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All India-2011
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Q9 of 45 Page 1

Evaluate:

Given:


To find: the value of the given expression


Now let, logx=t


Differentiating on both sides we get,



Substituting this value in the given expression, we get



On integrating we get




Substituting back the value of t, we get



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28

Given three identical boxes I, II and III each containing two coins. In the box I, both coins are gold coins, in box II, both are silver coins, and in box III, there is one gold and one silver coin. A person chooses a box at random and takes out a coin. If the coin is of gold, what is the probability that the other coin in the box is also of gold?

29

A merchant plans to sell two types of personal computers — a desktop model and a portable model that will cost 25,000 and 40,000 respectively. He estimates that the total monthly demand for computers will not exceed 250 units. Determine the number of units of each type of computers which the merchant should stock to get maximum profit if he does not want to invest more than ` 70 lakhs and his profit on the desktop model is ` 4,500 and on the portable model is 5,000. Make an L.P.P. and solve it graphically.

10

Write the unit vector in the direction of the vector

19

Prove the following:

Questions · 45
All India-2011
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