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Isotopes An isotope of technetium has a half-life ofapproximately 6 h. If a patient is injected with 10 mgof this isotope, what will be the technetium level inthe patient after 2 h? Use the function
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- radioactive Decay These exercises use the population radioactive Decay. Radioactive Cesium The half-life of cesium- 37 is 30 years. Suppose we have a sample. (a) Find a function m(t)=m0et/k that mass remaining after t years. (b) Find a function m(t)=m0ert that models the remaining after t years. (c) How much of sample Will remain after 80 years? (d) After how many years will only 2 g of the sample remain?arrow_forwardTitanic At 2:00 p.m. on April 11, 1912, the Titanic left Cobh, Ireland, on her voyage to New York City. At 11:40 p.m. on April 14, the Titanic struck an iceberg and sank, having covered only about 2100 miles of the approximately 3400-mile trip. (a) What was the total duration of the voyage in hours? (b) What was the average speed in miles per hour? (c) Write a function relating the distance of the Titanic from New York City and the number of hours traveled. Find the domain and range of the function. (d) Graph the function in part (c).arrow_forward
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