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. sin 5t - 6 (1+6 *) (Type integers or decimals. Round to six decimal places as needed.). T(n) S(n) Absolute Error in T(n) n HITR 4 8 16 32 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. sin 5t - 6 (1+6 *) (Type integers or decimals. Round to six decimal places as needed.). T(n) S(n) Absolute Error in T(n) n HITR 4 8 16 32 Absolute Error in S(n)
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: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.
(Type integers or decimals. Round to six decimal places as needed.)
Absolute Error
T(n)
S(n)
in T(n)
n
sin 5t dt = (1 + e*)
26
4
8
16
32
Absolute Error
in S(n)
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