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(Solved): Max Errors: Error(T_(N))<=(K_(2)(b-a)^(3))/(12N^(2)),Error(M_(N))<=(K_(2)(b-a)^(3))/(24N^(2)), ...



Max Errors:

Error(T_(N))<=(K_(2)(b-a)^(3))/(12N^(2)),Error(M_(N))<=(K_(2)(b-a)^(3))/(24N^(2)),Error(S_(N))<=(K_(4)(b-a)^(5))/(180N^(4))

Find the maximum possible error associated in using

T_(10)

to approximate

\int_0^1 e^(-4x)dx

. Find the value of N for which

S_(N)

approximates

\int_0^((\pi )/(2)) sin(2x)dx

with an error of at most 0.001 .

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