LK[]Rkthe number of owls in the area studied, and R is the number (in thousands) of wood rats in the area studied.Suppose Lk + 1 = (0.3)Lk + (0.6)Rk and Rk+ 1 = (-0.2)Lk +(1.1)Rk. Determine the evolution of this system. (Give aformula for XK.) Does the owl population grow or decline? Does the wood rat population grow or decline?Denote owl and wood rat populations in a particular area at time k by xk =Give a formula for xk for this system. Choose the correct answer below.(0.5)1[3]+၈][13]. [:]kqtx[]•gaz[3]+ C₂ (0.3) kC₁(1.1) k[]+200 [³](0.5)O A. Xk=C(0.9)k|<-merO B. Xk=c,(1.1)k|O C.O D. X = C,(0.9)k|where k is the time in months, Lk is

Given system in matrix formwhich is of the form where

Answered: enote owl and wood rat populations in a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A detective is called to the scene of a crime where a dead body has just been found. She arrives on the scene at 10:23 pm and begins her investigation. Immediately, the temperature of the body is taken and is found to be 80-F. The detective checks the programmable thermostat and finds that the room has been kept at a constant 68-F for the past 3 days. After evidence from the crime scene is collected, the body's temperature is taken once more and found to be 78.5-F. This last temperature reading was taken exactly a quarter after 11:01 pm. Assuming that the victim's body temperature was normal (98.6-F) before death, calculate the rate constant k 1.5195x10-³ min 2.5195x10-3 min 3.5195x10-3 min 2.1004x10-³ min what time did the victim die? 01:05 pm O 2:56 pm O 3:23 pm 4:12 pm
Model the following data using an exponential function of the form f(x) = Ab". You need to do this rigorously, that is, set up a system of equations, and solve it to get A and b. Getting the right answer by guessing will earn no credit. (a) f(x) is exponential and goes through the points (1, 2) and (4,6). (b) f(x) is exponential and goes through the points (2, 75) and (5, 9375).
2 | Find [A]-1 if A = 5 Lo %3D -1 3
How does the discrete logistic growth model (Ricker) vary from that of deterministic form? Are there differences in the predictions as the input parameters change? K= 300 r= 0.5 N= 5 Time= 50
From 2000 through 2009, the population of State A grew more slowly than that of State B. Models that represent the populations of the two states are given by P = 37.5t + 6075 State A P = 168.2t + 5138 State B where P is the population (in thousands) and t represents the year, with t = 0 corresponding to 2000. Use the models to estimate when the population of State B first exceeded the population of State A. (Round your answer to the nearest year.)
_) Jane bakes sourdough loaves, which are full of gluten. Unfortunately, John is allergic to gluten and wants to bake gluten-free loaves. John does not have their own “starter” (a mix of yeast, flour, and water that makes a loaf rise in the oven). Jane's starter is 50g of water and 50g of flour with gluten, and a microscopic amount of yeast that we will ignore. Jane gives John 50g of her starter. For John's first loaf, they replace the missing half of their starter with 25 g of gluten-free flour and 25g of water. This means their starter is now 25g of gluten-free flour, 25g of flour with gluten, and 50g of water. Once the yeast in this starter is fully activated, John is ready to make their first loaf. To bake the loaf they mix 50 g (half) of the starter with 225g of gluten-free flour and 225g of water, meaning the loaf is always
X/-4= -20 X= ?
A food manufacturer uses an extruder (a machine that produces bite-size cookies and snack food) that yields revenue for the firm at a rate of $200 per hour when in operation. However, the extruder breaks down an average of two times every day it operates. If Y denotes the number of breakdowns per day, the daily revenue generated by the machine is R = 1600 − 50Y 2. Find the expected daily revenue for the extruder.

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