candy898

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An economy consists of service and food sectors. Assume that to produce $1 worth of service consumes 50 cents worth of service and 20 cents worth of food,and to produce $1 worth of food consumes 40 cents worth of serives and 20 cents worth of food. Assume that there is an external demand for $2 million worth of serices and $12 million worth of food.

a)Determine the comsumption matrix C for this economy.

b)In order to satisfy the demand, how much of each must be produce?(Find the production vector that will satisfy the demand.)

c)For this production vector, what is the value of serices that is consumed internally by the food industry ?

 

if I find fourier intergra solution if 1/pi∫ (form infintiy to 0)(a*cos(u*x)+u*sin(u*x))/a^2+u^2 du. can you polt the function to the integral converges? and can you plot the fourier intergral on a=1 and -1<=x<=3 with 0<=u<=20?

if  i use a fourier transform to find an integral representation for the solution is  U(x,t)=1-1/2*erf((x+a)/(2*square rootkt))+1/2*erf((x-a)/(2*square rootkt)), can you plot the sloution on the interval -5<=x<=5 with k=10^-6 and a=1 for t=10^5 and t=10^6 , give me two graph? erf mean is  Error function !

x^4-1equivalent 0 mod 29

after find root of inverse?

[A restatement, from my memory, of the essential detail of the original, deleted, question.--Carl Love as moderator]

1) a) Compute a primitive 4th root of unity modulo 29. Note that the command numtheory:-rootsofunity(p,r) will not work for this.

1) b) Compute the inverse of the root found in (a).

2) Letting omega be the root found in 1 (a), compute the matrix of the Discrete Fourier Transform DFT[omega] and the matrix of the inverse transform DFT[omega^(-1)]. Show that the product of these matrices is 4I (I being the identity matrix).

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