Rajiv Ray

Examine whether the following function is homothetic or not Z = 2logx + 3logy

Rajiv Ray

Monopoly

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Find the value of the function f(x) = x³-6x²+12 at the point of inflexion

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Find the extreme values of the function Y = 0•5x³ - 3x² + 6x + 10

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marginal propensity to import and the import function.

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Calculate the Lerner's index when demand function is given by q= kp²

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Cross price elasticity of demand

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Monopoly

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The real valued function is f(C) = (C+2)³ - 8. Find the point of inflexion.

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The probability distribution.

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Show that for a binomial distribution mean can never be less than its variance.

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The points of inflexion of normal distribution

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The IS equation is Y = 500-2000r. Do you think r=0•02 and Y=450 represent a point on the IS schedule

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Write down the p.m.f.of the Poisson distribution for which mean and SD are equal.

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Comment on the consistency of the following results For a Poisson distribution mean = 10 and SD=5

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Comment on the consistency of the following results for a normal distribution mean = 50, median=52

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Comment on the consistency of the following results For a binomial distribution mean=4 variance=3

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Can the skewness of the normal distribution be +5 Why or why not

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Calculation of income elasticity of demand .

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If P(AUB) =56, P(AB) =13 and P(A') = ½, find P(A), P(B). Hence show that A and B are independent

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IS LM model

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IS LM model.

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If f(x) =2x(x²+2) for which values of x f ' (x) = 0

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Comment on the curvature of the given function Y = 7 + 2p - p²

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(i) Cov(X, Y) (ii) correlation coefficient between X and Y.

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Find the slope and curvature of the level curve generated by the following function z =xy.

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If y = f(x) = (ax+b) (cx-a) show that f(y) = x.

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Find the third order derivative of the equation Y = 5X³.

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The total revenue is given by R = 100Q - Q². Calculate price elasticity of demand.

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Check whether the following function is concave, convex or neither Z = 2x²-xy+y²

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