quiz_01aae_taylorseries(1)

quiz_01aae_taylorseries(1) - x . However, one can expand...

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01.07.1 Multiple-Choice Test Chapter 01.07 Taylors Series Revisited 1. The coefficient of the 5 x term in the Maclaurin polynomial for ( ) x 2 sin is (A) 0 (B) 0.0083333 (C) 0.016667 (D) 0.26667 2. Given ( ) 6 3 = f , ( ) 8 3 = f , ( ) 11 3 = f , and that all other higher order derivatives of ( ) x f are zero at 3 = x , and assuming the function and all its derivatives exist and are continuous between 3 = x and 7 = x , the value of ( ) 7 f is (A) 38.000 (B) 79.500 (C) 126.00 (D) 331.50 3. Given that ( ) x y is the solution to 2 3 + = y dx dy , 3 ) 0 ( = y the value of ( ) 2 . 0 y from a second order Taylor polynomial written around 0 = x is (A) 4.400 (B) 8.800 (C) 24.46 (D) 29.00 4. The series ( ) = 0 2 4 )! 2 ( 1 n n n n n x is a Maclaurin series for the following function (A) ( ) x cos (B) ( ) x 2 cos (C) ( ) x sin (D) ( ) x 2 sin
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