5) Approximation and error It is known that: cos (x) = (-1)kx²k (2k)! k=0 Truncate the series to compute the first 8 estimates (i.e. k = 0, 1,.,7) for x = . You must use a for loop. All calculations and printing the table described below should be done from within the loop. Arrange your results in a table using fprintf that has column 1 as the '# of Terms' included in the estimate (not the k value), the second column the 'Estimate', the third column the 'True Error' and the fourth column the 'Magnitude of the Approximate Percent Relative Error', 'MAPRE'. Express everything, except the number of terms, in decimal format with 10

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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5) Approximation and error
It is known that:
# of terms
cos (x)
Estimate
=
k=0
You must use
Truncate the series to compute the first 8 estimates (i.e. k = 0, 1,
a for loop. All calculations and printing the table described below should be done from within
the loop. Arrange your results in a table using fprintf that has column 1 as the '# of Terms'
included in the estimate (not the k value), the second column the 'Estimate', the third column
the 'True Error' and the fourth column the 'Magnitude of the Approximate Percent Relative
Error', 'MAPRE'. Express everything, except the number of terms, in decimal format with 10
digits after the decimal point. The header should look exactly like this:
(−1)k x²k
(2k)!
True Error
.,7) for x =
MAPRE
T
Transcribed Image Text:5) Approximation and error It is known that: # of terms cos (x) Estimate = k=0 You must use Truncate the series to compute the first 8 estimates (i.e. k = 0, 1, a for loop. All calculations and printing the table described below should be done from within the loop. Arrange your results in a table using fprintf that has column 1 as the '# of Terms' included in the estimate (not the k value), the second column the 'Estimate', the third column the 'True Error' and the fourth column the 'Magnitude of the Approximate Percent Relative Error', 'MAPRE'. Express everything, except the number of terms, in decimal format with 10 digits after the decimal point. The header should look exactly like this: (−1)k x²k (2k)! True Error .,7) for x = MAPRE T
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