can you please help me with question 2 and 4 EXERCISE 5Solve the following problems.1. An artifact was found to have 20 grams of carbon-14. How many grams of carbon-14 willpresent in this artifact after 10,000 years if the half-life of the carbon-14 is 4500 years?2. The initial mass of radioactive substance is 1000 grams. After 50 years the mass of thesubstance has decreased to 700 grams. Find the half-life of this radioactive substance.3. The initial mass of a radioactive substance is 50 grams. If the half-life of the substance isfind the mass of the radioactive substance after 1,000 years.250years,4. The initial mass of a radioactive isotope is 800 grams. If the half-life of the radioactiveisotope is 25 years, find the mass of the isotope after 100 years.5. Initially, 100 milligrams of a radioactive substance was present. After 6 hours the mass haddecreased by 3%. If the rate of decay is proportional to the amount of substance present attime t, find the amount remaining after 24 hours. Determine the half-life of the radioactivesubstance.6. The half-life of curium, curium-245 is about 8500 years. If 20 mg of this radioactive materialis present initially, how long will it take for 75% of the curium to decay?7. The radioactive isotope of cobalt-60 decays at a rate proportional to the amount present attime t. it has a half-life of 87 years. If 234 grams of this isotope is present initially, how longwill it take for 35% of the cobalt to decay?8. The half-life of curium, curium-245 is about 8500 years. If 20 mg of this radioactive materialis present initially, how long will it take for 60% of the curium to decay?Determine the half-life of a radioactive substance whose initial amount is 200 milligrams anddecreases by 5% after 2 hours. It is assumed that the rate of decay is proportional to the9.amount suibstance present at time t?30IN41

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IS 2. The initial mass of radioactive substance is 1000 grams. After 50 years the mass of the substance has decreased to 700 grams. Find the half-life of this radioactive substance. 3. The initial mass of a radioactive substance is 50 grams. If the half-life of the substance is 250 years, find the mass of the radioactive substance after 1,000 years. 4. The initial mass of a radioactive isotope is 800 grams. If the half-life of the radioactive isotope is 25 years, find the mass of the isotope after 100 years.

IS 2. The initial mass of radioactive substance is 1000 grams. After 50 years the mass of the substance has decreased to 700 grams. Find the half-life of this radioactive substance. 3. The initial mass of a radioactive substance is 50 grams. If the half-life of the substance is 250 years, find the mass of the radioactive substance after 1,000 years. 4. The initial mass of a radioactive isotope is 800 grams. If the half-life of the radioactive isotope is 25 years, find the mass of the isotope after 100 years.

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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