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. 6 S5e-5 0 Complete the table below. (Type integers or decimals. Round to six decimal places as needed.) T(n) S(n) Absolute Error in T(n) n -5x dx=1-e-301.000000 4 Absolute Error in S(n) ...

Mathematics For Machine Technology
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ISBN:9781337798310
Author:Peterson, John.
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Chapter15: Roots
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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.
6
f5e-5
0
Complete the table below.
(Type integers or decimals. Round to six decimal places as needed.)
T(n)
S(n)
Absolute Error in
T(n)
n
-5x dx=1-e-301.000000
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. 6 f5e-5 0 Complete the table below. (Type integers or decimals. Round to six decimal places as needed.) T(n) S(n) Absolute Error in T(n) n -5x dx=1-e-301.000000 4 Absolute Error in S(n)
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