The curve of a block lies above x-axis given as, y=1+ ²² for 0≤x≤ 2. The block is formed by rotating the curve about x-axis with volume, fry² dx. Approximate the volume of the block using the improvised methods of following rules and the number of segments; Methods Trapezoidal Rule Simpson Rule Table 1 Total segment 5 10 5 10 Suggest the best approximation method and the number of segments from Table 1.
The curve of a block lies above x-axis given as, y=1+ ²² for 0≤x≤ 2. The block is formed by rotating the curve about x-axis with volume, fry² dx. Approximate the volume of the block using the improvised methods of following rules and the number of segments; Methods Trapezoidal Rule Simpson Rule Table 1 Total segment 5 10 5 10 Suggest the best approximation method and the number of segments from Table 1.
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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Transcribed Image Text:QUESTION 2
The curve of a block lies above x-axis given as,
x²
y = 1 +
+
Methods
Trapezoidal Rule
8
The block is formed by rotating the curve about x-axis with volume,
y² dx. Approximate
the volume of the block using the improvised methods of following rules and the number of
segments;
Simpson Rule
for 0 ≤ x ≤ 2.
Table 1
CLO2-PLO2:C4
Total segment
5
10
5
10
Suggest the best approximation method and the number of segments from Table 1.
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