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Q15 of 45 Page 1

If show that (1 – x2)

Given: … (1)


Differentiating both sides w. r. to x, we get





Using (1),



Again, differentiating both sides w. r. to x, we get





Hence, proved.


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13

Let f:N → N is defined by for all n ∈ N.

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Evaluate:

OR


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On a multiple-choice examination with three possible answers (out of which only one is correct) for each of the five questions, what is the probability that a candidate would get four or more correct answers just by guessing?

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Using properties of determinants, prove the following:

Questions · 45
All India-2009
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