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Advanced-Math Questions
Show that P[x] where P = pZ is a prime ideal of Z[x] but not a...
Let P be the set of all ordered pairs (a, b) where a and b are...
3. The parametric curve ~r1(t) = 4t~i + (2t − 2)~j + (6t 2 − 7)~k...
Prove that a disjoint union of any finite set and any countably infinite set is countably...
Trout are swimming up the Blackfoot River at forty meters per hour (relative to an observer...
A borrower had a loan of $10,000 at 6% compounded annually, with 10 annual payments. Suppose...
Answer in Simple steps 1. Simplify: a. 8 + 6 ´ 2 b. (14 + 7)...
A large 500 gallon tank is full of pure water. Brine comes in that has 2...
Apply the Newton-Raphson method to find a system root: x ^ 2 + y ^ 2...
A mass of 68g stretches a spring 13cm. The mass is set in motion from its...
Water leaks from a vertical cylindrical tank through a small hole in its base at a...
There are six students, two juniors and four seniors, who must be assigned to the 6...
Please answer all parts of Question 1. Please show all work and all steps. 1a.) Find...
Login and algorithms 1) Every boy loves Mary. (2) Not all girls love themselves. (3) No...
f(x) = (ln x)^2+ 2x - 1 = 0 using Newton method with the initial guess...
Prove or disprove the following assertions: (a) If a binary operation is associative then it is...
1. Find the intersections and unions below, and give a proof for each. (a) ∩r∈(0,∞)[−r,r]. (b)...
Conjecture a formula for the value of 9n mod 10, and prove it correct by induction...
All necessary steps much show for these problems, please. The binary search algorithm is used with...
Complete the proof Let V be a nontrivial vector space which has a spanning set {xi}...
Consider f(x)=2x−1, x∈(0,1) (i)(Draw a plot of the periodic Fourier Series expansion of f(x). What is...
The following linear programming problem Maximize -200x + 300y subject to 2x+3y≥1200 x+y≤4002 x+32y≥900 x,y≥0 has...
While solving a linear programming problem(LPP) by simplex method, if all ratios of the right-hand side...
Let S = {a, b, c}* be the set of all infinite strings containing only the...
All necessary steps much show for these problems, please. Write the first 6 values in the...
A circle, centered at the origin with a radius of 2 units, lies in the xy...
A set of poker has 32 cards. 30 of them are in red, yellow and blue,...
A bag contains 5 red marbles, 2 green ones, 1 lavender one, 3 yellows, and 1...
Let (X,M) be a measurable space, let µ, ν be two finite measures on this space,...
Worksheet- First order differential Equations Applications: The radius of a spherical raindrop is found to increase...
Fix a ∈ C and b ∈ R. Show (prove) that the equation |z^2|+Re(az)+b = 0...
The Function D(h)=2e^-0.64h acn be used to find the number of milligrams D of a certain...
Given x^5 + x^2 + 1 is irreducible over F2, let F32 = F2[X]/(X^5 + X^2...
Let p(x) = x2 + x + 2 in Z3 [x]. a) List the distinct cosets...
Use Newton’s method to find a 6-decimal place approximation to the positive root of f(x) =...
4. Let A = {0, 1, 2, 3, 4, 5, 6} and define a relation R...
Let A be an m x n matrix and let E be a m x m...
Show that〈R×,·〉and〈R,+〉are not isomorphic binary structures. (Recall R× is all real numbers except 0)
seek the power series solutions of the given differential equation about the given point x0. Find...
A mass of m kilograms is attached to a spring with spring contant k kilograms per...
Prove if ab ≡ cd(mod m) and fg ≡ hj(mod m) then (ab + fg) ≡...
Let (an)∞n=1 be a monotone sequence. Let (ank )∞k=1 be a subsequence of (an). Prove that...
Find the solution to the linear system of differential equations { x ′ = −35x−120y {...
Let phi: G1 -> G2 be a surjective group homomorphism. Let H1 be a normal subgroup...
Let h be a bounded function that is zero almost everywhere (a.e.) in [a, b]. Show...
Find the solution to the linear system of differential equations { x ′ = 20x+12y {...
P.V=n.R.T this is the equation used for ideal gases.This equation gives the state of real gases...
Let C be a q-ary code of length n. Assume the minimal distance d(C) is an...
Let X be a set of students, and Y be the set of science classes. We...
1.Let A be an n x n matrix. Which of these conditions show that A is...
A spring is stretched by 7in by a mass weighing 17lb. The mass is attached to...
4. Prove explicitly that congruence modulo 4 is an equivalence relation. Then list the equivalence classes....
1. Let A and B be subsets of R, each of which A and B be...
(1) A professor contributes $900 per year into a retirement fund by making many small deposits...
Classify the partial differential equation xuxx - 4uxt + tutt = 0 in the region x...
Let A=NxN and define a relation on A by (a,b)R(c,d) when a⋅b=c⋅d a ⋅ b =...
a) How many of the integers from 1 to 1000 are divisible by at least one...
Is the order of growth of any polynomial with complex coefficients zero? why?
A project is represented by the activity durations (in days, estimated at 90% likelihood of completion)...
Find the entry in the second row and first column of the inverse of 1 4...
Show that a triangular matrix is normal if and only if it is diagonal. Please use...
A car is driving at 30 kilometers per hour. How far, in meters, does it travel...
Let y1 and y2 be solutions of Bessel's equation t2y" + ty' + (t2 - n2)y...
a. What are the maximal and minimal elements, if any, of the set (N+,|)? Is there...
Let A and B be sets and let X be a subset of A. Let f:...
An ant walks on the Cartesian grid, starting at (0, 0) going to (10, 8). The...
Calculate the percentage of the population in each state that is African American. (Use the BLACK...
If F is a free group of rank n and H is a subgroup of F...
Prove the following using induction or Induction Principle: Given Tautologies α(alpha), β(beta). Prove that (α and...
Let A=[x 7 y 5]. Determine the values of x and y for which A2=A.
Let W be an infinite dimensional subspace of the vectorspace V. Show that V is infinite...
1)Give a proof of the binomial theorm by induction 2)Prove Pascal's triangle is symmetric with respect...
Linear Algebra: Using the 10 Vector Space Axioms, prove that if u is a vector in...
1) Determine whether the following conclusions are valid or invalid. Use a diagram or one of...
Prove the following: If n is odd, use divisibility arguments to prove that n3 −n is...
Using euler's forward method solve this integration: dx/dt = -10 * x(t) + 5 x(0) =...
Full question is A decimal machine that carries 15 decimal places in its floating point numbers...
Define the boundary of a set as the intersection of the closure of the set and...
Consider an ellipse with major (x ) radius a and minor (y ) radius b ....
What are the possible orders of number in Zp, where p=7919 (hint: p-1=7918 = 2 x...
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