For time t > 0, the function C = ate¬b" with positive constants a and b gives the concentration, C, of a drug in the body. The figure below shows the maximum concentration reached (in nanograms per milliliter, ng/ml) after a 10 mg dose of the cough medicine hydrocodone bitartrate. Find the values of a and b. C (ng/ml) 24.6- t (hours) 1.8 Round your answer for a to two decimal places, and your answer for b to three decimal places. a = i b = i
For time t > 0, the function C = ate¬b" with positive constants a and b gives the concentration, C, of a drug in the body. The figure below shows the maximum concentration reached (in nanograms per milliliter, ng/ml) after a 10 mg dose of the cough medicine hydrocodone bitartrate. Find the values of a and b. C (ng/ml) 24.6- t (hours) 1.8 Round your answer for a to two decimal places, and your answer for b to three decimal places. a = i b = i
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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![For time \( t \ge 0 \), the function \( C = ate^{-bt} \) with positive constants \( a \) and \( b \) gives the concentration, \( C \), of a drug in the body. The figure below shows the maximum concentration reached (in nanograms per milliliter, ng/ml) after a 10 mg dose of the cough medicine hydrocodone bitartrate. Find the values of \( a \) and \( b \).
### Graph Description
The graph is a plot of the concentration \( C \) (in ng/ml) against time \( t \) (in hours).
- **Y-axis (Vertical):** Represents the concentration \( C \) in ng/ml.
- **X-axis (Horizontal):** Represents time \( t \) in hours.
- The graph shows a curve starting from the origin, rising to a peak, and then declining.
- The maximum peak of the concentration is 24.6 ng/ml at \( t = 1.8 \) hours.
### Problem
Round your answer for \( a \) to two decimal places, and your answer for \( b \) to three decimal places.
\( a = \) [Input Box]
\( b = \) [Input Box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca5e629a-9287-4ec7-9b80-8449992c5732%2F0c84a980-1cec-4e95-9e69-991cb4d30342%2Fr4fuf5t_processed.png&w=3840&q=75)
Transcribed Image Text:For time \( t \ge 0 \), the function \( C = ate^{-bt} \) with positive constants \( a \) and \( b \) gives the concentration, \( C \), of a drug in the body. The figure below shows the maximum concentration reached (in nanograms per milliliter, ng/ml) after a 10 mg dose of the cough medicine hydrocodone bitartrate. Find the values of \( a \) and \( b \).
### Graph Description
The graph is a plot of the concentration \( C \) (in ng/ml) against time \( t \) (in hours).
- **Y-axis (Vertical):** Represents the concentration \( C \) in ng/ml.
- **X-axis (Horizontal):** Represents time \( t \) in hours.
- The graph shows a curve starting from the origin, rising to a peak, and then declining.
- The maximum peak of the concentration is 24.6 ng/ml at \( t = 1.8 \) hours.
### Problem
Round your answer for \( a \) to two decimal places, and your answer for \( b \) to three decimal places.
\( a = \) [Input Box]
\( b = \) [Input Box]
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