plate is modeled by   ,   . Find the direction of greatest increase in heat from the point   . ​ A)  The greatest increase is in the direction of the gradient   . ​ B)  The greatest increase is in the direction of the gradient   . ​ C)  The greatest increase is in the direction of the gradient   . ​ D)  The greatest increase is in the direction of the gradient   . ​ E)  The greatest increase is in the direction of the gradient   . ​ .

E) The greatest increase is in the direction of the gradient The temperature at the point   on a metal plate is modeled by   ,   . Find the direction of greatest increase in heat from the point   . ​ A)  The greatest increase is in the direction of the gradient   . ​ B)  The greatest increase is in the direction of the gradient   . ​ C)  The greatest increase is in the direction of the gradient   . ​ D)  The greatest increase is in the direction of the gradient   . ​ E)  The greatest increase is in the direction of the gradient   . ​ .

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