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1. Let , where are independent identically distributed random variables according to an exponential distribution with parameter μ. N is a Binomially distribut
Let Xn be a sequence of distinct real numbers. Define E = {L : L is a subsequential limit of Xn}. Prove E is closed.
Limit Comparison Test Assume that we have two series ∑a n and ∑b n with a n , b n ≥ 0 for all n. Determine, If c is positive (i.e. c > 0 ) and is finite (i.e. c
definition and examples and types
a child prepares a poster to save energy on a square sheet whose each side measures 50 cm . At each corner she draws a quadrant of radius 5 cm and the centre of a circle of diamete
Ut=Uxx+A exp(-bx) u(x,0)=A/b^2(1-exp(-bx)) u(0,t)=0 u(1,t)=-A/b^2 exp(-b)
Prove: 1/cos2A+sin2A/cos2A=sinA+cosA/cosA-sinA
Calculate subsequent proportion: A recipe calls for 1(1/2) cups of flour to make servings for 6 people. How much flour should be used to make servings for 4 people? Solut
max z=3x1+2x2 s.t x1+2x2 3x1+2x2>=6 x1+4x2 x1,x2,x3>=0
(a) Derive the Marshalian demand functions and the indirect utility function for the following utility function: u(x1, x2, x3) = x1 1/6 x2 1/6 x3 1/6 x1≥ 0, x2≥0,x3≥ 0
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