Concept explainers
As we saw in Section 6.5, a radioactive substance decays exponentially: The mass at time t is
The mean life M of an atom in the substance is
For the radioactive carbon isotope,
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Chapter 7 Solutions
Calculus (MindTap Course List)
- Suppose that the initial mass of radioactive substance is m0 and the half-life of the substance is h. Let m(t) be the mass remaining at time t. a What is meant by the half-life h? b Write a formula for m(t) in terms of the half-life h. c Write a formula for the relative decay rate r in terms of the half-life h. d Write a formula for m(t) in terms of the relative decay rate r.arrow_forwardTo the nearest whole number, what is the initial value of a population modeled by the logistic equation P(t)=1751+6.995e0.68t ? What is the carrying capacity?arrow_forwardThe graph in Figure 19 illustrates the decay of a radioactive substance over t days. Use the graph to estimate the average decay rate from t=5tot=15 .arrow_forward
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