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Formulate and solve the LP to find the least-cost means of shipping supplies from the factories to the warehouses.
Verify that Gregory’s series is correct by using a Taylor Series expansion or methods of power series.
Space Constrained Inventories.A grocer has exactly 1,000 square feet available to display and sells 3 kinds of vegetables.
Determine whether each of these infinite series are convergent or divergent. Justify your answer.
Consider the real linear map.Compute det(A sub alpha) and det (A sub alpha bar). Interpret.
Let X = (xn) and Y = (yn) be sequences of real numbers that converge to x and y respectively, and let c be an element R.
Multiply the three matrices together in order (A*B*C) to get a fourth matrix 'D'. What is the fourth matrix?
F(x)=square root 4+x and G(x)=square root 1+x by writing square root of 4+x=2 square root 1+1/4x and using substitution in one of the standard Taylor series.
Solve the system of equations by the Gaussian elimination method.
Let f, g be defined on A ? R to R , and let c be a cluster point of A. Suppose that f is bounded on a neighborhood of c and that limx?c g =0.
Discrete Math: Matrix Operations (Proofs).Prove or disprove that, for matrices A,B,C for which the following operations are defined:
Evaluate the determinant by expanding by cofactors..Solve the system of equations by the Gaussian elimination method.
How would economic pressures like inflation or deflation affect your decision to make a long term investment?
Working with matrices : Determinants and transposes. If A is a 3x3 matrix such that the determinant A is 2 and A1 is the transpose of A
Suppose X is a measurable space, E belongs to the sigma algebra ( I believe to the sigma algebra in X) , let us consider XE = Y.
Using the method of undetermined coefficients, find the solution of the system:
Let u = x + y/ 1-xy and v = tan-1x + tan-1y . If xy?1 , show that u and v are functionally related and find the relationship.
Fundamental subspace theorem.Show that the fundamental subspace theorem holds
Work distribution and equation solving. Solve using the Gaussian Elimination and show all work.
Suppose that {an} and {bn} are sequences of positive terms, and that the limit as n goes to infinity of (an/bn) = L > 0.
Use the inequality from part (b) to show that sn 0. Conclude the sequence is increasing.
A company produces desks on both the east and west coast. The east coast plant, fixed costs are 16000 per year and the cost of producing each desk is $90.
Matrices : Vector Equations.Step by step instructions and name each step like triangular form
Let r satisfy r2=r+1. Show that the sequence sn=Arn, where A is any constant, satisfies the Fibonacci relationship.
How many multiplications are necessary to find the determinants of matrices which are 2x2, 3x3, 4x4?