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Advanced-Math Questions
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...
Are the following polynomials irreducible over Q? Prove why or why not. (a) 2x^13−25x^3+ 10x−30 (b)...
a license plate uses 2 digits followed by 3 letters, if the numbers 1 and 0...
8.(12pts)The (absolute) time rate of change of a certain rabbit population P is proportional to the...
Show directly that a compact metric space is totally bounded
A census taker stops at a house, notes down the number on the door, and knocks....
How would you use a stock solution of 1 X 10-3 M 2-naphthol (in 95% ethanol)...
Read this case scenario and then answer the questions below. You must show the work on...
Thor is developing three new fitness supplements -- A, B, and C. Each pound of each...
Consider 3x3 matrix A with eigenvalues -1, 2, 3. Find the trace and determinant of A....
– Discrete Structures question a = 61 and b = 26 Find all pairs of Bezout...
A basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team...
A debt of $4197.84 is repaid by payments of $1269.51 in 3 months, $1092.07 in 15...
fifty-one numbers are chosen from 1-100 prove that at least 2 of them are consecutive
You and some friends are trapped inside a rectangular room that is leaking water from the...
1) How many 9 digits can be formed from the integers 5 5 6 6 6...
Context A high school student named David Merrell did an experiment to examine if music affects...
1. Find the distance between the line y=-2x+1 and the point (1, 4). Sketch the line,...
Cathy wants to have $23,000 in cash 4 years from now in order to pay for...
Find root of the equation cos (x) = xex using Bisection method. Make calculation for 4...
If p is a rational number and q is an irrrational number Is the number p/4...
If p is a rational # and q is an irrrational # Is the number p/q...
Let WW be a subset of a vector space VV. By justifying your answer, determine whether...
Prove that for all real numbers x, if x 2 is irrational, then x is irrational.
A population is growing logistically and it’s graph has in inflection point when the time is...
1(a) Suppose G is a group with p + 1 elements of order p , where...
Prove i.) The line graph of Pn is Pn-1 ii.) The line graph of Cn is...
nd a power series solution ? = ∑∞ ?=0 ?k?k for the particular solution ??(?) defined...
A company operates an assembly line. The company believes that there is a 3% probability that...
Find the center of S3 and the centralizer of each element of S3.
A mass weighing 8 pounds stretches a spring 2 feet. At t=0 the mass is released...
Find the laplace transform of laplace f(t) = 0 if 0<=t<2, f(t)=4 if t>=2
Prove that the sum of 2 consecutive integers is positive
Assume that X is a hyper-geometric random variable with N = 17, S = 6, and...
True or False? No reasons needed. (e) Suppose β and γ are bases of F n...
A coin is flipped 15 times. find the probability of the following: p( exactly 4 Heads)....
Toward the middle of the harvesting season, peaches for canning come in three types, early,late, and...
Find the general solution to y'' + 2y' +y = e-t log(t)
(Differential Topology) Show that the projection map from a tangent space T_a_A to its manifold A...
For the following generating function, provide a closed formula for the sequence it determines: x2/(1-x)3
Let H be the hemisphere x2 + y2 + z2 = 54, z ≥ 0, and...
Use the definition of a Cauchy sequence to prove that the sequence defined by xn =...
Let f : [a,b] → [a,b] be continuous. Define a sequence recursively by z1 = x1,...
Prove the following two statements. a. |b| < a if and only if -a < b...
Find the Laplace transform of the function f(t)=a+bt+ct2using the definition
Explain the procedure to find the formula that is used in the order reduction method.
determine whether polynomials X^2 + 1, X^2 -1 and X^2 + X + 1 span p(2)
Find at least the first six non-zero terms of the general power series solution, centered at...
Problem 14.65. You want to get from point A to point B and then back to...
Apply Euler's method twice to approximate the solution of the equation y'=y-x-1, y(0)=1 at x=0.5. Use...
Among first-year students enrolled in a two-year program at a trade school, the following was determined...
Consider the fully connected graph K2020.. What is the maximum number of edges which may be...
discuss the analyticity of the function using the Cauchy-Riemann equations w = log(z)
q1, Let A, B be sets such that A ∩ B = B. Show that B...
Compute the order of each element in the Quaternions, Q8. Show all work
If a series is convergent , what must be true of the individual terms of the...
Write a MATLAB function function [ AvgPos, AvgNeg ] = PosNegAverage ( X ) that calculates...
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