Arctic Foxes The age/weight relationship of male Arctic foxes caught in Svalbard, Norway, can be estimated by the function --0.020(1-66) M(1) = 3583e where t is the age of the fox in days and M(t) is the weight of the fox in grams. Source: Journal of Mammology. (a) Estimate the weight of a male fox that is 250 days old. (b) Use M(t) to estimate the largest size that a male fox can attain. (Hìnt: Find lim M(t).) (c) Estimate the age of a male fox when it has reached 50% of its maximum weight. (d) Estimate the rate of change in weight of a male Arctic fox that is 250 days old. (Hint: Recall that D,e) = f'(1)e().) (e) Use a graphing calculator to graph M(t) and then describe the growth pattern. (f) Use the table function on a graphing calculator or a spread- sheet to develop a chart that shows the estimated weight and growth rate of male foxes for days 50, 100, 150, 200, 250, and 300.

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