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Advanced-Math Questions
If a,b are elements of R(set of real numbers) and a<b, show that [a,b] is equivalent...
The table below shows the number of people that enrolled in Veterans Health Administration (in millions)...
(2) If K is a subset of (X,d), show that K is compact if and only...
Let f(x)= a -bx^c + dx^e where a, b,c,d,e >0 and c<e. Suppose that f(x0)= 0...
using theorem "the sequential characterization of limit" show lim(c/x^2) =0 as x goes to infinity for...
Suppose f is entire, with real and imaginary parts u and v satisfying u(x, y) v(x,...
Make sure it is in a sentence format. Write a structured and mathematically precise 4-6 sentence...
Use the Laplace transform to solve the following IVP y′′ +2y′ +2y=δ(t−5) ,y(0)=1,y′(0)=2, where δ(t) is...
A farmer plans to plant two crops, A and B. The cost of cultivating Crop A...
Use Lagrange Multipliers to find both the maximum and minimum values of f(x, y) = 4xy...
Lance Whittingham IV specializes in buying deep discount bonds. These represent bonds that are trading at...
Use mathematical induction to prove that 12+22+32+42+52+...+(n-1)2+n2= n(n+1)(2n+1)/6. (First state which of the 3 versions of...
Determine if each of the following series converges or diverges showing all the work including all...
A model for a ball thrown into the air with air resistance proportional to the velocity...
Find all the solutions of 3x2 + 2x – 2 = 1 (mod 29).
To chart the movement of a polar bear, scientists attached a radio transmitter to its neck....
If X, Y are topological spaces and f : X → Y we call the graph...
4. Find a general solution of y" + 9y = 18e^(−t) cos(3t).
4) Let F be a finite field. Prove that there exists an integer n ≥ 1,...
Find a function g defined on [0,1] that satisfies none of the conditions of the existence...
13. Let R be a relation on Z × Z be defined as (a, b) R...
Let a ∈ R. Show that {e^ax, xe^ax} is a linearly independent subset of the vector...
Use Laplace to solve y" + 2y' + 2y = e-t, y(0) = 0, y'(0) =...
Determine if pure resonance occur in the following undamped mass-spring system my''+ ky = f(t) where...
Give the first four nonzero terms in the Maclaurin series representation for y=e^x/sinx
What are the eigenvalues and eigenvectors of the 3x3 matrix [1 1 1], [1 1 1],...
5. Solve the initial value problem x" + 4x' = −64e^(4t) , x(0) = 2, x'(0)...
Singleton is a booming city with lots of single people. It has a population of 3...
Complex Analysis 2. Find the linear transformation which carries the circle |z| = 2 into |z...
Prove that f(x) = (10x3 + 25x + 63) / (4x – 3) is O(x2) directly...
Use a Taylor series to get the derivative of f(x)=sin(x^2) and check for the interval of...
1) Let S={v_1, ..., v_p} be a linearly dependent set of vectors in R^n. Explain why...
6. a. Use an x− interval of 0.0001 to determine the instantaneous range of change of...
Q7) Factorise the polynomial f(x) = x3 − 2x2 + 2x − 1 into irreducible polynomials...
Let M/F and K/F be Galois extensions with Galois groups G = Gal(M/F) and H =...
using laplace transform, solve: y''+4y=8cos2t; y(0)=0, y'(0)=4
How can the following set of equations be solved using matrices? A+ B + F =...
Early Monday morning, the temperature in the lecture hall has fallen to 41°F,the same as the...
Suppose that G is a finite Abelian group that has exactly one subroup for each divisor...
Suppose that G is abelian group of order 16, and in computing the orders of its...
For any integer n>1, prove that Zn[x]/<x> is isomorphic to Zn. Please explain best way possible...
Show that point A,b,c don't lie on the same line let A(3,2,-3) b(3,1,0) c(2,1,-1)
use laplace transforns to find ivp x''' + x' = e^t, x(0) = x'(0) = 0,...
A mother is buying two types of chocolate truffles for her children. The oldest child likes...
Show that |Aij | ≤ 1 for every entry Aij of a unitary matrix A
A car was purchased for $3650 down and payments of $338 at the end of each...
Find all solutions to the polynomial congruence x^3 + x ≡ 50 (100).
prove that 1/x is a continuous function
#1. Use propositional logic to prove the following argument is valid. If Alice gets the office...
A movie called The Great π e Debate. The premise is the question, which of these...
let A be a subset of Rn and let x be a point in Rn. Show...
find the general solution of the given differential equation 1. y''−2y'+2y=0 2. y''+6y'+13y=0 find the solution...
w ′′ − y + 2z = 3e-x −2w ′ + 2y ′ + z =...
For this discussion forum, please choose any country in the world (other than the USA) and...
A time (and space) traveler has landed on the planet Raxacoricofallapatorius in the distant future. She...
You have invested money in a savings account that pays a fixed monthly interest on the...
let set A = {1,2,3,T,U,B,E}. Find A*A
How many bit strings with length 8 does not contain two consecutives 1’s, i.e., does not...
Fourier Series Expand each function into its cosine series and sine series for the given period...
Evaluate how organizations can use one-sample hypothesis testing to determine if there are performance issues in...
Estimates of the number of cells in the human body vary over an order of magnitude....
How to proof that the Fourier series of a function exist? vice versa, if the Fourier...
10.3) Sketch the particle motion of a propagating internal wave in relation to its direction of...
Supposed G is a graph, possibly not connected and u is a vertex of odd degree....
Show that if n people go to a party and some shake hands with others but...
Math210: 1.) Suppose that on January 1 you have a balance of$5200 on a credit card...
Write the polar equation of a limaçon with inner loop of length 5 units. Explain why...
Prove f(x)=e^x is one to one and onto. Be clearly, please.
a murder was commited, and the victim's body was discoverd at 3:45 pm in a house...
count the induced subgraphs of the cycle graph with 2n vertices that have n vertices and...
Using Taylor series expansion method; find a series solution of the initial value problem (x2+1)d2y/dx2+xdy/dx+2xy=0 y(0)=2...
Determine which of the following spaces are connected. (a). X= {1,2,3,4} and T = {X, ∅,...
Give an example of (a) a function f : Z → N that is both one-to-one...
Find the particular integral of the following differential equations.(Explain each step clearly) (a) d2y/dx2 + y...
Prove that every graph has two vertices with the same degree. (hint: what are the possible...
Consider the following second-order differential equation: ?"(?)−?′(?)−6?(?)=?(?) (1) Let ?(?)=−12e^t. Find the general solution to the...
what is the effect of dividing or multiplying powers of 10 on the decimal?
1- A multiple choice test has 10 questions with 4 possible answers, one of which is...
dy/dx = 2 sqrt(y/x) + y/x (x<0) Find general solution of the given ODE
Let A be an invertible matrix. Show that A∗ is invertible, and that (A∗ ) −1...
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