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Advanced-Math Questions
A climber on Mount Everest is 6000 meters from the start of his trail and at...
A password must consist of a minimum of 8 letters (not case sensitive) and a maximum...
Hint if need to find ex 4.1^5 make f(x)= x^5, f'(x)= 5x^4, and plug in 4...
We are given n distinct balls and m distinct boxes. m and n are non-negative integers....
A hundred players are participating in this game (N = 100). Each player has to choose...
Use Stokes' Theorem to evaluate S curl F · dS. F(x, y, z) = x2...
(a) Consider x^2 + 7x + 15 = f(x) and e^x = g(x) which are vectors...
Calculate the triple integral of xzdV where T is the solid tetrahedron with vertices (0; 0;...
Use the method of variation of parameters to find a particular solution of the differential equation...
1. (a) For the relation. xe^y= x^-1 ln(y^2 +1)-arcsec x taking the derivative of both sides...
Let the domain under consideration consist of all positive integers greater than 2. Define the following...
sketch the function f and obtain fourier series 1. f(x)=|x|, -2pi<x<2pi
(1 point) Find a non-zero vector x⃗ perpendicular to the vectors v⃗ =[1,5,−2] and u⃗ =[1,4,3]....
Prove: If A is an n × n symmetric matrix all of whose eigenvalues are nonnegative,...
Consider the expansion of (x+1)8, which terms in the expansion have a coefficient of 56? x^4...
(Modern Algebra) Prove using the Lagrange theorem that, except for isomorphisms, there are only two groups...
Using induction prove that for all positive integers n, n^2−n is even.
Let x0=1, x1=1.25, and x2=1.6. Using data at these xi, construct interpolating polynomial of degrees at...
Consider the complement of the event before computing its probability. If two 10-sided dice are rolled,...
Consider the function f(x) = sin(x). Suppose we want to approximate f 0 (0) by using...
Find a power series representation for the function and determine the radius of convergence. 1) f(x)=x^3/(x-2)^2...
For a bit string containing 10 bits, how many strings are there that contains 5 consecutive...
find the general solution. 1- y^6(4)+12y''+36y=0 2-6y^(4)+5y'''+7y''+5y'+y=0 3-y^(4)-4y'''+7y''-6y'+2y=0
Prove p ∨ (q ∧ r) ⇒ (p ∨ q) ∧ (p ∨ r) by constructing...
Let V be a finite dimensional space over R, with a positive definite scalar product. Let...
Find the fixed point of e-e^(x) to within 0.1 by using xed point iteration.
Solve 2(x+2)y''+4y'+6/(x+2)y=5
The management of the UNICO department store has decided to enclose a 918 ft2 area outside...
Find all zero divisors in the ring: ℤ4 x ℤ6 Explain please.
From data compiled over a 5-year period by Women's Daily in a study of the number...
Show that every ideal S of ℤ is equal to mℤ for some m∈ℤ. [Hint: suppose...
Consider the following eigenvalue problem x 2φxx + xφx + λφ = 0, 1 < x...
Assume that the initials of any person are written using only the 26 uppercase letters and...
Discrete Math Question: Using the fact that if A < B and C < D, then...
An airline sells all the tickets for a certain route at the same price. If it...
L(x, y) = ((4x − 2y)/5, (−2x + y)/5) 1.) What is the basis of Ker(L)...
Alice manages a store that sells MP3 players. Each Thumper takes 6 hours to create the...
Assume that a parameter x is described by a continuous function f. A mean value of...
Solve the system of linear equations using the Gauss-Jordan elimination method. 2x + 2y + z...
In a large metropolitan area, 30% of the commuters currently use the public transportation system, whereas...
Suppose a population of honey bees in Ephraim, UT has an initial population of 4800 and...
how many different ways are there to place 1 blue, 1 yellow, 1 red, 3 black,...
Determine whether or not x^2+x+1 is irreducible or not over the following fields. If the polynomial...
A population of 40 deer are introduced into a wildlife sanctuary. It is estimated that the...
----- It's Discrete Mathematics 1.Write each set using set-builder notation. a) C = {...,1/ 27, 1/9,...
Let T be a tree of order at least 4, and let e1, e2, e3 ∈...
Express the following sum (which is in expanded form) as an infinite summation (using the∑symbol):n1/2+ (2n)1/4+...
Given dy/dx =y(y−3)(1−y)^2 dx (a) Sketch the phase line (portrait) and classify all of the critical...
Find equations for all asymptotes of f. For each asymptote found, state if it is horizontal...
If T:R3→R3T:R3→R3 is a linear transformation such that T(1 0 0) = ( 2 4 2)...
The Megabuck Hospital Corp. is to build a state-subsidized nursing home catering to homeless patients as...
Let f : R − {−1} →R be defined by f(x)=2x/(x+1). (a)Prove that f is injective....
Prove by induction that 7 + 11 + 15 + … + (4n + 3) =...
please answer the following questions: *An experiment consists of rolling two dice. Find the probability that...
Find an equation of the plane. The plane that passes through the point (−1, 1, 3)...
Complete the parametric equations for the line where the planes −10x + 7y + 3z =...
Solve sinh(z) = - (i/2)
1. A truck with 24-in.-diameter wheels are traveling at 60 mi/h. Find the angular speed of...
In a hybrid corn research project, 200 seeds were planted, and 120 of them germinated. Find...
Solve the initial value problem y′=[10cos(10x)]/[3+2y], y(0)=−1 and determine where the solution attains its maximum value...
2. Let R be a relation on the set of integers ℤ defined by ? =...
a. Draw the parabola y=x^2 and the point (0,3) in the square window -2 < x...
Let Σ = {0,1}. Prove that the language { w | w contains the substring 01001...
Set up the following BVP wave problem and solve it. Suppose there is a string of...
Express each English statement using logical operations ∨, ∧, ¬ and the propositional variables q, p,...
How many string of four decimal digits do not contain the same digit three times? How...
Let f(x) be a polynomial and let r be a root of f(x). If x_1 is...
. Prove that, for all integers n ≥ 1, Pn i=1 i(i!) = (n + 1)!...
For this last exercise, as practice in reading and using real acceleration data, you will integrate...
The radius of a circle has increased by 4 cm over the span of 10 hours....
Setup the integral to find the hydrostatic force on a square of side 2 submerged under...
separable deq: dy/dx=4(x^3)y-y with the ivp y(1)=-3
Solve the given differential equations: a) dy/dx=(x+1)^2 b) (x+1)dy/dx-xy=x^2+x
Consider the following initial value problem: dx/dt + 7x/t = et^4, x(1) =2 (a) Find an...
Using the non-preemptive and preemptive Priority schedulers, draw out process execution timelines for the following processes....
Use the pigeonhole principle to prove the following statement: Suppose teacher gives a Two questions multiple-choice...
consider the function f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) find the local maximum and minimum...
Prove the following statement by mathematical induction. For every integer n ≥ 0, 2n <(n +...
Semiannual payments are required on an $90,000 loan at 8.0% compounded annually. The loan has an...
Prove that the relation R on the set of all people, defined by xRy if x...
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