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Advanced-Math Questions
Prove that there is no positive integer n so that 25 < n2 < 36. Prove...
our new magazine initially sells 400 copies per month. Research indicates that a vigorous advertising campaign...
The acceleration of a particular sports car is proportional to the difference between 300 km/h and...
Reese, a calendar-year taxpayer, uses the cash method of accounting for her sole proprietorship. In late...
Let 0 < θ < 1 and let (xn) be a sequence where |xn+1 − xn|...
proof by induction: show that n(n+1)(n+2) is a multiple of 3
A loan is negotiated with the lender agreeing to accept $8, 000 after 1 year, $9,...
Question 4 Let a sequence {an}∞ n=1 a sequence satisfying the condition ∀c ∈ (0, 1),...
1. Solve the following IVP's given the initial conditions: a) y'(t) - 10(√t)y(t) = e(20/3)(t^3/2) ;...
Glucose measurements for fasting adults are normally distributed with a mean of about 84.5 milligrams per...
Let U(x,t) be the solution of the IBVP: Utt=4Uxx, x>0, t>0 ICs: U(x,0) = x, Ut(x,0)...
Determine whether or not constraint qualification is satisfied as the optimum X* for the following problem:...
Let H1 and H2 be subspaces of R^n. Prove that the intersection of H1 and H2...
Consider the implication: If x and y are even, then xy is even. (a) State the...
determine if the given initial value problem has a unique solution or not. why? y' =...
Discrete structures/ counting tuples: Count the number of passwords of length 3 that begin with a...
Prove that the rings, Z[x]/<2,x> is isomorphic to Z/2 and explain why this means that <2,x>...
prove that the sum of two odd integers is even
True or False? Support your answer. (a) If (an) does not contain decreasing subsequence, then it...
** Linear Programming ** max 6x1 + 10x2+9x3 + 20x4 Subject to 4x1 + 9x2 +...
A body of mass equal to 4 kg is attached to a spring of constant k...
Prove or disprove: The group Q∗ is cyclic.
. Let f and g : [0, 1] → R be continuous, and assume f(x) =...
True or False? Support your answer. (a) If (an) is a sequence of integers, then it...
For the following problems, classify the following problem about equilibrium (No equilibrium, Unstable equilibrium, Every number...
use excel to do this! It is an excel mini project ,so this is the question...
Change the function on the cylindrical coordinates: r sec θ = 4 into the function on...
let α be a path inX from x1 to x2. prove that α induced a natural...
Imagine f(X) is some function (transform) of X, and g(X) is another function (transform) such that...
Solve and plot the response of the model for 0<=t<=1.5, where input is f(t)=5t and the...
Let {s_n} be a sequence of positive numbers. Show that the condition lim as n-> infinity...
Let K be a field. Show that the category of vector spaces over K is an...
) Prove or disprove the statements: (a) If x is a real number such that |x...
Let H and K be subgroups of G. Prove that H ∪ K is a subgroup...
proof the following: a) Theorem: If ? is even, then 3?^2 + ? + 14 is...
x’+2x=sin(t), x(0)=1 solve the first order differential equation.
Calculus, Taylor series Consider the function f(x) = sin(x) x . 1. Compute limx→0 f(x) using...
general solution y"-y'=tsint
Let A be an n × n matrix and let x be an eigenvector of A...
Give an counter example or explain why those are false a) every linearly independent subset of...
As a chief industrial engineer in a manufacturing facility, you are contemplating the replacement of the...
Prove that the cardinality of of 2Z (the set of even integers) is ℵ0.
Use Pigeonhole Principle to prove that there is some n ∈ N such that 101n −...
In the right-half tx plane (t ≥ 0), plot the nullclines of the differential equation x′...
A school committee of 9 is being formed from a class consisting of 7 males and...
Bob reported that the patients suffering from the “Mad Man Disease” who used his “magic dust”...
Prove that Contractible sets and hence convex sets are connected.
Write a Taylor series for ln(x) through the third derivative term by expanding about x0 =...
Show that the symmetric difference of two sets is equal to the union of the two...
A certain piston has a diameter of 0.8756 ± 0.001 in. It travels within a cylinder...
To simplify the calculation of a model with many interacting particles, after some threshold value ?=?,r=R,...
The population of kangal is growing linearly. Six years ago, the population was 4600. Today it...
Show that a graph is connected if and only if there is no bipartition of the...
Prove orthogonality of standard families of functions over standard intervals: e.g., sines and cosines over [0,pi],...
A company is trying to maximize its profit on the sale of items A, B, and...
If g(t) is not everywhere zero, assume that the solution is of the form y= A(t)...
please write as a product of disjoint cycles. Determine if the permutation is even or odd,...
A rectangle with coordinate system with axes x,y,z is rotating relative to an inertial frame with...
show that there exists no rational number x such that x^2 = 3
Please use two methods to prove that the set of odd permutations of Sn is not...
Trees with the most leaves. (a) If T is a tree with n vertices, what is...
At an interest rate of 5%, what comes closest to the amount of time it takes...
2. For each occurrence of a variable in the following formula, say whether that occurrence is...
give an example of a graph that is not weekly connected
A batch of 422 containers for frozen orange juice contains 6 that are defective. Two are...
How many ways are there to select 6 different letters out of 26 letters of the...
Find the center of mass of the region bounded by the paraboloid x^2 + y^2 −...
1) The given family of functions is the general solution of the differential equation on the...
Find a particular solution to the differential equation −4y″+4y′−1y=−1t^2+2t+2e^3t. yp=
suppose that p is a prime with p= 3 ( mod 4). Show that for all...
in a game of hearts . the entire deck of cards is dealt. if you have...
If x1(t) and x2(t) are solutions to the differential equation x"+bx'+cx = 0 1. Is x=...
Find yy as a function of xx if y(4)−12y‴+36y″=0, y(0)=5, y′(0)=14, y″(0)=36, y‴(0)=0 y(x)=?
An energy-efficient central heating unit draws 15 amps in a 230-volt circuit, but costs $1,025 dollars...
The following constraints of a linear programming model have been graphed on the graph paper provided...
Find y as a function of x if y‴−13y″+40y′=140e^x y(0)=21, y′(0)=21, y″(0)=12 y(x)=?
he notion of an asymptote can be extended to include curves as well as lines. Specifically,...
Initial value problem dy/dt=(6t^5/1+t^6)y+7(1+t^6)^2 y(1)=8
Prove: Let x,y be in R such that x < y. There exists a z in...
5) 3y'' + 13y' + 10y = sin(x)
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