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HW1-2

# HW1-2 - ECE 302 Homework#1...

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ECE 302, Homework #1 http://www.ece.purdue.edu/ chihw/ECE302 07.html Prof. Chih-Chun Wang Email: [email protected] Office: MSEE354 Office Hours: MWF: 12pm–1pm TA: Kamesh Krishnamurthy, Email: [email protected] Office: POTR 370 Office Hours: M: 10–11am TTh: 10:30am–12:30pm Review of Calculus: Question 1: Compute the values of the following integrals, given the condition that λ > 0. Z 1 1 x 2 dx Z 0 λe - λx dx Question 2: Compute the expressions of the following indefinite integrals. Z ye - y 2 2 x 2 dy Z Z xe yz dzdx Question 3: Compute the values of the following integrals. Hint: It can be solved by inspection. Z 10 - 10 ye - 2 | y | dy Z 20 - 20 x 3 e - x 2 10 dx

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Question 4: Compute the values of the following indefinite integrals. Hint: Use the integration by part formula. Z 0 z 0 . 5 e - 0 . 5 z dz Z 0 z 2 0 . 5 e - 0 . 5 z dz Question 5: Compute the bilateral Laplace transform of the following functions. f ( x ) = ( 0 . 5 e - 0 . 5 x if x 0 0 otherwise g ( x ) = ( 1 / 3 if x [0 , 3] 0 otherwise Hint: The bilateral Laplace transform of any function f ( x ) is defined as L f ( s ) = Z
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HW1-2 - ECE 302 Homework#1...

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