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calc notes lecture 27

calc notes lecture 27 - Lecture Section 28 None Objective...

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Lecture Section Objective Assignment 28 None Zero Order Differential Equations Attached Zero-order Process Modeled by a linear function 0 A A kt = , where k is the rate constant. Rate of change is constant: 0 dA k kA dt k = = Example 1. Solve the decreasing rate equation for A . 1
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Example 2. Sketch the linear function A and the rate equation. Example 3. Determine the half-life formula of a zero-order process. 2
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Example 4. The eliminating rate of alcohol by humans is constant at 0.02/hr. a. If the initial percent blood alcohol is 0.162, write the equation that can be used to determine the amount of alcohol at any hour after ingestion (solve the rate equation for A ). b. The legal blood alcohol limit in many states is 0.08. At what time is the percent alcohol 0.08? 3
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ASSIGNMENT: 1. Suppose the absorption rate by some organism of a chemical is constant at 0.12/h. a. If the initial concentration in the blood is 0.02 mg/dL, find the equation that can be used to determine the amount of chemical present at any time.
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