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.
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.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text: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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