Hello,

I'm doing my math homework for cal 3 and I need some help with the following three problems. Please show me the steps so I can find my errors.

1.

Given f(a, b) = ear + aln(ab2), find the following and make sure you simplify your answers! (a) fala, b) of ( a, b ) (b) abLet f(x, y) = 4x3y2 + 3x2y3, find: (a) Vf (1, 2) (b) f- (1,2), where u =In a room, the temperature is given by T = f (m, 3;) degrees Celsius where 9: gives the distance from the heater ( in meters) and t is the elapsed time (in minutes) since the heat has been turned on. A person standing 5 meters from the heater 3 minutes after it has been turned on observes the following: (1) At this distance, the temperature is increasing by 2 0 per minute, and (2) Walking away from the heater, the temperature decreases by 1.2C per meter as time is held constant. Estimate how much colder or warmer it would be 6 meters from the heater after 2.5 minutes