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Question: Derive the error-correction form in Equation for a VAR(p) model.
Find the Laplace transform of sin(2t). From the table of Laplace transforms, the Laplace transform of sin(2t) is
Fix a modulus m and use the affine cipher with key k1 = (a, b) to encrypt an element x; then encrypt the result with a key k2 = (c, d). What is the resulting cipher
Find an expression for the scalar field h in spherical coordinates - Determine the gradient grad h and the value of |grad h| in spherical coordinates.
Develop a Research Question: In your area of interest, think about a research question that could be answered using a hypothesis test. Write down this research question, and explain what your research is trying to investigate.
How can the Frank-Wolfe algorithm be efficiently combined with the decomposition approach presented in this chapter, to find the optimal solution to the nonlinear program defined by maximizing the expected utility given above?
Honors Examination 2013: Algebra. Let G be the group with presentation - (x, y, z | x2y2 = x2z2 = y2z2 = xyx-1y-1 = xzx-1z-1 = yzy-1z-1 = 1). Compute the order of G and describe its structure
How many units of each product are produced to maximize the total profit contribution? What is the projected weekly profit associated with the solution?
FC091 Applications of Mathematics. You also need to calculate how long it will take to build the project. Use the table below to calculate the construction programme (method). You can do several tasks at once, but the more people you use, the high..
The profit from each acre of potatoes is $220; the profit from each acre of rice is $590. The Hongs want to know how many acres of each crop to plant in order to maximize their profit.
Is the problem a convex optimization problem? If yes, give a complete proof. If no, explain why not, giving complete explanations
Describe the statistical analysis. (HINT: This should either be a correlation/regression depending on your research question). What is your IV(s)? What is your DV? What level of measurement are your IV(s) and DV? What is your alpha level?
Explain the changes in M1 and M2, if an individual moves money from a small denomination time deposit to a demand deposit account?
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