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Advanced-Math Questions
Laplace Transform: If F(s) = (2s-5)/s3/2, find f(2)
Let f ∈ Z[x] be a nonconstant polynomial with the property that all the roots (in...
a.) is there tree with vertices 8 , radius 4,diamter 5? please draw b.) draw all...
if {Xn} and {Yn} are cauchy, show that {Xn +Yn} is cauchy. b.) Also show that...
The Volume of a Sphere. Calculate the volume of the sphere of radius 1, using spherical...
compute f'(x) of f(x) = |x|^3. compute f''(x). if there exists values that dont exist for...
One former Stat 216 student project investigated how well MSU students perceive their own attractiveness. Twenty...
Find the solution of the following congruence: 13x is congruent to 20(mod 33)
Suppose A is a 2x2 matrix whose eigenvalues all have negative real parts. For the system...
3.) Find the linear transformation T : R2 to R2 described geometrically by "first rotate counter-clockwise...
1. I have a pile of n identical ping-pong balls and two boxes, labelled Box 1...
Show that the series sum(an) from n=1 to infinity where each an >= 0 converges if...
Write a function that takes two integer inputs and returns the sum of all even numbers...
Give a non-algebraic proof that C(n,k) = C(n – 1, k ) + C(n – 1,k...
In a 36 lap race, each car must make a pitstop which takes 27s and must...
1.) either solve the given system of equations, or else show that there is no solution....
Complete the following table. If a property does not hold give an example to show why...
True or False: An n X n matrix A has n linearly independent eigenvectors. Justify your...
Combinatorics Math: Let d(n,k) be the number of derangements of length n that consist of k...
Give a geometric representation of complex numbers. Use it to explain how to obtain the complex...
Sienna is training for a charity cycle ride. When she averages 24 km/hr she takes 2...
A company manufactures x units of Product A and y units of Product B, on two...
Let G be a group and let X = G. Define an action of G on...
Recall that ν(n) is the divisor function: it gives the number of positive divisors of n....
Use Inclusion-Exclusion principle to find the number of natural numbers less than 900 are relatively prime...
Suppose that a connected planar graph has eight vertices each of degree 3 then how many...
2. The eigenvalues of M=[[392,−144],[−144,308],] are 200 and 500. Find all unit column vectors C with...
1. Let M=[[58,−8],[364,−50],]M=[[58,−8],[364,−50],]. Find all numbers λλ so that there is a solution of dX/dt=M⋅XdX/dt=M⋅X in...
The following information is known about a project: a. Draw a network diagram b. Calculate the...
In a special lunar calendar, every month has exactly 30 days, and every week has 7...
What is the Taylor series expansion of: a. Cos x, x0 = 0 b. 1/1-x ,...
Let R = R[x], f ∈ R \ {0}, and I = (f). Show that R/I...
Write out the first four terms of y1 and y2: a. (2+x^2)y" - xy' + 4y...
Let R = R[x], f ∈ R \ {0}, and I = (f). Show that R/I...
Each day, Antonio eats a big breakfast with probability 0.4, a small breakfast with probability 0.2,...
In your own words, explain the difference between REF and RREF. What are the advantages/disadvantages of...
let A = { a, b, c, d , e, f, g} B = { d,...
A deck of playing cards has 52 = 4 × 13 cards: there are 4 suits...
Linear Algebra complete by justifying the missing elements Suppose that column 4 of a 3x 5...
1) You have decided that you want to buy a home in 6 years. You believe...
please solve it step by step. thanks Prove that every connected graph with n vertices has...
Problem 3. Prove by induction that 1/ (1 · 3 )+ 1 /(3 · 5 )...
For each of the following statements decide whether they are True or False and give a...
True False questions. Make sure you EXPLAIN EACH ANSWER. 2.19) Suppose that W is a four-dimensional...
The radius of a circular cylinder is increasing at rate of 3 cm/s while the height...
$600 is deposited at the beginning of each month in an account that earns 4.8% interest,...
Prove or give a counter example: If f is continuous on R and differentiable on R...
How much is needed in an account that will pay out $2000 at the end of...
x^3y’’’+3x^2y”+2xy’=0
Show all the steps... Prove by induction that 3n < 2n for all n ≥ ______. (You...
Find the largest number that leaves the same remainder when it is divided into 887, 959,...
Suppose you have a spinner comprised of six equal spaces: a orange 1, a yellow 2,...
1 point) If the series y(x)=∑n=0∞cnxny(x)=∑n=0∞cnxn is a solution of the differential equation 1y″−6x2y′+2y=01y″−6x2y′+2y=0, then cn+2=cn+2= cn−1+cn−1+ cn,n=1,2,…cn,n=1,2,…...
Given a set of n distinct bolts and n corresponding nuts, (a one-to-one correspondence exists between...
Please show all steps, thank you! a) Verify that the functions below solve the system: x(t)...
Solve by using a matrix exponential x' = x - 2y + 2e-t y' = 2x-3y
Events A1, A2, and A3 form a partiton of sample space S with Pr(A1)=27, Pr(A2)=47, and...
Prove the division algorithm for R[x]. Where R[x] is the set of real polynomials.
1-Assume that f is a homomorphism from (G, ∗) to (H, ⊗). a) If a∈G, why...
What is the relationship between the vector fields given as x ̇ = Ax y x...
A lathe to make a single pass on a 2.000 in. diameter (diameter before the cut),...
True or False 1. A subset H of Rn must be a sub space of Rn...
so we have a matrix: assume [[row]. [row]], dx/dt = [[6, -2], [20, -6]]x. which is...
Consider the differential equation: y'' = y' + y a) derive the characteristic polynomial for the...
A partially solved PERT problem is detailed in the table below. Times are given in weeks....
Solve the following initial value problem. y'''-4y''+5y'=100e^5x;y''(0)=-34,y'(0)=-6,y(0)=7
How to find laplace of .... L [t3 sint] ? usually I don't know how to...
Let the edges of K7 be colored with the colors red and blue. Show that there...
Assume that all the eigenvalues of A have a negative real part. Show that the linear...
Show that the n-cube Qn has 2 to the power n vertices and n2 to the...
7. (Problem 3 on page 341 from Rosen) Let P(n) be the statement that a postage...
Let A, B be n × n matrices. The following are two incorrect proofs that ABhas...
Use the Mean Value Theorem and the fact that for f(x) = cos(x), f′(x) = −sin(x),...
Let X be the vector space of all ordered pairs of complex numbers. Can we obtain...
Show that if a and d are positive integers, then (-a) div d= -a div d...
Find the exact length of the curve. x = 8 + 9t2, y = 3 +...
Randomized Leader Election A group of n people sit together and each one chooses a uniformly...
Random pigeonholing 100 pigeons p1,…,p100 fly into 500 labelled holes h1,…,h500. Each pigeon picks a hole...
True or False: An infinite group must have an element of infinite order. I know that...
Prove that if E is a finite field with characteristic p, then the number of elements...
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