Find a upper sum for f(x) = 10 x² on [1, 2] with n = 4 subintervals. Round your final answer to two decimal places. Answer:
Find a upper sum for f(x) = 10 x² on [1, 2] with n = 4 subintervals. Round your final answer to two decimal places. Answer:
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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![**Problem Statement:**
Find an upper sum for \( f(x) = 10 - x^2 \) on the interval \([1, 2]\) with \( n = 4 \) subintervals. Round your final answer to two decimal places.
**Solution Space:**
- **Answer:** [Text box for response]
**Explanation:**
To find the upper sum, divide the interval \([1, 2]\) into 4 equal subintervals. Calculate the width of each subinterval and determine the maximum value of the function \( f(x) \) in each subinterval. Sum these maximum values multiplied by the subinterval width to find the upper sum. Finally, round your answer to two decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F34042937-5f53-43cf-ac4b-3f6d98d86f6b%2Fe844ef10-c3ab-4469-a768-5572b535e883%2F3a69p6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Find an upper sum for \( f(x) = 10 - x^2 \) on the interval \([1, 2]\) with \( n = 4 \) subintervals. Round your final answer to two decimal places.
**Solution Space:**
- **Answer:** [Text box for response]
**Explanation:**
To find the upper sum, divide the interval \([1, 2]\) into 4 equal subintervals. Calculate the width of each subinterval and determine the maximum value of the function \( f(x) \) in each subinterval. Sum these maximum values multiplied by the subinterval width to find the upper sum. Finally, round your answer to two decimal places.
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