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Advanced-Math Questions
Find all cyclic subgroups of U(30).
6. Establish the following quaternion identities: (a) (x1 + y1i + z1j + w1k)(x2 − y2i...
Suppose that 4?/(7+?)=∑?=0∞????.4x/(7+x)=∑n=0∞cnxn. Find the first few coefficients. ?0=c0= ?1=c1= ?2=c2= ?3=c3= ?4=c4= Find the radius...
Let S = {0,1} and A be any set. Prove that there exists a bijection between...
9) Find the maximal interval of existence, I, for each IVP given. A) (t^2 − 9)...
Suppose the charge account of Strong's Mailing Service at the local supply store had a 1.8%...
DISCRETE MATHEMATICS PROOF PROBLEMS 1. Use a proof by induction to show that, −(16 − 11?)...
determine the value of Legendre symbol (-8/47)
The Fibonacci series can be defined recursively as: F1 = 0; F2 = 1; and Fn...
1. (a) For each of x = 1, 2, 3, 4, 5, 6 find a ∈...
Possible Legendre Polynomial Series Solution needed I am stugglling because it looks like an legendre polynomial...
: Find solution to the following differential equations, t as independent variable I. u''+ 19211 =...
Find an example of a sequence, {xn}, that does not converge, but has a convergent subsequence....
Find the order of every element in the group Z2 time Z3.
a) How many positive divisors does 144 have? b) What is the sum of the positive...
Subject: Real Analysis: I need the proof and a case where the proof is true, an...
Suppose A and B are invertible matrices in Mn(R) and that A + B is also...
(1 point) Match the following nonhomogeneous linear equations with the form of the particular solution yp...
: 3.2.42. Find the Fourier series of the hyperbolic functions cosh m x and sinh m...
Solve the differential equation y"-4y'-12y=sin(2x)
A relation R on a set A is called circular if for all a,b,c in A,...
Apply fixed-point iteration to find the smallest positive solution of sin x = e −0.5x in...
Dodge is known for appearing in the most badass action movie stunts. Well, now we’re challenging...
Create vectors x=(1,2,...,10) and y=(2,2^2,...,2^10). Then compute the Euclidean distance and inner product between x and...
Suppose g : (a,b) ? R^n is a differentiable parametrized curve with the property that at...
1. A troop of 17 zombies store their brains in 11 piles of equal size with...
(a) Let the statement, ∀x∈R,∃y∈R G(x,y), be true for predicate G(x,y). For each of the following...
Compute the line integral with respect to arc length of the function f(x, y, z) =...
in the Gauss Elimination, what is the difference between the forward substitution and the backward substitution?
Let A,B and C be sets, show(Prove) that (A-B)-C = (A-C)-(B-C).
Suppose that you opened a pizzeria. From your experience, you know that if you charge $15...
Prove that any set of vectors in R^n that contains the vector zero is linearly dependent.
Bill is going on a trip. He can take some or none of the seven novels...
1.for all integer n amd m, if n-m is even then n^3-m^3 is even 2.) for...
Prove that 5 | Un if and only if 5|n. Where Un is the Fibonacci sequence.
Between 2005 and 2009, the average rate of inflation was about 3.6% per year. If a...
The number of visits to Smithsonian museums and institutions in United States have fluctuated in recent...
Suppose that t weeks after the start of an epidemic in a certain community, the number...
1) Find the order of the element 4 in U(7)
A) In this problem we consider an equation in differential form ???+???=0Mdx+Ndy=0. The equation (5?^4?+4cos(2?)?^−4)??+(5?^5−3?^−4)??=0 in...
Define the reverse of a string as follows: • aR = a where a ∈ Σ...
Use variation of parameters to find the general solution to: t2 y''(t) + 3t y'(t) -...
there are three kinds of boxes. The first kind costs $5 each, the second, $11 each,...
In this problem we consider an equation in differential form ???+???=0 The equation (6?^(1/?)+4?^3?^−3)??+(6?^2?^−2+4)??=0 in differential...
Prove that your conjecture will hold for any connected graph. If a graph is connected graph,...
What is the trace of a transformation matrix? How is this related to the character of...
solve the following systems x'=3x-y+2 , x(0)=1 y'=-4y , y(0) =2
solve x'=x y'=-4x+2y
use the laplace transform to solve the following equation y”-6y’+9y = (t^2)(e^(3t)) y(0)=2 y’(0)=17
In the following determine whether the systems described are groups. If they are not, point out...
(7) Prove the following statements. (c) If A is invertible and similar to B, then B...
The answer to each question on this page is true or false. Please circle T for...
Let A = (1 0 2 -1 2 4) and J = (1 0 0 0...
Create a formula using the PMT function to calculate the monthly loan payment using interest rate...
Given the third order homogeneous constant coefficient equation y′′′+4y′′+y′−26y=0 1) the auxiliary equation is ar3+br2+cr+d= ?...
Let p be be prime and p ≡ 1 (mod 4|a|). Prove that a is a...
Find the work done in moving a particle once around an ellipse C in the xyplane,...
Use the method of reduction of order to find the general solution of the following differential...
let g be a group. Call an isomorphism from G to itself a self similarity of...
Using a standard (balanced) die, the following sequence of numbers is rolled : 1, 3, 5,...
There is a 70cm x 70cm board. Let's shoot the board 50 times. By pigeonhole principle,...
Prove that if the complete graph Kn can be decomposed into 5-cycles (i.e., each edge of...
Prove that the diameter of a solid triangle in complex plane the length of it's longest...
Assume that 100 delegates must be apportioned to the following sets of states with the given...
Given that 2 is a primitive root modulo 19, find all the primitive roots modulo, 19....
Let f be a continuous function on the real line. Suppose f is uniformly continuous on...
Let G be a simple graph with n(G) > 2. Prove that G is 2-connected iff...
a) Let k>1 be the size of a minimum edge cut in G. Show that the...
(Euclidean and Non Euclidean geometry) Consider the following statements: Given a line l and a point...
Leila the trainer has two solo workout plans that she offers her clients: Plan A and...
prove uniqueness of the frechet derivative.
Consider the undamped spring equation y'' + cy = sin(2t). (a) For what value of c...
Suppose a body with mass 1kg is attached to a spring that is stretched 2m by...
A work center at the Mechanical Lyold Company has 4 machines and each machine is operated...
Prove that if uv is a bridge in a graph G, then there is a unique...
evaluate the following 3 numbers: 4 , 7, and 30 use different numeration system to get...
Solve the linear congruence x = 2 mod (7) x = 1 mod (3)
Determine whether or not the following sets are perfect and whether or not the following sets...
Let G(u, v)=(u2v, v2u). Use the Change of Variables Formula to compute the area of the...
Solve the recurrence relation using the substitution method: 1. T(n) = T(n/2) + 2n, T(1) =...
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