4. The temperature, in degrees Celsius, at a point (x, y) on a flat plate is...

Transcribed Image Text:

4. The temperature, in degrees Celsius, at a point (x, y) on a flat plate is given by f(x, y) = 3x - 2y2, where x and y are measured in feet. Let P be the point (1, 1) on the plate. (a) Find the rate of change of temperature at P in the direction toward the point Q(4,5). (b) In which direction does the temperature decrease most rapidly at P? What is that rate of change? 4. The temperature, in degrees Celsius, at a point (x, y) on a flat plate is given by f(x, y) = 3x - 2y2, where x and y are measured in feet. Let P be the point (1, 1) on the plate. (a) Find the rate of change of temperature at P in the direction toward the point Q(4,5). (b) In which direction does the temperature decrease most rapidly at P? What is that rate of change?