Advance Math question and answers for July 18, 2023
- Q Set up the addition and multiplication tables for Z3 andZ6.Use these tables to verify that (Z3, +), (Z3 \ {0}, ·) and (Z6, +)are groups, but (Z6 \ {0}, ·)...
- Q Consider the equivalence relation on Z defined by theprescription that all positive numbers are equivalent, all negativenumbers are equivalent, and 0 is only equivalent to itself. Let f ∶Z →...
- Q 10.You are valuing Soda City Inc. It has $150 million of debt, $70million of cash, and 200 million shares outstanding. You estimateits cost of capital is 8.0%. You forecast that...
- Q 3. Show that the Galois group of (x2 −3)(x2 + 3) over Q is isomorphic to Z2 ×Z2.4. Let p(x) be an irreducible polynomial of degree n over afinite field...
- Q Let F be a field and R = Mn(F) the ring of n×n matrices withentires in F. Prove that R has no two sided ideals except (0) and(1).
- Q Sometimes a constant equilibrium solution has the property thatsolutions lying on one side of the equilibrium solution tend toapproach it, whereas solutions lying on the other side depart fromit. In...
- Q For the following exercises, solve the systems of linear and nonlinear equations using substitution or elimination. Indicate if no solution exists.
- Q Once you have a system of equations generated by the partial fraction decomposition, can you explain another method to solve it? For example if you hadwe eventually simplify to 7x...
- Q Solve y^4-4y\"=g(t) using variation of parameters.
- Q Two large containers A and B of the same sizeare filled with different fluids. The fluids in containersA and B are maintained at 0° C and 100° C,respectively. A small...
- Q For the following exercises, determine whether the given ordered pair is a solution to the system of equations.−2x + 5y = 72x + 9y = 7 and (−1, 1)
- Q Verify the Duality Theorem 4.1.9 on each of the followingLOPs.a.Max. z= −211x1 −189x2 −106x3 −175x4s.t. 4x1 +6x2 −5x3 +3x4 ≤ 22x1 +4x3 +9x4 ≤ 18−3x1 +2x2 −2x3 ≤ 275x2 −2x4...
- Q A group of young people were asked how many times they have beenstopped and questioned by the police:                                            Non-White           WhiteMean # of Stops             4.95 .99Varriance 4.11 6.08Sample size 155 310We need t-test in...
- Q Tak took out a loan for $5,000 at 4% interest. To repay the loanhe must make a payment of $672.46 at the end of each year for 9years. How much...
- Q Problem 1. Determine the length, the size, andthe minimal distance for each q-ary code C below. How many errorscan each code correct? detect?(a) C = { (0, 0, 0, 0,...
- Q A=[ 7 8 -2 -6 7 4 1 ; 2 4 -4 -13 9 9 -12 ; 6 6 0 -9 8 9 -4 ; 1 8-14 -22 5 8...
- Q find real solutions : x^3+6x^2-6=0
- Q 1. Evaluate the general solutions of the followingdifferential equations:(A) y''+y= 1/cos(x)(B) y'''-y''= -3x+1(C) 2(y')^2= y''(y-1)
- Q Convert the following to a decimal, scientific notation, andengineering notationDecimal to scientific and engineering notation: 270, 14600,0.000456, 0.022, 0.000000051, 66500000, 423000, 0.78Scientific notation to decimal and engineeringnotation,4.5x10^4, 6.8x10^-8, 2.7x10^5, 7.22x10^-2,...
- Q Assume you have been given $400,000 CAD withaccess to all listed stocks, bonds, futures, and options worldwide.You can trade in options and futures, in combination with theunderlying asset. Assume today...
- Q Use generating functions to solve the following recurrencerelation: an = 2an−1 + 3n , n ≥ 1 a0 = 2
- Q -You are not happy with the performance of the leadership in yourschool and you decided to start change to better improve theleadership practices and qualities. Use Lewin's Management ChangeModel to...
- Q Given n ∈N and p prime number and consider the polynomial f (x) = xn (xn-2)+1-p1)Prove that f (x) is irreducible in Q [x]2) If n = 1 and p...
- Q Kolkmeyer Manufacturing Company is considering adding twomachines to its manufacturing operation. This addition will bringthe number of machines to ten. The president of Kolkmeyer asked fora study of the need...
- Q Let P be an external point of a circle. Given two distinctsecants PAB and PCD such that ABand CD are chords of the circle. We know that PA x PB...
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