Factor out the greatest common factor (GFC) in each: 1. a. 5x-20 b. 6x² + 42x c. 12x + 36 d. 5² +8²-8²

Q: 2n J₂ (x)=x [Jn-1 (x)+Jn+1 (x)]

A:

Q: Consider the production model x = Cx+d for an economy with two sectors, where C = The inverse matrix…

A: Given production model is x=Cx+d = 0.00.50.60.5x+4050   To Find: Inverse matrix x

Q: Find a differential equation whose general solution is y = cet + c₂e-4² = 0

A:

Q: Accumulate ₱56,000 for 650 days applying 10.5% exact interest

A:

Q: The current 1(t) in an LC series circuit is governed by the initial value problem below. Determine…

A:

Q: Use the method of variation of parameters to solve the initial value problem x'=Ax+ f(t), x(a) = x₂…

A: We have to find the solution x(t) using the method of variation of parameters.

Q: A certain experiment produces the data (1, 1.7), (2, 2.8), (3, 3.3), (4, 3.5), and (5, 3.9).…

A:

Q: a) A flexible string of length is tightly stretched between x = 0, x = π, on x-axis, its ends being…

A: The given problem is to solve the given partial differential equation with given initial conditions…

Q: A tank has pure water flowing into it at 10 liters/min. The contents of the tank are kept thoroughly…

A:

Q: What interest rate was applied if a loan of ₱65,468 will amount to ₱125,000 borrowed for 2.5 years…

A:

Q: a.V odv

A:

Q: S = Σ (1.02-1) ² 3-1

A:

Q: Find an LU factorization of the matrix A (with L unit lower triangular). 86 [... 16 8 A =

A:

Q: f(x): = X-4 x²-4x-21 Vertical Asymptote(s):_ Horizontal Asymptote: x-intercepts: 6+ st ++ 34 24 14…

A: The x-intercept is the point where the graph of the function intersects the x-axis and the…

Q: Let line L: x = 2t, y = 0, z = 3, and let line M: x = 0, y = 8 + s, z = 7+s, for some constants t…

A:

Q: primes

A:

Q: Solve the initial value problem y" - 5y' - 36y = 0, y(0) = a, y'(0) = 8. Find a so that the solution…

A:

Q: 1. Determine the convergence of the following sequences. C. 2n+5 2n 3n

A: I have given the answer in the next step. Hope you understand that

Q: Let X be a pre-Hilbert space then |(x, y)|

A:

Q: Employment. According to the U.S. Bureau of Labor Statistics, the number of professional services…

A: Given: The number of professional services employees fluctuated during the period l, as modeled by…

Q: Using the following 3 linear transformations, find their matrices:  g(x, y) = (7x, 2y)…

A:

Q: Determine all the eigenvalues of the matrix G given below. Hence, obtain an eigenvector…

A:

Q: For n > 1 we have Σμ(α) d|n = [1] = Τ if n = 1 if n > 1.

A:

Q: 10.Check whether 12" can end with the digit zero

A:

Q: 1.) 201 4sin (x) cos (x) dx dy 0 y² + 1 [¹ylnª (y² + 1)

A:

Q: The density function of a continuous random variable X is shown below. Find (a) the mode. (b) the…

A: Given  fx=2500441x1-x2-0.4≤x≤10otherwise

Q: Solve the initial value problem below using the method of Laplace transforms. y" +9y=27t² - 54t+ 60,…

A:

Q: develop a curriculum for a university for accreditation as an ICT coordinator to offer mathematics.…

A: Need and Significance of the study:- The scenario of the classroom is changing. There is a…

Q: (a) Use Gauss Jordan elimination method to solve the system of linear equations given by AX= B where…

A: The Gauss Jordan elimination method is used to find the solution of the linear system of equations.…

Q: 4. A password to a vault must have at least 8 characters where each character can be an English…

A: It is given that password can be  English letter or a digit. So available characters are:…

Q: Q2) The following data represents the results of an experimental test, if the relation between…

A: The least square regression analysis is done to fit a dataset into a linear equation of the form:…

Q: Multiply and then simplify the following. a) (x + 1)(x+8) b) (y + 2)(y-7)

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: If the areas bounded by the curve y=x is revolved about y=0, what is the moment of inertia of the…

A: Given curve are y=x, x=2 and y=0. We have to find the the moment of inertia of the solid formed with…

Q: D. (Bernoulli Differential Equation) Find the general (or particular) solution of the given…

A:

Q: Ex: Find the center of mass of the solid whose density &z and bounded above by the plane z=y, below…

A:

Q: Use Euler's method with step size h = 0.1 to approximate the solution to the initial value problem…

A: To Use: Euler's method with step size h=0.1 to approximate the solution to the initial value problem…

Q: In the first term, Sam's courses and grades were as follows: Calculate Sam Grade Point Average…

A: Introduction: Credits attempted - This is the total number of credits you've attempted for the…

Q: 14. Solve the differential equation dy t dt y y(0)=1 by the Euler method with h=0.1 to get y(0.2).…

A:

Q: Use the geometric method to find the eigenvalue(s) and corresponding eigenspace(s) of A. A₁ = A₂ = A…

A:

Q: Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Using DESMOS graph the equation: INSERT GRAPH HERE: Determine the: Characteristic Zeros y-intercept…

A: Given equation is y=2(x+3)(x-1)   To Draw the graph of above equation.   Also, determine the zeros,…

Q: Use row operations to solve the system.

A:

Q: 3. A climber anchors a rope at two points of equal height, separated by a distance of 100 feet, in…

A:

Q: Given the following initial value problem. dy/dt yt²-1.1y where y(0) = 1 The solution at t 0.75; Le…

A: Given dydt=yt2-1.1y where y(0)=1, h=0.25

Q: 3 GIVEN: V=M₂x2 WITH THE E.I.P. AND THE ORTHOGONAL SET: S = {m₁ m₂ ² = { [ ! ²3] [2]} W=LIN(S)…

A: Orthogonal Projection is the best approximation.

Q: Let {E} be a countable collection of sets of real numbers. Then UEn ≤Σm* (En) n * m n

A: Definition of outer measure: The outer measure of a set E is defined as, m*(E)=inf∑j=1∞Qj, where…

Q: The function y₁ = e" is a solution to (x − 1)y" — 2xy' + (x + 1)y = 0, x > 1. Use reduction of order…

A:

Q: 4. If tige Lim. 1/2 show that fy & L'UM.

A:

Q: For all x > 1 we have Σσι(n) = η<α ζ(2)2 + O(xlog *). 2

A:

Q: A. (Linear Differential Equations) Find the general (or particular) solution of the given…

A: