M251final(fa01)

# M251final(fa01) - MATH 251 Final exam Dec 14 2001 Name...

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MATH 251 Final exam Dec. 14, 2001 Name: Student Number: Instructor: Section: There are 11 partial credit questions. Please show all of your work, as an unsupported answer will not earn any credit. A table of Laplace transforms is included at the end of the exam. THE USE OF CALCULATORS IS NOT PERMITTED.

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MATH 251 -Final Exam- 1. (10 pts.) Find the solution of (1+ t ) y 0 = y . You may leave your answer in implicit form. Page 2 of ??
MATH 251 -Final Exam- 2. (15 pts.) Find the Fourier series for the function de±ned by f ( x ) = 0 - 4 π x < - π 3 - π x < π 0 π x < 4 π , f ( x + 8 π ) = f ( x ) . Page 3 of ??

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MATH 251 -Final Exam- 3. (10 pts.) Consider the following function, de±ned for 0 x 3: f ( x ) = ½ - 1 0 x 2 2 2 < x 3 (a) Graph the even extension of f ( x ) on the interval - 2 x 2. (b) Graph the odd extension of f ( x ) on the interval - 2 x 2.
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## This note was uploaded on 07/23/2008 for the course MATH 251 taught by Professor Chezhongyuan during the Spring '08 term at Penn State.

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M251final(fa01) - MATH 251 Final exam Dec 14 2001 Name...

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