Operations Research — Page 1 — Tinkutara Math Forum

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p= number of responses/total number of responded

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Given a consumer with the utility function U = X_1 ^(1/4) + X_2 who faces a budget constraint of B=P_1 X_1 P_2 X_2 Show that the expemditure function facing the consumer is B = 2P_1 ^(1/2) P_2 ^(1/2) U^(1/2)

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Question 208608

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Given the function f(x) = { ((2, 0< x <2)),((−2, −2 <x < 0)) :} of period 4 (a) sketch the graph of y = f(x) , for −6 < x < 6 (b) Find the Fourier coefficient a_0 , a_n , and b_n (c) write down the Fourier series. (d) hence show that Σ_(n=1) ^∞ (((−1)^n )/(2n−1)) = (π/4)

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Question 204104

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(sin54)^(10) =x_1 x_(1 ) is root ax^2 +bx+c=0 a,b,c is integer a=?

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(((1+(√5))/2))^(15) =((a+b(√5))/2) find a+b

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Question 181400

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Question 179857

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Question #178653

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calculer la branche infinie de(√(x^2 +2x+4))

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calculer une primitive de −3x/(√(x^2 +3))

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etudier la fonction suivante 4x^3 −9x^2 +6x+1 calculer les limites puis dresser son tableau de variation

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donner la forme trigonometrique(i−1)^5 /(i−4)^4

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Question #176719

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donner la forme trigonometrique de 1/4(cosΠ/9+isinΠ/9)

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lineariser sin^5 (x)

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donner la forme trigonometrique de(1−i(√)3)(1+i)(cosθ−isinθ)

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Question #176123

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Question #176118

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determiner z tel que z=z^2 −z+2

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demontrer par recurrence que pour tout n>0 appartenent a l ensemble des entier naturel 3^(2n−2^(n ) ) est multiple de 7

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x^2 −4x+5=0

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calculer (−1/2+i(√(3/2)^3 ))

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how the next number 1,2,5,9,6,13,8,17,....

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Question 154561

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Γ(((n+1)/(1−i)))=????

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e^((((ζ(2))/2)−((ζ(3))/3)+((ζ(4))/4)−((ζ(5))/5)+...)) =?

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∫_0 ^∞ ((1/( (√(1+x))))−(1/( (√(1+x^2 )))))(dx/x)=log(2)

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wich program to run genetic algorithm?

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Question 137575

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Question 137574

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(1/(1+(π^2 /(1+(((π+1)^2 )/(1+(((π+2)^2 )/(1+...))))))))+(1/(1+(((π+1)^2 )/(1+(((π+2)^2 )/(1+...))))))=(1/π) Prove or disprove

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((1+(1/2^2 )+(1/3^2 )+...)/4^2 )+((1+(1/2^3 )+(1/3^3 )+(1/4^3 )+..)/4^3 )+((1+(1/2^4 )+(1/3^4 )+...)/4^4 )+..=(3/4)log(2)−(π/8)

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(1/(1+(η^2 /(1+(((η+1)^2 )/(1+(((η+2)^2 )/(1+(((η+3)^2 )/(1+..)) ))))))))=(1/2)ψ(((η+2)/2))−(1/2)ψ(((η+1)/2)) (η>0) Or K_(r=0) ^∞ (η+r)^2 =(2/(ψ((η/2)+1)−ψ(((η+1)/2))))

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...+(1/((1−2π^2 )^2 ))+(1/((1−π^2 )^2 ))+1+(1/((1+π^2 )^2 ))+(1/((1+2π^2 )^2 ))+...=((csc^2 ((1/π)))/π^2 )

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∫_0 ^1 log^2 (Γ(x))dx

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[ (x+1)^(2 ) D^2 +(x+1)D+1 ]y = 4cos (ln( x+1))

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Solve 134^(x+1) =16^x −768

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Question 129102

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A_n =(1+(√5))^n −(1−(√5))^n A_n =????

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W_n =Σ_(k=1) ^(2n) (k/(n^2 +k^2 )) montrer que W_n converge et calculer la valeur de W_n

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Given that a, b and c are real numbers that stisfy the system of equation above a − (√(b^2 − (1/(16)) )) = (√(c^2 − (1/(16)) )) b − (√(c^2 − (1/(25)))) = (√(a^2 − (1/(25)) )) c − (√(a^2 − (1/(36)) )) = (√(b^2 − (1/(36)))) if a+ b + c = (x/( (√y))) where x, y are positive integers and y is square free, find the value of x + y !

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when do I use ∣x∣ for (√x^2 )?

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A binary operation has the property a∗(b∗c) = (a∗b)•c and that a∗a=1 for all non−zero real numbers a,b and c. (′•′ here represent multiplication). The solution of the equation 2016∗(6∗x)=100 can be written as (p/q) where p and q are relatively prime positive integers. What is q−p?