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Advanced-Math Questions
A hot fluid of specific heat 4100 J/kg K flows through a parallel flow heat exchanger...
Eight balls, each marked with different whole number from 2 to 9, are placed in a...
Prove by induction that 5^n + 12n – 1 is divisible by 16 for all positive...
Consider the polynomial P(x)=−4x5+5x4−4x+5P(x)=−4x5+5x4−4x+5. (a) Verify that 12√(1+i)12(1+i) is a root of P(x)?(?). b) Given that...
Show that sequence {sn} converges if it is monotone and has a convergent subsequence.
1. An object moves with velocity vector [11,8] measured in m/s. a) What is the object's...
Prove that if n ≥ 2, then n! < S(2n, n) < (2n)! S(2n,n) is referencing...
Use the Rational Root Theorem to find all possible rational roots then use Newton’s Method to...
The cases for the following equation are the states of the United States. Quality of Life...
Find a general solution: (dy/dx) = (x+xy^2)/2y
If the elasticity doesn’t change between two variables, what should you do to measure this association?
Let G be a cyclic group, and let x1, x2 be two elements that generate G...
PROBABILITIES IN REAL WORLD Look online and find an article published within the past 4 weeks...
1. Prove that 21 divides 3n7 + 7n3 + 11n for all integers n. 2. Prove...
Each of two players must choose a number between 1 and 5. If a player’s choice...
What you must do when you have a limit of a function that is in the...
1) A rectangular storage container with an open top is to have a volume of 24...
A regional planner employed by a public university is studying the demographics of nine counties in...
True or False? (Make sure to justify your answer.) For this question let ?A be a...
1. Let θ < 0 be an angle in standard position. (a) Choose a value for...
Answering this questions correctly is not necessarily important- More interested in seeing how well you explain...
Given f(x,y) = 2y/sqrt(x) , find a unit vector u = (u1,u2) such that Duf(1,3) =...
find the payment that should be used for the annuity due whose future valueis given ....
How many trees T are there on the set of vertices {1, 2, 3, 4, 5,...
Solve a Differential Equation by the Method of Undetermined Coefficients. y'' - 4y= 2-8x-cos(2x)
Solve each item supporting your answer with a clear explanation. 1. Consider the dynamical system x1(t...
Having some trouble finding c1 and c2, Solve the IVP y'' - 4y' + 13y =...
Your company manufactures two models of speakers, the Ultra Mini and the Big Stack. Demand for...
Use logarithms to solve the following problems 1. How long will it take $12,000 to grow...
Draw an example of a connected bipartite simple graph with 9 vertices and 10 edges that...
6/ a] Come up with a simple test (using the derivative) to determine if an equilibrium...
The score on the chapter 8 test is compared with a student’s chapter 2 test. If...
For which primes p is 15 a square modulo p?
Use the Laplace transform to solve the given initial value problem. y′′−2y′−143y=0; y(0)=8, y′(0)= 32 Enclose...
Find the group homomorphism from Z_14 to A_4, where A4 is the alternating subgroup of S4....
Prove that lim x^2 = c^2 as x approaches c by appealing directly to the definition...
Find the Fourier sine expansion of f(x) = x for 0 < x < 1 2-...
is it true that, if A^2 is an orthogonal matrix , then A is an orthogonal...
Find the G.S. of the Riccati DE: ?^2 ?′ + (??)^2 − 2 = 0
The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern History—and the chairperson is...
y''+y=4x+10sinx find yp show trial form for yp
y'''+3y''+3y'-7y=0, find gen soln.
The population of bacteria in a culture grows at a rate proportional to the number of...
9. Determine the solution to the initial value problem using the Laplace transform and the convolution integral....
A wedding organizer needs to sit 4 couples and 4 single persons around a round table....
6. Consider the initial value problem &
Prove every integer n ≥ 2 has a prime factor. (You cannot just cite the Funda-...
Prove that 127 is prime. If you tried to prove 1,000,003 was prime the same way,about...
Euclidean algorithm: Find integers a and b such that 70a+182b=28. Are the integers c and d...
Analyzing Advertising Expenditure As a data scientist of a company, you want to analyze the following...
Question 1: The park had initially planned to charge $8 for admission and expected to have...
The number N(t) of supermarkets throughout the country that are using a computerized checkout system is...
Indicate whether each statement is True or False. Briefly justify your answers. Please answer all of...
Let V be Rn with a basis B={b1,...,bn}; let W be Rn with the standard basis,...
Conjecture a formula for the sum 1/1*3 + 1/3*5 + ... + 1/(2n-1)(2n+1), and prove your...
Let X be a subset of the integers from 1 to 1997 such that |X|≥34. Show...
Silva is contemplating to buy a 20 year annuity paying $2500 at the end of each...
G is a group. Consider the mapping Tg : G --> G defined by Tg(x) =...
the exponential function that can be described as e^x = (1 + x/n)^n in the limit...
proof unknown "a" is congruent to 2 or negative 1 modulo 4, it mean "a" is...
Twins graduate from college together and start their careers. Twin 1 invests $2500 at the end...
The speeds of vehicles on a highway with speed limit 90 km/h are normally distributed with...
Use the Laplace transform to solve the IVP: y′(t) +y(t) = cos(t), y(0) = 0.
Prove that if a topological space X has the fixed point property, then X is connected
Solve the initial value problem below. x2y''−xy'+y=0, y(1)=1, y'(1)=3 y=
Drew wants to get back to his campsite on the beach as fast as possible. He...
Suppose the power series for a function f(x) has the interval of convergence I=(a,b]. Which of...
give the equation of this parametric curve in Cartesian form. x= t^2 -t , y =...
Suppose A ≠ ∅ and A⊆ℝ. Let A = [0,2). Formally prove that sup(A) = 2...
The temperature at the point (x, y, z) in a substance with conductivity K = 7.5...
Use undetermined coefficients to find the particular solution to y′′+5y′+6y=e^(5x)(-42+374x+280x^2) y_p(x)=
Is the following argument valid? (Carefully express it in propositional logic, and use the proper rules...
QUESTION 1 Fourier Series are also the starting point for some interesting mathematical formulas. Write a...
You need to purchase a dozen boxes of Lidocaine for the office. There are three vendors...
Proof the following theorem using mathematical induction: 2n ≥ 3n, for n ≥ 4
The practice has made $73,426 to date. A total of $18,356.50 of this amount has not...
Let a,b ∈ Z. Prove that a−b is even if and only if x and y...
Formulate a system of equations for the situation below and solve. Cantwell Associates, a real estate...
A personal computer manufacturer buys 39% of its chips from Japan and the rest from the...
Let x, y ∈Z. Prove that (x+1)y^2 is even if and only if x is odd...
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