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
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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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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
%3D
NOTE: Round your answer to three decimal places.
Transcribed Image Text: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 %3D NOTE: Round your answer to three decimal places.
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