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(discrete math) proof by contradiction "if a^2 is even then a is even"
(1) Show that -infinity to infinity ∫ xdx is divergent. (2) Show that lim t→∞ definite...
Evaluate the following contour integrals along the indicated contours wishing the Fundamental Theorem whenever possible. Include...
Which one of the following statements can be the formula P in the inconsistent set of...
I am trying to reduce the number of terms, but I am confused on how to...
q.1.(a) The following system of linear equations has an infinite number of solutions x+y−25 z=3 x−5 ...
Solve the following system (d/dt)X=(3x3 matrix) (-1 -1 0; 1 -1 1; 0 1 1)X+(column matrix)...
A multi plant monopoly operates two plants whose total cost schedules are ??1 = 8.5 +...
Given r(t) = (et cos(t) )i + (et sin(t) )j + 2k. Find (i) unit tangent...
Least Squares with polynomial functions Generate some data for x in the range of 0 to...
Let a, b, c, m be integers with m > 0. Prove the following: (a) ”a...
f and g denote two motions. Is it true that f ◦ g is a translation...
28.8 Let f(x)=x^2 for x rational and f(x) = 0 for x irrational. (a) Prove f...
Given 2y' +1.7y = 5x, y(0)= 2.1, What is the value of y(3) using Euler's method...
Given 2y′+1.7y=5x, y(0)= 3, What is the value of y″(3) using Euler's method and a step...
2z=(ax+y)²+b form the partial differential equation? where a & b are arbitrary constants. need solution step...
Solve the following system of equations using Matrix Algebra with Excel 7X + 4Y - 8Z...
Given 2y' + 2y = 5x, y(0) = 3.5, what is the value of y(3) using...
Let x be fixed. Use the method of undetermined coefficients to find a higher order differentiation...
Let G be a group. Prove that the relation a~b if b=gag^-1 for some g in...
Solve the initial value problem: y' +3y = 10sint when y(0) = 0
Find the locations of the poles for f(z) = 1/(z3 + 1) and the residues associated...
Let matrices A,B∈Mn×n(R). Show that if A and B are each similar to some diagonal matrix,...
A Markov chain model for a copy machine has three states: working, broken and fixable, broken...
Please show all steps and work no how you got answer thank you! Please no script!...
Show that the function f (x) = x^3 - 3 x^2 + 17 is not 1...
A study obtained the following results from about 1,000 families: Average height of husband = 68...
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,…...
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