For the initial quantity Qo = 500 and a decay rate of 2% per unit time, give a formula for quantity Q as a function of time t, and find the value of the quantity at time t = 10. (a) Assume the decay rate is not continuous Q(t) = 500 ·1.02 Q(10) = 609.497 NOTE: Round your answer to three decimal places. (b) Assume the decay rate is continuous Q(t) = 500 e0.02t Q(10) = 610.701 NOTE: Round your answer to three decimal places.
For the initial quantity Qo = 500 and a decay rate of 2% per unit time, give a formula for quantity Q as a function of time t, and find the value of the quantity at time t = 10. (a) Assume the decay rate is not continuous Q(t) = 500 ·1.02 Q(10) = 609.497 NOTE: Round your answer to three decimal places. (b) Assume the decay rate is continuous Q(t) = 500 e0.02t Q(10) = 610.701 NOTE: Round your answer to three decimal places.
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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