The limit of the modely = (38,504.4888 + 44.37530536x^2)/(1 + x + x^2)is given as x approaches 100. Write the result of this calculation in the table below. Edit a graphing utility file to find the limit of the model for the remaining values of x given in the table. Record the results below. The limit of the model \[ y = \frac{38,504.4888 + 44.37530536x^2}{1 + x + x^2} \]is given as \( x \) approaches 100. Write the result of this calculation in the table below. Edit a graphing utility file to find the limit of the model for the remaining values of \( x \) given in the table. Record the results below.\[\begin{array}{|c|c|c|c|c|c|}\hline\text{Year, } x & 100 & 150 & 200 & 250 & 300 \\\hline\text{Time, } y & & & & & \\\hline\end{array}\]What conclusions can you make about the existence of a lower limit on the time it takes a man to swim 100 meters? ### Swim Performance Over Time#### Data Table- **Year, \( x \)**: - 100 - 150 - 200 - 250 - 300- **Time, \( y \)**: - (Data not provided in the table)#### DiscussionThe table above is meant to analyze the relationship between historical timelines and the time taken by a man to swim 100 meters. However, specific data for the time (\( y \)) is missing in the table.#### Analytical QuestionThe primary focus of this analysis is: "What conclusions can you make about the existence of a lower limit on the time it takes a man to swim 100 meters?"- **Potential Analysis Approaches**: - Observe historical trends in swimming times and use statistical or mathematical models to predict future limits. - Consider factors such as improvements in technology, training methods, and human physiology that could impact these times.This data aims to stimulate discussion on whether there is a theoretical floor in swimming performance for 100 meters and how close current times approach this limit.

Given that, the function is fx=38,504.4888+44.37530536x21+x+x2. Apply the limit as x tends to 100 as…

the limit of the model 38,504.4888 + 44.37530536x² y 1 + x + x² is given as x approaches 100. Write the result of this calculation in the table below. Edit a graphing utility file to find the limit of the model for the remain- ing values of x given in the table. Record the results below. Year, x 100 150 200 250 300 Time, y What conclusions can you make about the existence of a lower limit on the time it takes a man to swim 100 meters?

the limit of the model 38,504.4888 + 44.37530536x² y 1 + x + x² is given as x approaches 100. Write the result of this calculation in the table below. Edit a graphing utility file to find the limit of the model for the remain- ing values of x given in the table. Record the results below. Year, x 100 150 200 250 300 Time, y What conclusions can you make about the existence of a lower limit on the time it takes a man to swim 100 meters?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

The limit of the model

y = (38,504.4888 + 44.37530536x^2)/(1 + x + x^2)

is given as x approaches 100. Write the result of this calculation in the table below. Edit a graphing utility file to find the limit of the model for the remaining values of x given in the table. Record the results below.

The limit of the model

\[ y = \frac{38,504.4888 + 44.37530536x^2}{1 + x + x^2} \]

is given as \( x \) approaches 100. Write the result of this calculation in the table below. Edit a graphing utility file to find the limit of the model for the remaining values of \( x \) given in the table. Record the results below.

\[
\begin{array}{|c|c|c|c|c|c|}
\hline
\text{Year, } x & 100 & 150 & 200 & 250 & 300 \\
\hline
\text{Time, } y & & & & & \\
\hline
\end{array}
\]

What conclusions can you make about the existence of a lower limit on the time it takes a man to swim 100 meters?

### Swim Performance Over Time

#### Data Table
- **Year, \( x \)**:
- 100
- 150
- 200
- 250
- 300

- **Time, \( y \)**:
- (Data not provided in the table)

#### Discussion
The table above is meant to analyze the relationship between historical timelines and the time taken by a man to swim 100 meters. However, specific data for the time (\( y \)) is missing in the table.

#### Analytical Question
The primary focus of this analysis is: "What conclusions can you make about the existence of a lower limit on the time it takes a man to swim 100 meters?"

- **Potential Analysis Approaches**:
- Observe historical trends in swimming times and use statistical or mathematical models to predict future limits.
- Consider factors such as improvements in technology, training methods, and human physiology that could impact these times.

This data aims to stimulate discussion on whether there is a theoretical floor in swimming performance for 100 meters and how close current times approach this limit.

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