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Question: Construct a stage-matrix model for an animal species that has two life stages: juvenile (up to 1 year old) and adult. Suppose the female adults give birth each year to an average of 1.6 female juveniles. Each year, 30% of the juveniles survive to become adults and 80% of the adults survive. For k ≥ 0, let xk = (jk, ak), where the entries in xk are the numbers of female juveniles and female adults in year k
a. Construct the stage-matrix A such that xk+1 = Axk for k ≥ 0.
b. Show that the population is growing, compute the eventual growth rate of the population, and give the eventual ratio of juveniles to adults.
c. [M] Suppose that initially there are 15 juveniles and 10 adults in the population. Produce four graphs that show how the population changes over eight years: (a) the number of juveniles, (b) the number of adults, (c) the total population, and (d) the ratio of juveniles to adults (each year). When does the ratio in (d) seem to stabilize? Include a listing of the program or keystrokes used to produce the graphs for (c) and (d).
The retailer would like to analyze the sample data to determine whether a relationship exists between the time spent viewing the online catalog and the dollar amount of purchases. Compute the regression equation based on these sample data and i..
What are the key components of successful corporate governance and why is each component important?
Find the approximations T10, M10, and S10 for 0∫π 38 sinx dx. Find the corresponding errors ET, EM, and ES. How large do we have to choose n so that the approximations Tn, Mn, and Sn to the integral in part (a).
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Abby ran 3 times as many laps as Karen. Adding 4 to the number of laps Abby ran and then dividing by 7 gives the number of laps Jill ran. Jill ran 1 lap. How many laps did Karen run
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First, describe what marketing means to you. Next, answer the following question: How did you participate in marketing-related activities this past week as both a consumer and on the job?
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