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Apply Simpson's Rule to the following integral. It is easiest to obtain the Simpson's Rule approximations from the Trapezoid Rule approximations. Make a table showing the approximations and errors for n = 4, 8, 16, and 32. The exact value of the integral is given for computing the error. 8 4 0 3e-3x dx=1-e 241.000000 Complete the table below. (Type integers or decimals. Round to six decimal places as needed.) Absolute Error n T(n) S(n) in T(n) Absolute Error in S(n)

Apply Simpson's Rule to the following integral. It is easiest to obtain the Simpson's Rule approximations from the Trapezoid Rule approximations. Make a table showing the approximations and errors for n = 4, 8, 16, and 32. The exact value of the integral is given for computing the error. 8 4 0 3e-3x dx=1-e 241.000000 Complete the table below. (Type integers or decimals. Round to six decimal places as needed.) Absolute Error n T(n) S(n) in T(n) Absolute Error in S(n)

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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Complete the table for n = 4, 8, 16, and 32
Apply Simpson's Rule to the following integral. It is easiest to obtain the Simpson's Rule approximations from the Trapezoid Rule approximations. Make a table showing the approximations and errors for n = 4, 8, 16, and 32. The exact value of the integral is given for computing the error. 8 f3e- 3e-3x dx=1-e-24 1.000000 0 Complete the table below. (Type integers or decimals. Round to six decimal places as needed.) Absolute Error T(n) S(n) in T(n) n 4 Absolute Error in S(n)
Transcribed Image Text:Apply Simpson's Rule to the following integral. It is easiest to obtain the Simpson's Rule approximations from the Trapezoid Rule approximations. Make a table showing the approximations and errors for n = 4, 8, 16, and 32. The exact value of the integral is given for computing the error. 8 f3e- 3e-3x dx=1-e-24 1.000000 0 Complete the table below. (Type integers or decimals. Round to six decimal places as needed.) Absolute Error T(n) S(n) in T(n) n 4 Absolute Error in S(n)
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