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UCB - MCD4490 Advanced Mathematics - Trimester 1 - 2025

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If and  then  is equal to

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If where is a positive constant and, and , then is given by

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The complex number in polar form is 

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Let  where  .

The expression  is equal to

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The following expression can be simplified in Cartesian form as  
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Let .

The imaginary part of is

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If the imaginary part of is

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If , then Arg is equal to

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The region of is

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The graph of the rule is

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