When you drink coffee, you can describe the concentration of caffeine in your blood by the formula c(t) = Ax ekt c(t) is the concentration of caffeine t hours after consumption. k is a constant, which depends on your weight and we assume k = -0.5. A is the number of coffees you drink. Round all numbers to two decimals! a) When you drink a double shot of coffee. What is the function c(t) of your caffeine concentration? b) What is the concentration of caffeine two hours after the consumption of one cup? 9 How many coffees must you drink to have at least a dose of one coffee in the blood 4 hours later? d) How long does it take until your caffeine level half of the initial level? e) Derive c(t) and calculate the marginal decline of caffeine concentration 2 hours after you drank the two coffees. What does this number express? ) After learning that the half-life of caffeine concentration in the blood is 6 hours, we must adjust the value of k. What must be the correct value of k?
When you drink coffee, you can describe the concentration of caffeine in your blood by the formula c(t) = Ax ekt c(t) is the concentration of caffeine t hours after consumption. k is a constant, which depends on your weight and we assume k = -0.5. A is the number of coffees you drink. Round all numbers to two decimals! a) When you drink a double shot of coffee. What is the function c(t) of your caffeine concentration? b) What is the concentration of caffeine two hours after the consumption of one cup? 9 How many coffees must you drink to have at least a dose of one coffee in the blood 4 hours later? d) How long does it take until your caffeine level half of the initial level? e) Derive c(t) and calculate the marginal decline of caffeine concentration 2 hours after you drank the two coffees. What does this number express? ) After learning that the half-life of caffeine concentration in the blood is 6 hours, we must adjust the value of k. What must be the correct value of k?
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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Hello,
I only need the solution for e and f, as you can see I already have the solutions from a to d.
Thanks.
Mahboob
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