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Use four rectangles to find an estimate of each type for the area under the given graph of f from x = 1 to x = 9. 1. Take the sample points from the left-endpoints. Answer: L4 20.8 2. Is your estimate L4 an underestimate or overestimate of the true area? Underestimate 3. Take the sample points from the right-endpoints. Answer: R4 25.4 4. Is your estimate R4 an underestimate or overestimate of the true area? Overestimate 5. Use the Trapezoid Rule with n = 4. Answer: T4 = 23.1 6. Is your estimate T4 an underestimate or overestimate of the true area? Overestimate 11

Use four rectangles to find an estimate of each type for the area under the given graph of f from x = 1 to x = 9. 1. Take the sample points from the left-endpoints. Answer: L4 20.8 2. Is your estimate L4 an underestimate or overestimate of the true area? Underestimate 3. Take the sample points from the right-endpoints. Answer: R4 25.4 4. Is your estimate R4 an underestimate or overestimate of the true area? Overestimate 5. Use the Trapezoid Rule with n = 4. Answer: T4 = 23.1 6. Is your estimate T4 an underestimate or overestimate of the true area? Overestimate 11

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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Use four rectangles to find an estimate of each type for the area under the given graph of f from x = 1 to x = 9. 1. Take the sample points from the left-endpoints. Answer: L4 20.8 = 2. Is your estimate L4 an underestimate or overestimate of the true area? Underestimate 3. Take the sample points from the right-endpoints. Answer: R4= = 25.4 4. Is your estimate R4 an underestimate or overestimate of the true area? 5. Use the Trapezoid Rule with n= = 4. Answer: T4 23.1 = Overestimate 6. Is your estimate T4 an underestimate or overestimate of the true area? Overestimate
Transcribed Image Text:Use four rectangles to find an estimate of each type for the area under the given graph of f from x = 1 to x = 9. 1. Take the sample points from the left-endpoints. Answer: L4 20.8 = 2. Is your estimate L4 an underestimate or overestimate of the true area? Underestimate 3. Take the sample points from the right-endpoints. Answer: R4= = 25.4 4. Is your estimate R4 an underestimate or overestimate of the true area? 5. Use the Trapezoid Rule with n= = 4. Answer: T4 23.1 = Overestimate 6. Is your estimate T4 an underestimate or overestimate of the true area? Overestimate
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