practice-exam3-21b

# practice-exam3-21b - Math 21B UC Davis, Winter 2010 Dan...

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Math 21B UC Davis, Winter 2010 Dan Romik Sample Exam Important notes: 1. This is a sample exam. Disclaimer: I have tried to approximate the length, style and diﬃculty level of the ﬁnal exam, but I cannot guarantee that you will ﬁnd both exams equally challenging. Also, you should not assume that the precise choice of subject matter in the sample exam is representative of the ﬁnal exam. 2. The ﬁnal exam time is 2 hours. The sample exam is designed for a similar time frame, or maybe slightly longer. 3. Calculators and written notes are not allowed on the ﬁnal exam. 4. Numerical answers should be expressed in terms of known constants such as e,π, ln(2), etc., when necessary. Try to simplify expressions – e.g., write 0 instead of ln(1). Question 1 (24 points) Compute the following integrals: (a) Z π 0 ( x 2 + sin( x )) dx (b) Z sec 2 ( x ) dx (c) Z cos(2 x - 1) dx (d) Z (1 + x ) 7 x dx (e) Z b 1 ( e y + e - y ) dy (note: the answer is a function of b ) (f) Z 2 0 xe x 2 dx

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## This note was uploaded on 11/13/2011 for the course MATH 21B taught by Professor Vershynin during the Winter '08 term at UC Davis.

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practice-exam3-21b - Math 21B UC Davis, Winter 2010 Dan...

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