Approximate the area under the curve graphed below from x = 3 to x = 7 using a Left Endpoint approximation with 4 subdivisions. 4 3 Cy my Lor 3 7 p

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
**Approximation of Area Under a Curve**

**Objective:**  
Approximate the area under the curve from \( x = 3 \) to \( x = 7 \) using a Left Endpoint approximation with 4 subdivisions.

**Graph Explanation:**  
- **Axes:** The graph shows the y-axis ranging approximately from -1 to 5 and the x-axis ranging from 0 to 8.
- **Curve:** The graph depicts an increasing curve roughly passing through the points \((1, 0)\), \((4, 3)\), and \((7, 5)\). The curve appears to gradually slope upward, indicating an increasing function.
- **Method:** To approximate the area under this curve between \( x = 3 \) and \( x = 7 \), use the Left Endpoint method dividing the interval into 4 equal parts.

**Assistance Options:**
- Video tutorials (Video 1 and Video 2)
- Message the instructor for more help

**Submission Tools:**
- "Submit Question" for submitting the answer
- "Jump to Answer" for navigating to the solution

This setup will guide students in calculating the approximate area using numerical integration techniques.
Transcribed Image Text:**Approximation of Area Under a Curve** **Objective:** Approximate the area under the curve from \( x = 3 \) to \( x = 7 \) using a Left Endpoint approximation with 4 subdivisions. **Graph Explanation:** - **Axes:** The graph shows the y-axis ranging approximately from -1 to 5 and the x-axis ranging from 0 to 8. - **Curve:** The graph depicts an increasing curve roughly passing through the points \((1, 0)\), \((4, 3)\), and \((7, 5)\). The curve appears to gradually slope upward, indicating an increasing function. - **Method:** To approximate the area under this curve between \( x = 3 \) and \( x = 7 \), use the Left Endpoint method dividing the interval into 4 equal parts. **Assistance Options:** - Video tutorials (Video 1 and Video 2) - Message the instructor for more help **Submission Tools:** - "Submit Question" for submitting the answer - "Jump to Answer" for navigating to the solution This setup will guide students in calculating the approximate area using numerical integration techniques.
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