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
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
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Question

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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