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Q19 of 45 Page 1

Evaluate:

OR


Evaluate :

Let ex = t



⇒ dt = exdx


Therefore, our integral becomes





Let k = t + 2


⇒ dk = dt


Therefore, our integral becomes






OR


Let






Applying integration by parts on RHS





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17

A die is thrown again and again until three sixes are obtained. Find the probability of obtaining the third six in the sixth throw of the die.

18

Differentiate the following function w.r.t. x:

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Prove that the relation R on the set A = {1, 2, 3, 4, 5} given by R = {(a, b) :|a - b| is even }, is an equivalence relation.

21

Finddy/dx if (x2 + y2)2 = xy.

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If y = 3 cos(log x) + 4 sin(log x), then show that x^2 d^2y/dx^2 + x dy/dx + y = 0

Questions · 45
Delhi-2009
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