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4. Alfred and Bruce are stranded in the Sahara desert. The contour curves of the temperature T (in C), expressed as a function of the :c and y coordinates (both in km), are sketched below in the portion of the desert they are located in. (a) (4 points) Alfred and Bruce are currently standing at the point P. The two want to move to a cooler spot as quickly as possible. Alfred thinks they should be walking in the A direction, whereas Bruce thinks they should go in the 5' direction. Which of the two is right? Give a brief explanation below. (b) (4 points) A rescue team is currently located at the point R, and is moving in the direction :- u 751?" At approximately what rate is their temperature changing with respect to their movement? In other words, estimate the directional derivative T3 at the point R