1. Country X and country Y both aspire to be the first to put an astronaut in orbit, spending Sr and Sy respectively on their rocket programs. (a) After observing the spending over the past few years, a statistician estimates that the spending can be expressed in the following dynamical system: dr -3.2r + 3.5y + 4.7 dy 2.4r – 2.8y + 5.2 dt Are the two countries engaged in a space race? (b) What is the spending of the two countries in this scenario? (c) Country X makes a breakthrough which causes country Y to panic and increase its spending. The new dynamical system is: dr = -3.2r + 3.5y + 4.7 dt dy 3.2r - 3.1y + 5.2 dt %3D
1. Country X and country Y both aspire to be the first to put an astronaut in orbit, spending Sr and Sy respectively on their rocket programs. (a) After observing the spending over the past few years, a statistician estimates that the spending can be expressed in the following dynamical system: dr -3.2r + 3.5y + 4.7 dy 2.4r – 2.8y + 5.2 dt Are the two countries engaged in a space race? (b) What is the spending of the two countries in this scenario? (c) Country X makes a breakthrough which causes country Y to panic and increase its spending. The new dynamical system is: dr = -3.2r + 3.5y + 4.7 dt dy 3.2r - 3.1y + 5.2 dt %3D
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ:
23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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