Description of Abelian group
Modern Algebra Group Theory (VII) To prove that if G is an abelian group, then for all a,b belongs to G and all integers n, (a.b)^n=a^n.b^n.
Modern Algebra Group Theory (VII) To prove that if G is an abelian group, then for all a,b belongs to G and all integers n, (a.b)^n=a^n.b^n.
Alice: "I'm thinking of a polynomial f(x) with non-negative integer coefficients. Can you tell which one?" Bob: "Well, I need some information." Alice: "You can pick any real number r and I'll tell you f(r). Um....that is, I'll tell you finitely many digits of f(r) - but as many as you want." Bob: "Gee - just one value
--- 1. Consider the following market demand and asymmetric cost functions for the airplane production industry. Market Demand is: P=200- (qA + qB) Cost Function for Boeing: C(qB) = 40 qB Cost Function for Airbus: C(qA) = 30 qA a.) Assume that the two act according to the Cournot mo
Classify the indecomposable representations of the quiver A_n with the orientation: o -> o -> o -> ... -> o
Modern Algebra Group Theory (IV) To determine whether the system described is a group. G = set of all integers, a.b = a + b
Modern Algebra Group Theory (II) Determine whether the system described is a group. G = a_0, a_1, a_2, a_3,...... where a_i.a_j = a_(i + j)
Modern Algebra Group Theory (I) G contains all symbols a^i, i = 0,1,2,......., n - 1 where we insist that a^0 = a^n = e, a^i.a^j = a^(i + j)
Log(2x+3)=log(4x)+2 Solve for x.
1. graph f(x) = + 5x+ 4 be sure to label all the asymptotes and to list the domain the x and y- intercept 2. f(x) = +3, x - sketch the graph and use the graph to determine whether the function is one to one -if the function is one to one find a formula the inverse 3. In ch
If a manufacturer of lighting fixtures has a daily production cost of (x)=800-10x+0.25x^2 where c is the total cost in dollars and x is the number of units produced. - How many fixtures, x, should be produced each day to minimize the cost? - What would it cost, c(x) to produce that many fixtures?
(See attached file for full problem description) --- For the A-matrix: 5x1 + 9x2 + 2x3 = 24 9x1 + 4x2 + x3 = 25 2x1 + x2 + x3 = 11 construct an orthonormal basis with a1 and then a2 and then a3. Next, expand the given vector b in terms of those vectors. ---
For any a, b ! N, show that Q_√a + √bi=Q_√a, √bi. Where N is the set of natural numbers and Q is the set of rational numbers.
SOLVE BY DRAWING THE APPROPRIATE GRAPH AND SHOW WORKING OUT X3-X2-5X+2=0
Let F be an extension field of K. If u is an element of F is transcendental over K, then show that every element of K(u) that is not in K in also transcendental over K. Hint for proof: Suppose y is an element of K(u). Then for some g(x), h(x) elements of K[x], we have y = g(u)/h(u). Assume that y is algebraic over K and think
Find the values of x for any points where the curve 2x^2+xy+3y^2=54 has a vertical tangent. Choices are:A. (18*(square root of 46))/23, B. (18*(square root of 20))/5, C. (5*(square root of 3))/23, D. (16*(SQAURE ROOT OF 23))/25 OR NONE OF THESE. Please show work.
(See attached file for full problem description) --- 2. Page 237, problem 102 Increasing deposits. At the beginning of each year for 5 years, an investor invests in a mutual fund with an average annual return of r. The first year she invest $10; the second year, she invest $20; the third year; she invests $30; the fo
Classsify the indecomposable representations of the following quivers: 1. o -> o <- o 2. o -> o <- o ^ l o
(See attached file for full problem description with proper equations) --- Let p be an odd prime and let be the p-th cyclotomic polynomial. Use the fact that to show that , and so find coefficients such that . Hence show that is irreducible over by using Eisenstein's criterion.
Calculate the cost per square inch of pizza of the following: 14" square pizza for $10.99 18" round pizza for $10.99 two 12" round pizzas for $10.99
Page 569 Problem 14 3x-x^2 Page 577 Problem 88 solve and graph
(See attached file for full problem description with proper equations) --- ? Can you please show me how to solve the following problems without a calculator? thanks ? x^(2/3)=9 ? (2/3)^-x= (27/8) ? 27^(4/3)=x ? 2.8=-2.5 ln (x-70/98.6-70) ? 2/3 [(log2(x-2)+log2(x+2)-log2(x-3)] ===
What is the remainder... (See attached file for full problem description)
Use the Pollard-Rho method... (See attached file for full problem description)
I am unable to understand the concept of writing a single logarithim with a coefficient of 1. A sample problem was given and I have shown it below. ln3-2ln4+ln32
A) Solve the equation for x logx + log 4x=16 b) Rearrange to make x the subject y = 2logx.
The Employee Credit Union at Directional State University is planning the allocation of funds for the coming year. ECU makes four types of loans and has three additional investment instruments. Each loan/investment has a corresponding risk and liquidity factor (on a scale of 0-100, with 100 being the most risky/liquid). The v
At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 17 knots and ship B is sailing north at 19 knots. How fast is the distance between the ships changing at 4 PM, in knots? (1 knot is a speed of 1 nautical mile per hour) - The final result is not around 25 (i.e. 25.XX is not correct). Please check
Express as a product: log7 4√[y]
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