NDA Math Miscellaneous

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For the next two(2) items that follow :
Consider f′(x)=
x2
2
−kx
+1
such that f(0)=0andf(3)=15
[NDA II 2015]
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Question : 20 of 24
 
Marks: +1, -0
The value of k is ?
[NDA II 2015]
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