2y - (in Kelvin K) where (x, y) is the position of the particle x +1 Problem 1. A particle is traveling in some terrain. The temperature of the environment is defined by T = f(x, y) = (centimeters cm east and north respectively) in relation to the origin. A. The particle is currently 1 cm east and 4 cm south of the origin. Find the direction it should move so that the temperature is decreasing the most, and compute how fast the temperature is descending. B. The particle is still 1 cm east and 4 cm south of the origin. In practice, the particle moves in the direction i =< 4, -3 >. Determine how much the temperature is changing if the particle moves in the direction of 7. C. The particle is still 1 cm east and 4 cm south of the origin. Use a differential to approximate how much the temperature changes if the particle moves slightly to coordinate (0.9, –3.9). Problom 2 Lot flm Abe a difforentiable function fer all

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A: f(x,y,z)=3x-5y2+9z3-6f(9,-3,1)=3×9-5×((-3)2)+9(13)-6f(9,-3,1)=27-45+9-6f(9,-3,1)=36-51f(9,-3,1)=-15

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