A fluid initially at 100◦C is placed outside on a day when the temperature is −10◦C, and the temperature of the fluid drops 20◦C in one minute. Find the temperature T(t) of the fluid for t > 0.

Is there a direction u in which the rate of change of f(x,y)equals=x squared minus 3 xy plus 4 y squaredx2−3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.