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Find the Maclaurin Polynomial of Degree 4 for the Function f(x)=cos(5x)f ( x ) = \cos ( 5 x )

Question 83

Multiple Choice

Find the Maclaurin polynomial of degree 4 for the function. f(x) =cos(5x) f ( x ) = \cos ( 5 x )


A) 1+252x262524x41 + \frac { 25 } { 2 } x ^ { 2 } - \frac { 625 } { 24 } x ^ { 4 }
B) 1252x2+62524x41 - \frac { 25 } { 2 } x ^ { 2 } + \frac { 625 } { 24 } x ^ { 4 }
C) 11256x2+62524x41 - \frac { 125 } { 6 } x ^ { 2 } + \frac { 625 } { 24 } x ^ { 4 }
D) 1+1256x262524x41 + \frac { 125 } { 6 } x ^ { 2 } - \frac { 625 } { 24 } x ^ { 4 }
E) x1256x3+62524x5x - \frac { 125 } { 6 } x ^ { 3 } + \frac { 625 } { 24 } x ^ { 5 }

Correct Answer:

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