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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Question
i need to know if the level of stableization goes to hig or to low
![### Mathematical Formula and Its Application
The formula presented is used to determine the stabilization level over time, denoted as \( s(t) \).
#### Formula:
\[
s(t) = \frac{\ln(19/t+1)}{4/t}
\]
Where:
- \( s(t) \) is the stabilization level at time \( t \).
- \( \ln \) denotes the natural logarithm.
- \( 19/t+1 \) is the expression inside the logarithm.
- \( 4/t \) is the denominator, indicating a division by \( t \) scaled by 4.
#### Key Values:
- **Minimum Level of Stabilization:** 2.73125
- **Maximum Level of Stabilization:** 3.740625
These values represent the range within which the stabilization level varies over the observed timeframe.
#### Explanation:
This formula provides insights into how certain conditions stabilize over time, considering the logarithmic growth effect and the diminishing return as time increases. The use of the natural logarithm implies a relationship that rapidly increases before plateauing. The minimum and maximum values indicate the limits of this stabilization process under specified conditions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff0c2c17c-c864-4c22-95dc-8933004abe78%2Fae1bf483-b97d-46e0-9149-7c73665e3a77%2F2ehl31_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Mathematical Formula and Its Application
The formula presented is used to determine the stabilization level over time, denoted as \( s(t) \).
#### Formula:
\[
s(t) = \frac{\ln(19/t+1)}{4/t}
\]
Where:
- \( s(t) \) is the stabilization level at time \( t \).
- \( \ln \) denotes the natural logarithm.
- \( 19/t+1 \) is the expression inside the logarithm.
- \( 4/t \) is the denominator, indicating a division by \( t \) scaled by 4.
#### Key Values:
- **Minimum Level of Stabilization:** 2.73125
- **Maximum Level of Stabilization:** 3.740625
These values represent the range within which the stabilization level varies over the observed timeframe.
#### Explanation:
This formula provides insights into how certain conditions stabilize over time, considering the logarithmic growth effect and the diminishing return as time increases. The use of the natural logarithm implies a relationship that rapidly increases before plateauing. The minimum and maximum values indicate the limits of this stabilization process under specified conditions.
Expert Solution

Step 1: The given data is:
Minimum level of stabilization: 2.73125
Maximum level of stabilization: 3.740625
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