practice exam b

practice exam b - Seat Math 116 CALCULUS II PRACTICE EXAM...

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Math 116 CALCULUS II PRACTICE EXAM – FINAL B (For In-Class) December 5 (Thu), 2013 Seat # : Instructor: Yasuyuki Kachi Line #: 23590. ID # : Name : This is ‘Version B’ of the practice exam. (There are ‘Versions A,C’.) The actual exam may not be very similar to these practice exams. The purpose of these practice exams is to give you an idea of how the actual exam will look like, in terms of the length and the format. This practice exam is for the “in-class” portion of the exam only. [I] (30pts) Let J ( x ) be defned over the interval p - ∞ , + P . Assume J ( 0 ) = 1 and moreover that For an arbitrary positive integer J (2 - 1) ( 0 ) = 0, J (2 ) ( 0 ) = p - 1 P p 2 - 1 P ! ! p 2 P ! ! . (1) J (1) ( 0 ) = 0, J (2) ( 0 ) = - 1 !! 2 !! , J (3) ( 0 ) = 0, J (4) ( 0 ) = 3 !! 4 !! , J (5) ( 0 ) = 0, J (6) ( 0 ) = - !! !! , J (7) ( 0 ) = 0, J (8) ( 0 ) = !! !! , · · · · · · 1
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Line #: 23590. ID # : Name : ([I] continued) (2) Use the general Taylor’s formula to write out the Taylor series for J ( x ) : (2a) J ( x ) = s =0 · x 2 .
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practice exam b - Seat Math 116 CALCULUS II PRACTICE EXAM...

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