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Advanced-Math Questions
Use the expansion of tan2A to show that the exact value of tan22.5° = √2 -...
show that f: R^2->R^2 be f(x,y)= (cosx + cosy, sinx + siny). show that f is...
Find the matrix of the reflection of R2 across the line y =x/3 followed by the...
A political party is planning a half hour television show. The show will have at least...
A sequence is defined by a1=2 and an=3an-1+1. Find the sum a1+a2+⋯+an
A political party is planning a half hour television show. The show will have at least...
solve the system X'={2 2, 3 1}X+{t 1}. (2 2 in column, 3 1 in column)
Solve (find the general solution) of the following non-homogeneous DE using the annihilator method. y′′ +...
solve the system X'= {2 2, 3 1}X + {t 1}
If you do not accurately solve the 0-1 integer linear programming problem what are the negative...
State the Axiom of Completeness.
Let X, Y ⊂ Z and x, y ∈ Z Let A = (X\{x}) ∪ {x}....
Suppose the set S is recursively defined as follows: Base step: (1, 1) ∈ S Recursive...
Benny the rat is brought before Tony soprano for punishment because he talked to the FBI....
We say two n × n matrices A and B are similar if there is an...
Solve the LP problem using graphical method. Determine the optimal values of the decision variables and...
1. Use a calulator to find a decimal approximation for each value. sec(-216 degrees 13')= (round...
An ideal die is thrown once. Determine the probabilities of the following events! A: "The cube...
At a sporting event, a doping test will be carried out. If an athlete doped, then...
In an urn are 13 balls, which are numbered from 1 to 13. It is randomly...
Use the Laplace Transform to solve the following initial value problem: 11. y′′ −y′ −6y={0 for0<t<2;...
The differential equation dydx=72/(y^1/4+64x^2y^1/4) has an implicit general solution of the form F(x,y)=K, where K is...
Solve the initial value problem 2(sin(t)dydt+cos(t)y)=cos(t)sin^3(t) for 0<t<π0<t<π and y(π/2)=13.y(π/2)=13. Put the problem in standard form....
The cubic polynomial P(x) = x3 + bx2 + cx + d (where b, c, d...
Solve the given DE by undetermined coefficients (superpostion approach) y''+2y'=4x+6-3e^-2x
Compute the matrix exponential eAt for the following system x' = Ax x'1 = 4x1 -...
Use the Laplace transform to solve the given initial-value problem. y'' + y = δ(t −...
Consider the following system of linear equations: 2x1−2x2+4x3 = −10 x1+x2−2x3 = 5 −2x1+x3 = −2...
Is there an online tool or a software that calculates the total number of possible combinations...
How many surjections are there from [7] to [4]? (for this question, give the answer as...
Kitchen Korner produces refrigerators, dishwashers, and stoves at three different factories. The table gives the number...
How could we measure how many pieces of candy each kid takes? Think it over and...
Verify that the given function is a solution and use Reduction of Order to find a...
Let N1 be a normal subgroup of group G1, and N2 be a normal subgroup of...
Professional Printers, Inc.make two models of commercial printers (FlowPrint and TypeIt). Manufacturing time requirements for each...
use the epsilon-delta definition to prove that limit (x,y) goes to (-1,-4) -3x+y=-1
Let N2K be the set of the first 2k natural numbers. Prove that if we choose...
Every function f: Z-> R is injective Answer: False. Why tho? Doesn't all the integer hit...
At the beginning of 2007, the population of a certain state was 55.4% rural and 44.6%...
Discrete Math Course. Prove with the element method or analytical method using identities from p.355. or...
In a study of the domestic market share of the three major automobile manufacturers A, B,...
If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the...
Two bikers meet at a park. Biker A needs to stop at the store that is...
Find the fundamental solution to the following differential equation. y''+y'-2y=0, t0=0
A survey found that women's heights are normally distributed with a mean 62.9 inch and standard...
Suppose f is continuous for x is greater than or equal to 0, f'(x) exists for...
Suppose you are building a hash table and want the probability of collision in your has...
This extreme value problem has a solution with both a maximum value and a minimum value....
the order of GL(n,Z3) under multiplication is 8*6=48 what's the order of GL(n,Z2019) under multiplication
the order of GL(n,Z3) under multiplication is 8*6=48 what's the order of GL(n,Z2019) under multiplication and...
Initially 100 milligrams of a radioactive substance was present. After 5 hours the mass had decreased...
Let A be an n×n nonsingular matrix. Denote by adj(A) the adjugate matrix of A. Prove:...
A 4000-square kilometer watershed receives 102 cm of precipitation annually. The average flow of the river...
how many strings of 7 lower case letters from the wnglish alphabet contain the letter a?...
Find all the values to (1 + i)^ 1/3
Find the LaPlace Transform, L(f(t)), for the given f(t). 1.) f(t) = (3-e2t)2 2.) f(t) =...
Find the Laurent expansion of f(z) = 1 z(z2 + 1) about z0 = 0, that...
First, create 3 equations of the form ax+by+cz=d , where a, b, c, and d are...
Integrate following, using the partial Fraction and may be MATLAB ∫(8x^7+47x^6+98x^5+108x^4+ 106x^3+100x^2+104x+104)/((x-1)(x+2)^3 (x^2+2x+2)^2 ) dx WITH...
What is strategy of Trigonometric Substitution? Why Tri. Identities are so important for simplifying the integrand...
1. Let ? and ?′ be two different linear codes. It is possible for ? and...
[ 1 3 9 -7 0 1 4 -3 2 1 -2 1] find basis for...
Give the particular solution to the equation y′′+8y′−6y=(−3x^2+4x−2)e^7x, obtained from applying the method of undetermined coefficients.
****Please show me 2 cases for the proof, one is using n=1, another one is n=2,...
The T-shirt department buyer determined that the department’s initial markup should be 51.5%. The buyer also...
Rooks can move any number of squares horizontally or vertically on a chess board. The n...
1. Suppose P and Q are the statements: P: Jack passed math. Q: Jill passed math.(25...
Julio and Angela want to split a bag of candy, and decide to use the divider-chooser...
A 4-foot spring measures 8 feet long after a mass weighing 8 pounds is attached to...
Suppose φ : G → G′ is an isomorphism. (a) Prove that φ(Z(G)) = Z(G′). (b)...
Find the general solution of the second-order nonhomogeneous equation: ty″ − y′ = (t^2) + t
Let R be any rotation and F be any reflection in the dihedral group Dn where...
Identify the type of ODE below (ex. Separable, Linear, Exact, etc...) and then solve the initial...
Exercise 2.5.1: Proofs by cases. Prove each statement. Give some explanation of your answer (b) If...
Exercise 3.5.6: Roster notation for sets defined using set builder notation and the Cartesian product. Express...
Come up with a rule for when 5 is a quadratic residue mod p using quadratic...
XYZ is now evaluating the purchase of a new machine for $210,000 installed with no NWC...
1) Graduation is 3 years away and you want to have $650 available for a trip....
Two charges are located in the x�y plane. If q1 = -2.30 nC and is located...
Translate this argument into symbolic form. Then determine if argument is valid or invalid with a...
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