Whether the statement “If the equation x n = f ( x n − 1 ) an equilibrium point x with f ′ ( x ) = − 1 , the equilibrium point cannot be stable” is true or false.

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Chapter 14.CR, Problem 8CR

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Whether the statement “If the equation xn=f(xn−1) an equilibrium point x with f′(x)=−1, the equilibrium point cannot be stable” is true or false.

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The U.S. government's focus on supply reduction efforts in its "war on drugs" has been relatively unsuccessful at addressing illegal drug use. Some economists believe that a successful anti-drug program must concentrate on reducing demand; for example, through drug education and voluntary treatment programs for addicts. Suppose the price elasticity of demand for cocaine is -0.5. What will happen to the equilibrium price, quantity, and total revenue from cocaine sales if the government succeeds in its efforts to reduce demand? What is likely to happen to the incentive to sell cocaine? Suppose the government continues to concentrate its efforts on supply reduction and is able to reduce the supply of cocaine. As a result of the reduction in supply the price of cocaine increases by 25 percent. If the price elasticity of demand is -0.5, what is likely to happen to the incentive to sell cocaine? Based on your answers, explain why one approach might be preferred over the other.

The Krill which are tiny shrimplike creatures are the principal food source for the huge blue whale. The intrinsic growth rate and the carrying capacity of the blue whale are estimated at 5% per year and 150,000 respectively. The maximum sustainable population for krill is 600 tons/acre. In the absence of predators, in uncrowded conditions, the krill population grows at a rate of 20% per year. The pres-ence of 600 tons/acre of krill increases blue whale population growth rate by 2.5% per year, and the presence of 150,000 blue whales decreases krill growth rate by 8% per year. (a) Determine all the steady states of the system and analyze theri stability. Can the blue whales and the krill coexist? (b) Verify your conclusion of stability by plotting the solution and the vector fields for selected values of initial populations. (c) Describe what happens to the two populations over time. Assume that we start o with 10,000 blue whales and 500 tons/acre of krill. (d) How sensitive are…

Answer 2

Question

Chapter 14.CR, Problem 8CR

To determine

Whether the statement “If the equation xn=f(xn−1) an equilibrium point x with f′(x)=−1, the equilibrium point cannot be stable” is true or false.

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Answer 3

Question

Chapter 14.CR, Problem 8CR

To determine

Whether the statement “If the equation xn=f(xn−1) an equilibrium point x with f′(x)=−1, the equilibrium point cannot be stable” is true or false.

Expert Solution & Answer

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Answer 4

Question

Chapter 14.CR, Problem 8CR

To determine

Whether the statement “If the equation xn=f(xn−1) an equilibrium point x with f′(x)=−1, the equilibrium point cannot be stable” is true or false.

Expert Solution & Answer

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Answer 5

Chapter 14.CR, Problem 8CR

To determine

Whether the statement “If the equation xn=f(xn−1) an equilibrium point x with f′(x)=−1, the equilibrium point cannot be stable” is true or false.

Answer 6

Chapter 14.CR, Problem 8CR

To determine

Whether the statement “If the equation xn=f(xn−1) an equilibrium point x with f′(x)=−1, the equilibrium point cannot be stable” is true or false.

Answer 7

Chapter 14.CR, Problem 8CR

To determine

Whether the statement “If the equation xn=f(xn−1) an equilibrium point x with f′(x)=−1, the equilibrium point cannot be stable” is true or false.

Answer 8

Expert Solution & Answer

Answer 9

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Answer 11

Ch. 14.1 - YOUR TURN 1 Find the first four terms of the...Ch. 14.1 - Prob. 2YT Ch. 14.1 - Prob. 3YT Ch. 14.1 - Prob. 4YT Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E Ch. 14.1 - Prob. 6E

Whether the statement “If the equation x n = f ( x n − 1 ) an equilibrium point x with f ′ ( x ) = − 1 , the equilibrium point cannot be stable” is true or false.

Solution Summary: The author explains whether the statement "If the equation x_n=f( x 'n-1)' is true or false. An equilibrium point is unstable if the

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Whether the statement “If the equation xn=f(xn−1) an equilibrium point x with f′(x)=−1, the equilibrium point cannot be stable” is true or false.

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