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 livinia the housefly finds herself caught in the oven 2006-06-27 Danielle pose la question :livinia the housefly finds herself caught in the oven at the point (0,0,1). the temperature at the points in the oven is given by the function T(x,y,z) = 10 (xe(-y2) + ze(-x2)) where the units are in degrees celsius. (i.)so if livinia begins to move towards the point (2,3,1) at what rate in deg/cm does she find the temp. changing? (ii.)in what direction should she move in order to cool off as rapidly as possible? (iii.)suppose that livinia can fly at a speed of the square root of 2 (cm/sec.) if she moves in the direction of part (ii) at what rate will she find the temp. to be changing? Penny Nom lui répond.

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