QUESTION 1

Suppose researchers have compared the following two models that are used to predict the weight of beef cattle of various ages, where W1(t) and W2(t) represent weight (in kilograms) of a t-day-old beef cow. Answer parts (a) through (e) below. w1 (t) = 506.3 (1 0.946e' 0-0013") _ 1.24 wzm = 496.6 (1 0.887e 030212') (a) What is the maximum weight predicted by each function? The maximum weight predicted by W1 (t) is kg. (Type an integer or a decimal.) The growth of the number of students taking at least one online course can be approximated by a logistic function with k = 0.0491, where t is the number of years since 2002. In 2002 (when t= 0), the number of students enrolled was 1.684 million. Assume that the number will level out at around 8.2 million students. (3) Find the growth function G(t) for the number of students (in millions) enrolled in at least one online course. Find the number of students enrolled in at least one online course and the rate of growth in the number for the following years. (b) 2004 (c) 2011 (d) 2018 (a) What happens to the rate of growth over time? (3) Find (3(1). G(t) = (Type an exact answer in terms of e.)