(it) sin INCERT: marakhand B 2013

If f(x+y)=f(xy) AA x, y epsilon R, and f (2013) =2013 , then f(-2013) equals

Ratio of Expenditure of Companies A and B in 2013 was 4:5 What was the ratio of their incomes in the same years ?

Find the remainder when 1^(2013)+2^(2013)+3^(2013)+...+2012^(2013) is divisible by 2013

The digit in the unit place of 17^(2013)+11^(2013)-7^(2013)

Capital at the end of year 2012 was Rs. 100 crore and at the end of the year 2013 was Rs. 110 crore. Depreciation during the year 2013 was Rs. 5 crore. Gross investment during 2013 is :

If the incomes of the B in 2012 and 2013 were in the ratio 3:4 Find the ratio of Expenditure of that company in theses 2 years ?

let A=[[1,1],[0,1]] and P=[[cos(pi/6),sin(pi/6)],[-sin(pi/6),cos(pi/6)]] and Q=PAP^T then P^T Q^2013 P (i) [[1,2013],[0,1]] (ii) [[0,2013],[0,1]] (iii) [[2013,0],[0,2103]] (iv) [[0,2103],[2013,0]]

If f(x) = (sin^4x+cos^2x)/(sin^2x+cos^4x) for x in R , then f(2013)=