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Beef Cattle Researchers have compared two models that are
Chapter 4, Problem 53A(choose chapter or problem)
Problem 53A
Beef Cattle Researchers have compared two models that are used to predict the weight of beef cattle of various ages,
where W1(t) and W2(t) represent the weight (in kilograms) of a t- day-old beef cow. Source: Journal of Animal Science.
a. What is the maximum weight predicted by each function for the average beef cow? Is this difference significant?
b. According to each function, find the age that the average beef cow reaches 90% of its maximum weight.
c. Find W1′(750) and W2′(750) . Compare your results.
d. Graph the two functions on [0, 2500] by [0, 525] and comment on the differences in growth patterns for each of these functions.
e. Graph the derivative of these two functions on [0, 2500] by [0 1] and comment on any differences you notice between these functions.
Questions & Answers
QUESTION:
Problem 53A
Beef Cattle Researchers have compared two models that are used to predict the weight of beef cattle of various ages,
where W1(t) and W2(t) represent the weight (in kilograms) of a t- day-old beef cow. Source: Journal of Animal Science.
a. What is the maximum weight predicted by each function for the average beef cow? Is this difference significant?
b. According to each function, find the age that the average beef cow reaches 90% of its maximum weight.
c. Find W1′(750) and W2′(750) . Compare your results.
d. Graph the two functions on [0, 2500] by [0, 525] and comment on the differences in growth patterns for each of these functions.
e. Graph the derivative of these two functions on [0, 2500] by [0 1] and comment on any differences you notice between these functions.
ANSWER:
Solution:-
Step 1 of 7
Given that
a. We have to find what is the maximum weight predicted by each function for the average beef cow? Is this difference significant?