Question

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Answer is 1005
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Answer 1

Answer is 1005

Answer is in attachment

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Answer 2

Answer:

OPTION C

Step-by-step explanation:

Given :

f ( k ) = k / 2009

g ( k ) = [ k⁴ / ( 2009 )⁴ ] / [ ( 1 - k/2009 )⁴ + k⁴/2009⁴ ]

= > g ( k ) = k⁴ / [ ( 2009 - k )⁴ + k⁴ ]

Now :

g ( 0 ) + g ( 1 ) + ......... g ( 2009 )

= > 0 + 1⁴/ ( 2008⁴ + 1⁴ ) + 2⁴/ ( 2007⁴ + 2⁴ ) + .....

We are seeing that this data will be added to give 1005 times 1 because it is continuous and symmetric if you observe .

1 + 1 + ..... 1005 times ( 2009/2 approx )

= 1005

So OPTION C is the answer .