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Which of the following regarding the actual error in approximating the integral ₁15² In de using the various numerical methods is FALSE 1. The actual error in using the composite trapezoidal rule with h = 0.1 is 0.0014 2. The actual error in using the basic Simpson's rule is 0.04980 3. The actual error in using the composite Simpson's rule with n = 4 is 0.0000

Which of the following regarding the actual error in approximating the integral ₁15² In de using the various numerical methods is FALSE 1. The actual error in using the composite trapezoidal rule with h = 0.1 is 0.0014 2. The actual error in using the basic Simpson's rule is 0.04980 3. The actual error in using the composite Simpson's rule with n = 4 is 0.0000

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Topic : Numerical Analysis

Question 18

B) Which of the following regarding the actual error in approximating the integral 15 ² In de using the various numerical methods is FALSE 1. The actual error in using the composite trapezoidal rule with h = 0.1 is 0.0014 2. The actual error in using the basic Simpson's rule is 0.04980 3. The actual error in using the composite Simpson's rule with n = 4 is 0.0000 4. None of the options 1. to 3. are correct. 5. All of the options 1. to 3. are correct When applying Gauss quadrature integration to approximate 1¹.5 ² In x da, the transformed integral S¹, g(t)dt is such that 1. g(t) = 0.5 (0.5t +2.5)² ln(0.5t +2.5) dt 2. g(t) = 0.25(0.5t + 1.25)² ln(0.5t + 1.25) dt 3. g(t) = 0.25(0.5t +2.5)² ln(0.5t +2.5) dt 4. g(t) = 0.25(0.5(t+1) ln(0.5t +0.5) dt 5. None of the above options are correct D)
Transcribed Image Text:B) Which of the following regarding the actual error in approximating the integral 15 ² In de using the various numerical methods is FALSE 1. The actual error in using the composite trapezoidal rule with h = 0.1 is 0.0014 2. The actual error in using the basic Simpson's rule is 0.04980 3. The actual error in using the composite Simpson's rule with n = 4 is 0.0000 4. None of the options 1. to 3. are correct. 5. All of the options 1. to 3. are correct When applying Gauss quadrature integration to approximate 1¹.5 ² In x da, the transformed integral S¹, g(t)dt is such that 1. g(t) = 0.5 (0.5t +2.5)² ln(0.5t +2.5) dt 2. g(t) = 0.25(0.5t + 1.25)² ln(0.5t + 1.25) dt 3. g(t) = 0.25(0.5t +2.5)² ln(0.5t +2.5) dt 4. g(t) = 0.25(0.5(t+1) ln(0.5t +0.5) dt 5. None of the above options are correct D)
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