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Advanced-Math Questions
Find the general solution to the first-order linear differential equation. y' = -y(6-y)
a- Consider the vector space spamed by w= {e^x cosx,e^x sinx}.Determine if it's independent.
What does it mean for a set A to be compact in R? Give two examples...
ℒ−1 Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your...
Let ?+?+?=7 where ?,?,?∈ℝ. Prove that ?^2+y^2+z^2≥7/3
Consider the function f (t)= (−1)n if n < t ≤ n + 1 and where...
How many of the integers from 1 to 200 are divisible by 3,4 or 5?
1) How many permutations of the letters a, b, c, d, e do not contain the...
1) Suppose a1, a2, a3, ... is a sequence of integers such that a1 =1/16 and...
find the equation for the conic that satisfies the given conditions ellipses, center (-2,3), vertex (-2,0),...
Differential Geometry: Let a be a positive constant, and define x(u,v) := (v cos u, v...
. Given the matrix A = 1 1 3 -2 2 5 4 3 −1 2...
Prove that for each k ≥ 1, a graph which is regular with degree 2k can...
A matrix A is symmetric if AT = A and skew-symmetric if AT = -A. Let...
Write down all the monic irreducible polynomials of degree 1 in (Z/5Z)[x]. What is the product...
Which of the following describes legitimate weighted voting systems? l [q: w(A),w(B),w(C),w(D)] = [16:13,8,6,4] ll [q:...
Solve the following first order equations by integrating factors: (a) xdy/dx + 3y = x^6 ,...
A rock with 2kg is dropped from 300m with no velocity. As it falls, air resistance...
Two dice are rolled. Find the probability of getting the following results. Enter your answers as...
a) Show that for any integer x, its fourth power x^4 has remainder 0 or 1...
Consider the operator L(x, y) = (x+ 2y,2x+y). Compute the eigenvalues of L. What are the...
Prove that for n ≥ 3, n odd, the graphs of cycles Cn are bipartite.
This utility executes all the steps required to complete a sale. It looks up an item,...
A 100 gallon tank is filled with brine solution containing 50 pounds of salt. Pure water...
For a given real number x , there is a natural number n which is larger...
The seventh iteration k = 6 of the secant method in solving the equation f(x) =...
On a $375,000 home loan, you can either finance at 5.6% for 20 or 30 years....
Find the general solution. Express the solution in vector form. x' = x + 2y y'...
Let n be a positive integer and G a simple graph of 4n vertices, each with...
Show that on every set of three or more integers there are two of them x...
Sketch the graph of the function by applying the Leading Coefficient Test, finding the real zeros...
solve y''+4y'+4y=0 y(0)=1, y'(0)=4 IVP
We have a bag with balls of 10 different colours, how many balls do we need...
An investor will deposit D dollars into an account with annual percentage rate r. The investor...
G is a finite group. We have shown that C(g) ≤ G for any g ∈...
For n=15, π= 0.4 Cumulative Binomial table x 0 1 2 3 4 5 6 7...
Company 1 offers trade discounts of 9% and 14.2% on a pair of sunglasses with list...
find the c.d.p(f(x)) of a random variable with geometric distribution with parameter o<pci and based on...
Solve the differential equation using variation of parameters y" + 9y = 9sec^2 (3x)
Use Laplace transforms to solve the following initial value problem x'+2y'+x=0, x'-y'+y=0, x(0)=0, y(0)=289 the particular...
Nutrition: animals. The mouse weights (in grams) of a random sample of 100 mice involved in...
find the last two digits of 17^123456
Medicine. The reaction times (in minutes) of a drug given to a random sample of 12...
Find perticular solution y''-y'=e^x y1 = e^x found y2 = -1
. Find the volume of the solid that is bounded above by the surface z =...
The Digital Star Company makes two different models of computer tablets, which are assembled on two...
prove that n^3+2n=0(mod3) for all integers n.
Define a relation ? over the set of nonzero rational numbers as ??? if and only...
Prove that the complete set of solutions to the congruence x 4 − x 2 +...
Differential Equations: Please try to computer type, if not possible be clear and organize. Thank you...
1. What probability rule applies to this scenario? If 58% of the stats studs surveyed have...
(1) Determine φ (m), for m = 10, 24, 30 by using this definition: φ (m)...
If a mass weighing 40 lbs stretches a spring 6 inches what is the spring constant?...
use code blocks to write a code that a) solves linear, 2- variable simultaneous equation using...
create a rational function that has two vertical asymptotes and a horizontal asymptote other than y...
1. What can be said about the domain of the function where and ? Express it in terms...
Maximize ?=8?+? subject to ?≥−2, ?≥−4, 8?−7?≤28, 3?+9?≤57.
Based on long experience, an airline found that about 4% of the people making reservations on...
Best way to solve a linear algebra flow rate problem.
Let A be a square matrix with an inverse A-1. Show that if Ab = 0...
1) Show that ∀a, b, c ∈ ℤ, a|b ∨ a|c =⇒ a|bc. 2) Consider the...
Use the Taylor Polynomial of degree 4 for ln(1 − 4?)to approximate the value of ln(2)
A coil spring is suspended from the ceiling, a 16-lb weight is attached to the end...
Draw any 4 isoclines and mark the direction fields corresponding to them for the following Differential...
Suppose a bacterial count satisfies logistic hypothesis. The initial count is 450 organisms/mL and the maximum...
A bacteria is found which population grows 15% every 6 hours. Establish and solve an Initial...
Thirty chairs are evenly placed around a circular table. On the table are the name cards...
Given a 5 gallon jug and an 8 gallon jug, how can precisely 2 gallons be...
Suppose buses arrive at 10:10 and 10:30 and you arrive at the bus stop randomly between...
Differential Equations 3a. Use the integral definition of the Laplace transform to show that Carefully indicate the...
Supposed G is a graph, possibly not connected and u is a vertex of odd degree....
Prove don't use numbers prove properly " For all integers x and y larger than 2,...
Prove the following. For each m ∈Z+, m(m^2 −1)(m +2) is divisible by 4.
The indicated function y1(x) is a solution of the associated homogeneous differential equation. Use the method...
4. Find a general solution of t^2x′′ − 5tx′ + 5x = 6t^3, t > 0...
At a university all students must take a test to see if they understand campus polices....
y1 = 2 cos(x) − 1 is a particular solution for y'' + 4y = 6...
Prove that the function f(x) = |x| is not differentiable at zero, and show that the...
1) Use Strong Induction to show that for each n ≥ 1, 10^n may be written...
Applythe Gram-schmidt orthonormalizaion proceudre to the set 1,x2,x4 which is linearly independent on the interval [1,2]...
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