The temperature in degrees Celsius on the surface of a metal plate is given by T(x, y), where x and y are measured in centimeters.

Find the direction from point P where the temperature increases most rapidly.

T(x, y) = 45 − x^2 − 4y^2, P(2, −4)

Find the rate of increase. (Round your answer to two decimal places.) ° per centimeter

Required direction is (-4,32) and rate of temperature increase is 32.25.

Step-by-step explanation:

Given equation of temperature is,

To find,

which is the direction of point.

 correct upto two desimal places.

Hence rate of temperature increase is 32.25 degree per centimeter.

answer: 20

step-by-step explanation:

answer: 140

step-by-step explanation:

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