Advanced-Math Questions

##### Use exponential generating functions to determine the number of strings of length 12 with the following...

##### y'' +3y= t y'(0)=0 y'(pi) = 0 solve with fourier series

##### Let P be the plane given by 3x +4y +5z = 0, and let T :...

##### You have below a table on the amount of investment and the average Rate of Return...

##### Let f be a bounded measurable function on E. Show that there are sequences of simple...

##### Note: In this chapter and in all succeeding work throughout the course, unless instructed otherwise, calculate...

##### Prove: That in an equilateral triangle the distances from a point are always the same value

##### Given: the medians divide a triangle into 6 smaller triangles. Prove: The area of all the...

##### Let g from R to R is a differentiable function, g(0)=1, g’(x)>=g(x) for all x>0 and...

##### Find the point of intersection of the two lines l1:x⃗ =〈8,6,−16〉+t〈−1,−5,−1〉l1:x→=〈8,6,−16〉+t〈−1,−5,−1〉 and l2:x⃗ =〈21,1,−43〉+t〈3,1,−5〉l2:x→=〈21,1,−43〉+t〈3,1,−5〉 Intersection point:

##### Define f: R (all positive real numbers) -> R (all positive real numbers) by f(x)= sqrt(x^3+2)...

##### Let G be a finite group and H a subgroup of G. Let a be an...

##### How to represent the 3SAT expression of this instance in a binary boolean tree. Thank you...

##### Prove that tue union of countable sets is countable.

##### Show that the exponential function assumes any complex value other than 0.

##### Prove that any m ×n matrix A can be written in the form A = QR,...

##### One design for a solar furnace is based on the paraboloid formed by rotating the parabola...

##### Linear Algebra question:Suppose A and B are invertible matrices,with A being m*m and B n*n.For any...

##### Solve the wave equation: utt = c2uxx, 0<x<pi, t>0 u(0,t)=0, u(pi,t)=0, t>0 u(x,0) = sinx, ut(x,0)...

##### It is convenient to add salt to butter, produced in a continuous butter making machine, by...

##### Find a complete solution to the difference equation yn+2 + 2yn+1 - 3yn = 2 +...

##### The small mountain town in which you live has been under attack from a roving group...

##### y'+y cos t = y^2 te^ sint Solve the equation

##### Let a, b, and c be integers such that a divides b and a divides c....

##### when a mass of 2 kg is attached to a spring whose constant is 32 N/m,...

##### 1)Test whether the Gauss -Seidel iteration converges for the system : 2x+y+z=4,x+2y+z=4,x+y+2z=4 .Use a suitable norm...

##### If f:X→Y is a function and A⊆X, then define f(A) ={y∈Y:f(a) =y for some a∈A}. (a)...

##### What are the equivalence classes for the relation congruence modulo 6? Please explain in detail.

##### Find the hyperbolic equation 8) Foci F(±4, 0) and asymptotes y = ± [x√(14) / √(2)]...

##### Let h(x,y)=k*x^2+6xy+14*y^2+4y+10. (a) Find the minimal value of the function h for k = 2. (b)...

##### y’’-2y=x+e^x

##### consider a 2^6-2 with 16 runs design. using E=ABC, F=BCD we get I=ABCE=BCDF. if we drop...

##### Prove that the function f(x) = x2 is uniformly continuous on the interval (0,1).

##### prove xy < 1/4(x+y)^2

##### Find the general solution to the following differential equation using the method of variation of parameters....

##### A scientist puts 100 grams of radioactive radium having a half-life of 1690 years into a...

##### Consumers in a certain state can choose between three long-distance telephone services: GTT, NCJ, and Dash....

##### f(t)is an odd, periodic function with period 1 and f(t)=3−6t for 0≤t≤0.5 (I) Find the Fourier coefficient...

##### In a survey of 800 investors, it was reported that 475 had invested in stocks, 420...

##### Write the continued fraction representation of each of the following rational numbers. (a) 18/13 (b) 49/17...

##### 2. Let Q1 = y(2), Q2 = y(3), where y = y(x) solves y' + 2xy...

##### Two tanks contain 50L of brine each. The first one has a salt concentration of 10...

##### Let n be a positive integer. How many n-digit numbers either begin with 111 or end...

##### The functions f1(x) = x and f2(x) = x6 are orthogonal on [−4, 4]. Find constants...

##### A palindrome is a sequence that is identical whether read backwards or forwards. For instance, the...

##### Knowing Z_27 is isomorphic to Z_3[x]/x^3+2x+2 , find the generator for Z_3[x]/x^3+2x+2

##### Prove that if T is a discrete topological space (i.e., every subset of T is open)...

##### The output response, ?(?) of a feedback control system is given by: ?(?) = (? /...

##### Post your answer to one (1) of the following questions: What is a logarithm? If your...

##### A square matrix A is said to be idempotent if A2 = A. Let A be...

##### Given y1(t)=t^2 and y2(t)=t^-1 satisfy the corresponding homogeneous equation of t^2y''−2y=2−t3, t>0 Then the general solution to...

##### Solve y''+y= (1/4)sin(3x) - (3/4)sinx using undetermined coefficients.

##### Solve the PDE 2yux + (3x2 - 1)uy = 0

##### Sec 6.2 1.Write an augmented matrix for the following system of equations. 9x-8y+6z=-1 7x-5y+2z=9 6y-8z=-9 The...

##### Solve the PDE using the change of variables v = x, w = y/x x2uxx +...

##### Derive a relationship for percent depth (PDD) dose as a function of source to surface distance...

##### This skin depth of a certain nonmagnetic conducting material is 5um at 4 Ghz Determine the...

##### Describe, in less than 100 words, what was your project about, why you chose the particular...

##### Consider the following linear programming optimization problem: min z = x1 - x2 + x3 x1...

##### Consider the following problem Minimize x + y + 2z Subject to x2 + y2 +...

##### Prove: If n ≡ 3 (mod 8) and n = a2 + b2 + c2 +...

##### Discrete math problem: The length of a path between vertices u and v is the sum...

##### 3) A cost‐minimising producer faces the following production constraint: ? = ?11/2?21/2, where ? is the...

##### Select the lightest, rectangular Douglas fir section for the cantilever beam of 10- ft span that...

##### Number Theory Find the remainder when a) 2^67 is divided by 7 b) 3^49 is divided...

##### Use the pumping lemma to show that {w | w belongs to {a, b}*,and w is...

##### number theory Find a) the last two digits in the decimal representation of 3^86 b) the...

##### Can someone show their work on solving cosz=10 through logarithms of complex numbers? I know the...

##### Consider an annulus with inner radius a and outer radius b. Suppose u satisfies the Laplace...

##### Suppose A is a subset of R (real numbers) sucks that both infA and supA exists....

##### Suppose G and H are groups and ϕ:G -> H is a homomorphism. Let N be...

##### effect the decomposition of factors of the following polynomials with the information provided: a) P(x) =36x^3...

##### What is the value of the prefix expression / − ↑ × / 9 3 7...

##### how many 3-digit numbers are there that contain at least one three?

##### Find all solutions to the given system by eliminating one of the variables. 1. 3X1 +...

##### A mass of five kilograms is mounted horizontally on a spring, with spring constant 1 Newton...

##### For each of the following relations on the set {1, 2, 3, 4} (a) { (1,...

##### The current spot price of a stock is $38.00, the expected rate of return (per annum)...

##### what is the difference between a regular equation and a differential equation? What are the types...

##### Suppose that for retirement purposes, over the course of 27 years, you make monthly deposits of...

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