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Which of the following is the best estimate of f f(x)dx where f(x) is given in the figure below? (x) 25 20 15 10 5 (a) 13 (b) 17 (c) 65 (d) 85 H 5

Which of the following is the best estimate of f f(x)dx where f(x) is given in the figure below? (x) 25 20 15 10 5 (a) 13 (b) 17 (c) 65 (d) 85 H 5

Advanced Engineering Mathematics
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:** Which of the following is the best estimate of \(\int_{0}^{3} f(x) \, dx\), where \(f(x)\) is given in the figure below? **Graph Explanation:** The graph depicts the function \(f(x)\) plotted on a coordinate plane. The x-axis ranges from 0 to 5, and the y-axis ranges from 0 to 25. The curve is a decreasing function starting from the point (0, 25) and appears to reach approximately (4, 0). The curve has a concave upward shape, suggesting a nonlinear decrease. **Answer Choices:** (a) 13 (b) 17 (c) 65 (d) 85 **Options for Selection:** - ○ d - ○ a - ○ c - ○ b
Transcribed Image Text:**Question:** Which of the following is the best estimate of \(\int_{0}^{3} f(x) \, dx\), where \(f(x)\) is given in the figure below? **Graph Explanation:** The graph depicts the function \(f(x)\) plotted on a coordinate plane. The x-axis ranges from 0 to 5, and the y-axis ranges from 0 to 25. The curve is a decreasing function starting from the point (0, 25) and appears to reach approximately (4, 0). The curve has a concave upward shape, suggesting a nonlinear decrease. **Answer Choices:** (a) 13 (b) 17 (c) 65 (d) 85 **Options for Selection:** - ○ d - ○ a - ○ c - ○ b
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