The median weight of a baby chimpanzee whose age is between 0 and 36 months can be approximated by the function w(t) = 6.34 + 1.71t - 0.0515t
2 + 0.000698t
3, where t is measured in months and w is measured in pounds.
Use this approximation to find the following for a baby chimpanzee with median weight:
(i) The rate of change of weight with respect to time.
(ii) The weight of the baby chimpanzee at age 10 months (rounded to the nearest pound).
(iii) The rate of change of the baby's weight with respect to time at age 10 months (rounded to the nearest hundredth).
◦ (i) w'(t) = 1.71 - 0.0515t + 0.001396t
2;
(ii) w(10) is about 19 pounds;
(iii) w'(10) is about 1.33 pounds/month
◦ (i) w'(t) = 1.71 - 0.103t + 0.002094t
2;
(ii) w(10) is about 19 pounds;
(iii) w'(10) is about 0.89 pounds/month
◦ (i) w'(t) = 1.71 - 0.1545t + 0.002792t
2;
(ii) w(10) is about 19 pounds;
(iii) w'(10) is about 0.44 pounds/month
◦ (i) w'(t) = 1.71 + 0.103t - 0.002094t
2;
(ii) w(10) is about 19 pounds;
(iii) w'(10) is about 2.53 pounds/month
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Wild baby Wallaby (Macropus agilis) in mother's pouch
3-month-old baby in one of Rovee-Collier's memory experiments