Consider a species of elk that can be split into 4 age groupings: those aged 0-1 years, those aged 1-2 years, and those aged 2-3 years, and those aged 3-4 years. The population is observed once a year. Given that the Leslie matrix is equal to 0 1.1 1.7 0.8 0 0 1.3] 0 L= 0 0.6 0 0 0 0 0.2 0 and the initial population distribution is 40 of the first age group, 17 of the second age group, 10 of the third group, and 5 of the oldest age group, answer the following questions. The initial population vector is x0 = How many elk aged 1-2 years are there expected to be after 10 years? How many elk aged 0-1 years are there expected to be after 20 years? How many elk are there expected to be after 30 years? Calculate the dominant eigenvalue of the Leslie matrix good to 3 decimal places. λ1 = What is the long-term growth rate of this population of elk as a percent? growth rate = over/under 100%.) Are the elk thriving, static, or going extinct? ? (The growth rate is the percentage of growth

Solve for the general solution of the equation: 2x’’+ 200x = 0. Show all math steps.

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6. For the given matrix M, shown below, find M. Please show your work and do not use the graphing calculator. M%3= 1 ftiokot prices 55

Please answer part 3 of this question. In desperate need of help

29. In a fictional town, there are two restaurants, which we will call A and B for ease of reference. If someone eats at restaurant A on one day, there is a 76% chance they will eat there again tomorrow. And if someone eats at restaurant B on one day, there is a 82 % chance they will eat there again tomorrow. Which one of the transition matrices below correctly represents this situation? a) A B A 0.76 0.34 B 0.18 0.82 b) A B A 0.76 0.24 B 0.18 0.82 c) A B A 0.76 0.24 B 0.08 0.82 d) A B Main Content A 0.24 0.76 B 0.82 0.18 e) None of the above.

A population with three age classes has a Leslie matrix L = compute x₁, x₂, and x3. X1 = x3 = 600 90 80 1010 H 540 72 1838 909 57.6 1 0.9 0 14 0 0 0.8 0 If the initial population vector is xo = 100 100 100

The following is the breakdown of male patients with high blood pressure, high cholesterol, and diabetes at a medical center by age. Each condition is independent and no patient on the table has multiple conditions. 25-29 30-39 40-49 50-59 +09 High Blood 0.08 0.22 0.01 0.04 0.05 Pressure High 0.02 0.05 0.08 0.09 0.10 Cholesterol Diabetes 0.01 0.05 0.05 0.08 What is the probability a patient has high blood pressure if they are between the age of 40-49?