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In a radiocarbon dating process, the date of death of a plant or animal can be approximated using the theory that radioactive Carbon 14 will
In a radiocarbon dating process, the date of death of a plant or animal can be approximated using the theory that radioactive Carbon 14 will decay at an exponential rate upon the death of the organism due to it no longer being able to absorb it due to a cessation of photosynthesis or respiration. Generally, this model can be described using an Ordinary Differential Equation: Where is the proportion of Carbon 14 in the organism (initially this is considered to be 1 upon the moment of death) and is the rate of decay, which is a constant giving a half-life of Carbon 14 of approx. 5730 years. This system is to be modelled using Simulink, this is shown in Figure 5: Carbon14_Model.JPG Figure 5: A Simulink model of Radiocarbon Dating From the options below, give the appropriate value of the Initial condition that should be entered into the Integrator block. Assume the Simulation time-step is set to 1 year increments. Group of answer choices Initial Condition = 1.21e-4 Initial Condition = 1 Initial Condition = -5730 Initial Condition = -1.21e-4 Initial Condition = 5730 Initial Condition = 0
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