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a) The height of a mountain is given by lmy) : 25 2:52 + my 2y2 where (5t:T 3,!) belongs to the region D =
a) The height of a mountain is given by lmy) : 25 2:52 + my 2y2 where (5t:T 3,!) belongs to the region D = {(55 y) | 2:52 + 2y2 my E 25}, the base of the mountain. If you are going to climb the mountain and want to start where the mountain is the steepest, what starting point you would choose? [5] b) What are respective heights of the shortest and tallest box with the volume 1 m3 and the surface area 10 m2. [5]
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