The amount of carbon-14 in an ancient artifact is decreasing at a rate of 15e^-0.00012t mg per year,
where t = 0 corresponds to the year 1900.
(a) how fast will the the amount of carbon-14 in the artifact be decreasing in the year 2000? show your work and answer in a complete sentence.
(b) by how much will the total amount of carbon-14 in the artifact decrease between 1900 and 2000? write down and evaluate a definite integral to answer this question. you must show your work in evaluating the integral; answer in a complete sentence.
(c) what is the average rate of change of the amount of carbon-14 in the artifact between 1900 and 2000? write down an expression involving a definite integral and evaluate the expression to answer this question. you don’t need to show your work in evaluating the expression; answer in a complete sentence.