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An LCG (a, c, m, x0) is defined by 4 parameters. Using LCG (1, 2, 11, 5) generate the first two random numbers (x1 and x2) and use them to generate random variates from the normal distribution. They are (Choose the closest values): a.3.040, 1.920 b.-0.125, 0.605 c.0.000, 0.156 d.0.350, 0.910

Max x+ln(1+y)

s.t px+y

write down the kun tucker conditions ofr (x^x,y^x) to be a solution

Th e diagrams show quadratic graphs and their equations. Find the value of a in each case.

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Two players A and B play a game: B hides a five rupee coin under one of the 2 tins he has. if A correctly guesses the tin that contains the coin she gets the coin. if her guess is wrong she pay rupees 2 to B. How to formulate the game as matrix game? Solve the game and find the optimal strategies for both the players as well as the value of the game.

The following arbitrary measurements are made and the errors sited are the maximum errors A=15.21±0.01,B=10.82±0.05, C=11.00±0.03 . If D=A+B+C; 
a) calculate the maximum error in D
b) if the errors sited are standard errors,calculate the standard error in D. 

The blind men and the elephant is a famous indian fable that tells the story of six blind sojourners that come across different parts of an elephant in their life

journeys. In turns each blind creates own version of reality from that limited experience and perspective. How you relate this story in the study of mathematics?