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Consider the following relation ∼ on the set of integers a ∼ b ⇐⇒ b 2...
(Modern Algebra) Show that every finite subgroup of the multiplicative group of a field is cyclical....
Compute the order of the permutation (1 6 3 9 4)(1 7 9)(2 8 7 4)....
Recall that a subset A (of N, Z, Q) is called downward closed when x ∈...
Let y ∼ MV N(µ, V ) be a n × 1 random vector and suppose...
1- An open box with a square base is to have a volume of 10 ft3....
The Martinezes are planning to refinance their home. The outstanding balance on their original loan is...
(1-x)y"-50y'+3y=cosx
Urn A has 1 red and 2 black balls. Urn B has 2 red and 1...
1. Let a,b,c,d be row vectors and form the matrix A whose rows are a,b,c,d. If...
An asset was purchased three years ago for $155,000. It falls into the five-year category for...
Calculate the volume, in milliliters, of 100 g of each of the following: a. Peanut oil...
Determine the equation of the plane that passes through the point (0,0,1) and that is perpendicular...
Two boys are trick-or-treating on Halloween, dressed as Challa and Dracula. Mrs. Owens has a bowl...
Ms. Brown is planning to give her class a multiple-choice exam with kn problems, each with...
Calculate the weight, in grams, of 100 mL each of the following: a. Acetone b. Liquid...
The temperature T of a flat sheet, at the point (?x, y) ?, is given by...
How do I prove "there are no integers k > 1 and n > 0 such...
a)Suppose U is a nonempty subset of the vector space V over field F. Prove that...
1. For n exists in R, we define the function f by f(x)=x^n, x exists in...
Give an example of three positive integers m, n, and r, and three integers a, b,...
USING ANY MATHEMATICAL WRITING SOFTWARE, WRITE A DERIVATION AND EXPLANATION OF THE QUADRATIC FORMULA. PLEASE ONLY...
If the probability of a certain event is 77/81 what are the odds against the event...
please do on matlab Create the 10×10 elementary matrix E that would switch the rows 3...
There are three types of jars containing coins. Jar type 1 has 1 dime, 2 pennies,...
Use Fermat's Little theorem to solve: 6^400 (mod 37)
Given the augmented matrix, Find a linear combination of a1, a2, and a3 to produce b....
Consider the conic section -5.x2 +6xy + 3y2 – 46 – 12y + 9 = 0....
Let {??}?∈? be an indexed collection of subsets of a set ?. Prove: a. ?\(⋃ ??)...
For each of the following relations, determine whether the relation is reflexive, irreflexive, symmetric, antisymmetric, and/or...
Prove that {n^3} does not converge to any number. please give me detailed proof, thanks
In each of the following, prove that the specified subset H is not a subgroup of...
In each of the following, prove that the specified subset H is a subgroup of the...
Solve the following problem. Be sure to make a diagram of the situation with all the...
4. Let A = [-5 -5] [5 -5] a. Find the eigenvalues and eigenvectors for A....
Logical Puzzle: As a reward for saving his daughter from pirates, the King has given you...
Solve the following ODE's/ IVP's y'=1/xsin(y)+2sin(2y) Hint: consider x=x(y) and dx/dy=1/(dx/dy)=1/y'
If p is an odd prime and if 1+ 1/2 +1/3 +...+1/p-1=a/b , where a,b are...
1) Find functions f and g and sets S and T such that f(f −1 (T))...
good evening if Ω is a sample space, τ is a σ-algebra over Ω and Ω’...
Consider the two vector valued functions x1(t) = (2e^t , 3) and x1(t) = (4, 6e^-t...
suppose a large tank has 300 gallon of brine solution. Brine sol. was being pumped into...
Problem 3 Recent studies have indicated that by 2030, more than a quarter of the Amazon...
A large tank initially contains 365,200kg of a petroleum product. Two pumps (A & B) feed...
A manufacturer had 25,362 units of item A and 16,341 units of item B in his...
An oil production project involving 10 oil wells has been approved. The estimated number of engineering...
A computer password can be 5 - 6 characters. The password must contain at least 1...
(-) Prove that 1·2 + 2·3 +···+ (n−1) n = (n−1)n(n+ 1) /3. (Discrete Math -...
(1 point) Given the following differential equation (x2+2y2)dxdy=1xy, (a) The coefficient functions are M(x,y)= and N(x,y)=...
(a) We select 11 positive integers that are less than 29 at random.Prove that there will...
Normal town high school pool records for the 100 yard freestyle was 46.7 in 1990 ....
Suppose v1, v2, . . . , vn is linearly independent in V and w ∈...
Prove the following statement: If x ∈ R, then x2 + 1 > x.
Use a slope field plotter to plot the slope field for the differential equation dy/dx=sqrt(x-y) and...
formulate the following as a mixed-integer program the set X\{x*} where X={x in Z^n. Ax<=b} and...
1. Let S = {a, b, c}. Find a set T such that S ∈ T...
Are the following functions linearly independent or dependent on the interval (-∞, ∞)? (a) cosh x,...
For the following function, determine the highest real root of f(x) = 2x3 – 11.7x2 +...
Is the function f(x,y)=x−yx+y continuous at the point (−1,−1)? If not, why is the function not...
How many incongruent solutions does x3 ≡ 1 have modulo 59? mod 61? x3 ≡ 8...
show that the set S = {-3, -6, -9,...} has no smallest element. (trying to use...
Consider a rectangular box with side lengths 1, 2 and 3. 1. We construct a (large)...
How many integers from 1 through 1,000 are multiples of 5 or multiples of 7? (b)...
A long circular pipe, radius 8 meters is laying on its side and is closed with...
(1 point) Solve the initial value problem 10(t+1)dydt−8y=16t, for t>−1 with y(0)=2. y=
If the growth rate of bacteria in a culture medium is directly proportional to the difference...
Consider the Markov chain with the state space {1,2,3} and transition matrix P= .2 .4 .4...
Solve by using power series: y' = x^5(y). Find the recurrence relation and compute the first...
(* Problem 3 *) (* Consider differential equations of the form a(x) + b(x)dy /dx=0 *)...
Consider a Markov chain with state space {1,2,3} and transition matrix. P= .4 .2 .4 .6...
Given a specific A⊆ R2, determine A0,α(A), Ad and A (bar over A)
find the volume of the solid by rotating the region bounded y=e^x x=1 y an x...
Find all the 3.rd roots too -2+2i. Write them on exponential form and draw them in...
A plane is capable of flying at a speed of 180 km/h in still air. The...
Find the gradient of the scalar function T (x, y, z) = (x + 3y)z2. find...
Let H = {(1), (1 2)} < G = S3. List the left cosets of H...
Provide an example of a partially ordered set that has a unique minimal element but no...
Define p to be the set of all pairs (l,m) in N×N such that l≤m. Which...
Set theory proof: Rearrange: (A U B) X (C U D) to equal (A X C)...
Let u=[6,2 ], v=[3,3 ], and b=[4,1 ]. Find (x⋅u+y⋅v-b)×2 u, where x,y are scalars.
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