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practice exam c

# practice exam c - Seat Math 116 CALCULUS II PRACTICE EXAM...

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Math 116 CALCULUS II PRACTICE EXAM – FINAL C (For In-Class) December 5 (Thu), 2013 Seat # : Instructor: Yasuyuki Kachi Line #: 23590. ID # : Name : This is ‘Version C’ of the practice exam. (There are ‘Versions A,B’.) 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] (40pts) Give the Taylor series expression for arctan x : arctan x = = s n = ( 1 ) x . The radius of convergence R = . 1

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Line #: 23590. ID # : Name : ([I] continued) (2a) Find the derivative: d dx p arctan x P = . (2b) Evaluate: i + x =0 1 x 2 + 1 dx = b B + x =0 = = . 2
Line #: 23590. ID # : Name : [II] (40pts) (1) Complete Machin’s formula: π = s n = p 1 P = . (2a) Complete BBP formula: π = s n = ± ² n . = . 3

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Line #: 23590. ID # : Name : ([II] continued) (2b) Use calculator to give a ballpark estimate of the Frst three terms of the BBP formula in decimals. The required degree of accuracy is up to the given number
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