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# hw1 - ECE 301 Homework#1 due date...

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ECE 301, Homework #1, due date: 1/18/2012 https://engineering.purdue.edu/ chihw/12ECE301S/12ECE301S.html Review of calculus and arithmetics: Question 1: Compute the values of the following integrals. You can leave your answers in the form of trigonometric function values such as “cos(1 . 35).” There is no need to use calculator to find the numerical value of the final answer. π 4 π cos(3 ω - π - πω 4 ) 1 π 0 sin( π/ 4 + 2 u ) du 2 . 5 x =0 2 y =1 sin( 3 5 - 2 ) dydx Question 2: Compute the values of the following integrals. 2 π 4 π 3 | t + π | e j 2 π 3 t dt 2 2 ω cos( π 2 ω ) 3 3 ( | z - 2 | ) e j 2 πz dz Question 3: Compute the values of the following integrals. 4 1 | sin( πω ) + j (2 + ω ) | 2 3 1 5 2 1 (1 - t ) + j 2 t 2 dsdt

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Question 4: Compute the expressions of the following integrals. 2 ω 0 ( t + 2 s ) e jωπ (2 t + s ) dt and 1 T ( T/ 2 T ( T 2 - t ) e j 2 T t dt + 2 T T/ 2 ( t - T 2 ) e j 2 T t dt ) , where k is an integer.
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