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please solve step by step. thank you A bipartite graph is a graph whose vertices can...
Let U and V be subspaces of the vector space W . Recall that U ∩...
Show that if F is a field, then F[x] is a principal ideal ring
solve the given differential equation by variation of parameters. y”+y=1/cos(x)
let T: V ->W be a linear transformation. Show that if T is an isophormism and...
Buckeye Industries has a bond issue with a face value of $1,000 that is coming due...
-12.67x-9.67y-8.67z=0......(1) -11.67x-21.67y-5.67z=0.....(2) -19.67x-18.67-13.87z=0.....(3) By using this equations, apply on this equation “x^2+y^2+z^2=1” Solve for x,y, z....
Find at least four non-zero terms in a power series expansion of the solution to the...
Consider the numbers 130 and 57. (1) Use Euclid’s algorithm to find the gcd(57, 130). (2)...
Prove: If n≡3 (mod 8) and n=a^2+b^2+c^2+d^2, then exactly one of a, b, c, d is...
Find a power series solution for the differential equation, centered at the given ordinary point: (a)...
A handclap on stage in an amphitheater sends out sound waves that scatter from terraces of...
A man earned wages of $45,400, received $2000 in interest from a savings account, and contributed...
Answer the following brief question: (1) Given a set X the power set P(X) is ......
find the basis and dimension for the span of each of the following sets of vectors....
let v1=[1,0,10], v2=[0,1,0,1] and let W be the subspace of R^4 spanned by v1 and v2....
Use the Laplace transform to solve the following initial value problem y”+4y=cos(8t) y(0)=0, y’(0)=0 First, use...
Consider the ordered bases B={[8,9]} and C={[-2,0],[-3,3]} for the vector space R^2. A. find the matrix...
Solve the IVP dx/dt=[8 0, 16 0]x x(0)=[-5 6] x(t)=[ ? , ?]
Suppose y^2 = x^3+ax+b with a, b ∈ Q defines an elliptic curve. Show that there...
Suppose that gcd ( a , 53 ) = 1 , a 4 ≢ 1 (...
Use the compound interest formula for compounding more than once a year to determine the accumulated...
Solve the Initial value porblem dx/dt=[-4 -4, 4 -4]x x(0)=[9 6] give your solution in real...
Let A =[6,8;-4,-6] A. Find the characteristic polynomial of A p(x)= B. Find the eigenvalue of...
Explain what it means by the algebraic multiplicity and the geometric multiplicity of an eigenvalue. What...
Find the solution of the recurrence relation an = 3an-1 + 5 · 3n
first use Gram-Schmidt on x1, x2 to create orthogonal vectors v1 and v2 with the same...
Solve (∂^2u/ ∂x^2) + (∂^2u /∂y^2) = 0 for 0 < y < H, −∞ <...
first use Gram-Schmidt on x1, x2 to create orthogonal vectors v1 and v2 with the same...
Find a particular solution to y''+25y=−50sec(5t).
Compute the coefficients in a multi-step method of the form xn+1 = xn + h[Afn +...
Find y as a function of x if x^2y''−17xy'+81y=x^7, y(1)=−3, y'(1)=4, given that y1=x^9, y2=x^9ln(x) are...
Solve the initial value problem. x'=x+2y y'=7x+y with inition contitions x(0)=2 and y(0)=4.
Please solve the following: ut=kuxx+sin3πx, 0<x<1, t>0 u(0,t)=u(1,t)=0, t>0 u(x,0)=sinπx, 0<x<1
y''+.029273y'= -.322 solve this using systems of equations
Suppose I open my bakery in a town of 25,000 households. Each household buys 2 loaves...
Letφ:G→G′is a group homomorphism. Prove that φ is one-to-one if and only if Ker(φ) ={e}.
A bank in Calgary issued bonds for $450,000 that were redeemable in 9 years. It established...
Let G = {x in R | x > 0 and x notequalto 1}. Define *...
Another way to show that in a free group, any non identity element is of infinite...
Suppose the owl's primary food source is a single prey: mice. An ecologist wishes to predict...
Suppose T : V → W is a homomorphism. Prove: (i) If dim(V ) < dim(W)...
If two parents start a college fund when their child is born and they decide to...
The total cost of producing 1 unit of a product is given by C(x, y) =...
a. A graph is called k-regular if every vertex has degree k. Explain why any k-regular...
Find the eccentricity of r = 4 / (1 + 1/2 sin θ) Select one: a....
Use undetermined coefficients to solve the differential equation y'' + y = x sin 2x
Consider the ring R = Z∞ = {(a1,a2,a3,···) : ai ∈ Z for all i}. It...
Is the ring Z Noetherian? Prove your answer. Is the ring Z Artinian? Prove your answer.
Prove/disprove the following claim: If R1 and R2 are integral domains, then R1 ⊕ R2 must...
Prove that as rings, Z[x]/〈2, x〉 ∼= Z/2. Explain why this proves that 〈2, x〉 is...
Prove that R[x]/〈x2 + 1〉 ∼= C as rings.
Let f : Z → Z be a ring isomorphism. Prove that f must be the...
Suppose a lady bug is flying about 3-space and now is at the point (0,2,3). Say...
Write a Paragraph How does different Sorting Algorithm used in Discrete Mathematics?
Evaluate each integral in and explain why you used the method you did. ∫ ???(? +...
Let G be a connected simple graph with n vertices and m edges. Prove that G...
solve using method of undetermined coefficients. y''-5y'-4y=cos2x
A family rented an apartment in September 2014 for $1415 per month. Since then there were...
Chapter 18, Problem 041 (a) Two 58 g ice cubes are dropped into 410 g of...
Let F(x,y,z) = ztan-1(y^2) i + (z^3)ln(x^2 + 8) j + z k. Find the flux...
Find the number of ways to distribute 11 non-identical items into 3 non-empty groups. (No ordering...
Find the number of (A, B, C) triples | H | = n, A ⊊ B...
Explain (in detail) the steps when it comes to the order of operations. Give an example...
let f(0)=1, f'(0)=-1, F(s) = L{f(t)}(s), F''(s) = -9s/(s^2+9). find f(t)
(a) Let f(z) = z^2. R is bounded by y = x, y= -x and x...
List the elements of U(9), and prove that U(9) is a group.
Exercise 1. Prove that floor[n/2]ceiling[n/2] = floor[n2/4], for all integers n.
Compute the number of proper vertex coloring for the graphs below so that the number of...
prove: H contains of positive integer H=tz for t=least positive integer in H.
Determine the function f(t) if it is known that its Laplace transform is: F(s) = s/...
Suppose a recent college graduate's first job allows her to deposit $200 at the end of...
Use the laplace transform to solve for the initial value problem: y''+6y'+25y=delta(t-7) y(0)=0 y'(0)=0
Find Taylor series expansion for 1/(2z+1) at z = 0
Use either the method of undetermined coefficients or method of variation of parameters to find the...
Matrix A is given as A = 0 2 −1 −1 3 −1 −2 4 −1...
Prove there are exactly two groups of order 285 up to isomorphism. Determine their structure in...
Let lambda be an eigenvalue of A in X'=AX of multiplicity n. Find the general solution...
Consider a system with one component that is subject to failure, and suppose that we have...
A researcher estimates that the probabilities of share C and D increasing are 61% and 75%...
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