Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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2.) Which graph is the daily case for New York?
a. I
b. II
c. III
d. IV
Transcribed Image Text:**Figure Description**
This figure is titled "New York, \( P \) (total cases)" and depicts a graph of the total number of COVID-19 cases confirmed in New York over time. The x-axis represents time \( t \) in days, starting from \( t = 0 \) on March 15, 2020. The y-axis represents the total number of COVID-19 cases, ranging from 0 to 1,000,000.
**Graph Analysis**
1. **X-Axis (Time in Days)**: The graph spans from 0 to approximately 350 days.
2. **Y-Axis (Total Cases)**: The scale ranges from 0 to 1,000,000 total cases.
3. **Graph Shape**: The curve starts near the origin, indicating few cases initially. It then rises steeply, particularly between day 50 to 100, and levels off slightly before rising sharply again after approximately day 250.
**Purpose**
The aim of this figure is to show the progression of total COVID-19 cases in New York over a period of time starting from March 15, 2020. The information will be used in conjunction with Figure 2 to determine which graph represents the daily new cases \( N \) for New York, using the relationship \( P' \approx N \).
**Educational Implications**
Understanding this graph helps illustrate how COVID-19 spread over time in New York, which is crucial for analyzing pandemic trends and healthcare responses. It provides a basis for comparison with other states' data in Figure 2.
**Note for Inclusion in Educational Website**
When presenting this information on an educational website, it is essential to include the context of the data, such as the time frame and specific location, to enhance comprehension and facilitate comparison with other datasets.
Transcribed Image Text:The image contains four graphs (labeled I, II, III, and IV) showing the number of new cases \( N \) over time \( t \) in days.
- **Graph I**: This graph shows fluctuating increases and decreases in new cases, with two significant peaks occurring around day 150 and day 300.
- **Graph II**: This graph illustrates a sharp increase in new cases with a single peak around day 250, followed by a rapid decline.
- **Graph III**: This graph depicts an initial steep peak in new cases at around day 50, followed by a decrease and then a gradual rise leading to another increase near day 300.
- **Graph IV**: This graph shows a prolonged period of low new cases, followed by a consistent increase beginning around day 250, trending steeply upward.
**Figure 2**: The graphs demonstrate different patterns of disease spread over approximately a one-year period, highlighting varying dynamics in outbreak progression.
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