sp16-cvt-q8-sol - Information Technology University Lahore Quiz 8 Spring 2016 MT241 Complex Variables and Transforms Friday 27 May 2016 Time 20 minutes

sp16-cvt-q8-sol - Information Technology University Lahore...

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Information Technology University, Lahore MT241 Complex Variables and Transforms Quiz 8 Spring 2016 Friday, 27 May 2016 Time: 20 minutes Maximum Marks: 25 Use blue or black ink only. Handwriting must be neat and legible; marks shall be deducted otherwise. Name Roll Number 1. Define aperiodicfunction.[5] 2. A function f t is defined as, f t sin t sin 2 t (a) What is the period of this function? [5] Solution The time period of sin t is π , and the time period of sin 2 t is also π . Hence the sum of these two functions is also π . (b) What is the average value of this function over a complete period? [5] Solution The average value of a function f x over an interval a, b is given by f t 1 b a ˆ b a f t dt We apply this definition to find the average value of the given function.
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  • Spring '16
  • Irfan Iqbal
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