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An isotope of the element erbium has a half-life of approximately 9 hours. Initially there are 7 grams of the isotope present. a. Write the exponential function that relates the amount of substance remaining, A(t) measured in grams, as a function of t, measured in hours. A(t) = grams b. Use part a. to determine the rate at which the substance is decaying after t hours. A'(t) = grams per hour c. Use part b. to determine the rate of decay at 21 hours. Round to four decimal places. A' (21) grams per hour

An isotope of the element erbium has a half-life of approximately 9 hours. Initially there are 7 grams of the isotope present. a. Write the exponential function that relates the amount of substance remaining, A(t) measured in grams, as a function of t, measured in hours. A(t) = grams b. Use part a. to determine the rate at which the substance is decaying after t hours. A'(t) = grams per hour c. Use part b. to determine the rate of decay at 21 hours. Round to four decimal places. A' (21) grams per hour

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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An isotope of the element erbium has a half-life of approximately 9 hours. Initially there are 7 grams of the isotope present. a. Write the exponential function that relates the amount of substance remaining, A(t) measured in grams, as a function of t, measured in hours. A(t) = grams b. Use part a. to determine the rate at which the substance is decaying after t hours. A'(t) = grams per hour c. Use part b. to determine the rate of decay at 21 hours. Round to four decimal places. A' (21) grams per hour
Transcribed Image Text:An isotope of the element erbium has a half-life of approximately 9 hours. Initially there are 7 grams of the isotope present. a. Write the exponential function that relates the amount of substance remaining, A(t) measured in grams, as a function of t, measured in hours. A(t) = grams b. Use part a. to determine the rate at which the substance is decaying after t hours. A'(t) = grams per hour c. Use part b. to determine the rate of decay at 21 hours. Round to four decimal places. A' (21) grams per hour
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