The image consists of two scatter plot graphs depicting water runoff data for the Hubbard Brook Watershed 2 and Watershed 6 during July 1966. **Graph 1: Hubbard Brook Watershed 2 Water Runoff** - **X-Axis**: Days in July 1966 (ranging from 0 to 31). - **Y-Axis**: Water runoff measured in cubic feet per day (ranging from 0 to 60,000). - **Data Points**: The graph shows a significant peak in runoff at the beginning of July, exceeding 60,000 cubic feet per day. After this peak, there is a noticeable decline, continuing to decrease through the month, with some smaller fluctuations around 10,000 cubic feet per day. **Graph 2: Hubbard Brook Watershed 6 Water Runoff** - **X-Axis**: Days in July 1966 (ranging from 0 to 31). - **Y-Axis**: Water runoff measured in cubic feet per day (ranging from 0 to 12,000). - **Data Points**: This graph also shows an initial peak at the beginning of the month, though significantly lower than Watershed 2, below 12,000 cubic feet per day. The data points then demonstrate a decline in runoff, with small fluctuations around 2,000 cubic feet per day later in the month. **Summary**: The data illustrates a distinct pattern of higher initial runoff early in the month for both watersheds, with Watershed 2 experiencing considerably greater runoff levels than Watershed 6. Over the course of July 1966, the water runoff decreased for both watersheds, indicating a reduction in water flow as the month progressed. **Calculus 1 Project A: Integrals** **Riemann Sums and Ecosystem Services** **Definitions:** - **Watershed:** The area that drains into a stream, river, or lake. - **Normalize:** To make conform to or reduce to a norm or standard. **Question:** Below you will find a scatter plot and data for the water flow from watersheds 2 and 6 of the Hubbard Brook Ecosystem Study (http://www.hubbardbrook.org/) for July 1966. Data is collected from stream gauges at the head of each watershed. Each watershed has similar characteristics, and the size of the watershed and rainfall for the month of watersheds 2 and 6 is 11.8 hectares and 98 mm, and 13.2 hectares and 99.6 mm, respectively. The one difference is that watershed 2 had all trees and shrubs cut and left in place the previous winter, leaving watershed 6 as a control. Calculate the area under the graph to estimate the stream flow and compare the two watersheds. Comment on the ecosystem service provided by the trees and shrubs and how clear-cutting and developments may impact flooding. **Day in July 1966 Water Flow Data:** | Day | Watershed 2 - Streamflow - ft³/day | Watershed 6 - Streamflow - ft³/day | |-----|------------------------------------|------------------------------------| | 1 | 6857.32608 | 598.30272 | | 2 | 6239.94624 | 308.49984 | | 3 | 5832.03456 | 182.29536 | | 4 | 5374.512 | 168.27264 | | 5 | 4817.76768 | 88.81056 | | 6 | 64488.63168 | 12031.49376 | | 7 | 55845.31392 | 10820.8656 | | 8 | 24110.88768 | 2743.77888 | | 9 | 16206.2208 | 1205.95392 | | 10 | 15831.38304 | 916.15104 | | 11 |

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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The image consists of two scatter plot graphs depicting water runoff data for the Hubbard Brook Watershed 2 and Watershed 6 during July 1966. 

**Graph 1: Hubbard Brook Watershed 2 Water Runoff**
- **X-Axis**: Days in July 1966 (ranging from 0 to 31).
- **Y-Axis**: Water runoff measured in cubic feet per day (ranging from 0 to 60,000).
- **Data Points**: The graph shows a significant peak in runoff at the beginning of July, exceeding 60,000 cubic feet per day. After this peak, there is a noticeable decline, continuing to decrease through the month, with some smaller fluctuations around 10,000 cubic feet per day.

**Graph 2: Hubbard Brook Watershed 6 Water Runoff**
- **X-Axis**: Days in July 1966 (ranging from 0 to 31).
- **Y-Axis**: Water runoff measured in cubic feet per day (ranging from 0 to 12,000).
- **Data Points**: This graph also shows an initial peak at the beginning of the month, though significantly lower than Watershed 2, below 12,000 cubic feet per day. The data points then demonstrate a decline in runoff, with small fluctuations around 2,000 cubic feet per day later in the month.

**Summary**: The data illustrates a distinct pattern of higher initial runoff early in the month for both watersheds, with Watershed 2 experiencing considerably greater runoff levels than Watershed 6. Over the course of July 1966, the water runoff decreased for both watersheds, indicating a reduction in water flow as the month progressed.
Transcribed Image Text:The image consists of two scatter plot graphs depicting water runoff data for the Hubbard Brook Watershed 2 and Watershed 6 during July 1966. **Graph 1: Hubbard Brook Watershed 2 Water Runoff** - **X-Axis**: Days in July 1966 (ranging from 0 to 31). - **Y-Axis**: Water runoff measured in cubic feet per day (ranging from 0 to 60,000). - **Data Points**: The graph shows a significant peak in runoff at the beginning of July, exceeding 60,000 cubic feet per day. After this peak, there is a noticeable decline, continuing to decrease through the month, with some smaller fluctuations around 10,000 cubic feet per day. **Graph 2: Hubbard Brook Watershed 6 Water Runoff** - **X-Axis**: Days in July 1966 (ranging from 0 to 31). - **Y-Axis**: Water runoff measured in cubic feet per day (ranging from 0 to 12,000). - **Data Points**: This graph also shows an initial peak at the beginning of the month, though significantly lower than Watershed 2, below 12,000 cubic feet per day. The data points then demonstrate a decline in runoff, with small fluctuations around 2,000 cubic feet per day later in the month. **Summary**: The data illustrates a distinct pattern of higher initial runoff early in the month for both watersheds, with Watershed 2 experiencing considerably greater runoff levels than Watershed 6. Over the course of July 1966, the water runoff decreased for both watersheds, indicating a reduction in water flow as the month progressed.
**Calculus 1 Project A: Integrals**

**Riemann Sums and Ecosystem Services**

**Definitions:**
- **Watershed:** The area that drains into a stream, river, or lake.
- **Normalize:** To make conform to or reduce to a norm or standard.

**Question:** 
Below you will find a scatter plot and data for the water flow from watersheds 2 and 6 of the Hubbard Brook Ecosystem Study (http://www.hubbardbrook.org/) for July 1966. Data is collected from stream gauges at the head of each watershed. Each watershed has similar characteristics, and the size of the watershed and rainfall for the month of watersheds 2 and 6 is 11.8 hectares and 98 mm, and 13.2 hectares and 99.6 mm, respectively. The one difference is that watershed 2 had all trees and shrubs cut and left in place the previous winter, leaving watershed 6 as a control. Calculate the area under the graph to estimate the stream flow and compare the two watersheds. Comment on the ecosystem service provided by the trees and shrubs and how clear-cutting and developments may impact flooding.

**Day in July 1966 Water Flow Data:**

| Day | Watershed 2 - Streamflow - ft³/day | Watershed 6 - Streamflow - ft³/day |
|-----|------------------------------------|------------------------------------|
| 1   | 6857.32608                         | 598.30272                          |
| 2   | 6239.94624                         | 308.49984                          |
| 3   | 5832.03456                         | 182.29536                          |
| 4   | 5374.512                           | 168.27264                          |
| 5   | 4817.76768                         | 88.81056                           |
| 6   | 64488.63168                        | 12031.49376                        |
| 7   | 55845.31392                        | 10820.8656                         |
| 8   | 24110.88768                        | 2743.77888                         |
| 9   | 16206.2208                         | 1205.95392                         |
| 10  | 15831.38304                        | 916.15104                          |
| 11  |
Transcribed Image Text:**Calculus 1 Project A: Integrals** **Riemann Sums and Ecosystem Services** **Definitions:** - **Watershed:** The area that drains into a stream, river, or lake. - **Normalize:** To make conform to or reduce to a norm or standard. **Question:** Below you will find a scatter plot and data for the water flow from watersheds 2 and 6 of the Hubbard Brook Ecosystem Study (http://www.hubbardbrook.org/) for July 1966. Data is collected from stream gauges at the head of each watershed. Each watershed has similar characteristics, and the size of the watershed and rainfall for the month of watersheds 2 and 6 is 11.8 hectares and 98 mm, and 13.2 hectares and 99.6 mm, respectively. The one difference is that watershed 2 had all trees and shrubs cut and left in place the previous winter, leaving watershed 6 as a control. Calculate the area under the graph to estimate the stream flow and compare the two watersheds. Comment on the ecosystem service provided by the trees and shrubs and how clear-cutting and developments may impact flooding. **Day in July 1966 Water Flow Data:** | Day | Watershed 2 - Streamflow - ft³/day | Watershed 6 - Streamflow - ft³/day | |-----|------------------------------------|------------------------------------| | 1 | 6857.32608 | 598.30272 | | 2 | 6239.94624 | 308.49984 | | 3 | 5832.03456 | 182.29536 | | 4 | 5374.512 | 168.27264 | | 5 | 4817.76768 | 88.81056 | | 6 | 64488.63168 | 12031.49376 | | 7 | 55845.31392 | 10820.8656 | | 8 | 24110.88768 | 2743.77888 | | 9 | 16206.2208 | 1205.95392 | | 10 | 15831.38304 | 916.15104 | | 11 |
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