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 far 6e-6x dx=1-e-48 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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Chapter2: Second-order Linear Odes
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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
fear-a
6e
dx=1-e-48 1.000000
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)
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 fear-a 6e dx=1-e-48 1.000000 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) 4 Absolute Error in S(n)
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