2. Verify that the set of functions {1, x, cos(x), sen(x)}forms a fundamental set of solutions of the differential equation y" = 0, x € (-∞, ∞).

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A:

Q: 2) For x 0 solve the Euler equations a) 2" b) x²y" xy + y = x 5/² e³. --

A: The differential equation is :The aim is to solve the differential equation

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A: A linear transformation T:V→W is invertible iff T is one-one and onto.T is one-one iff kernel of T,…

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A: Solve the given initial value problem by operator elimination method.

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Q: QUESTION #8 On one day, 1360 people visited a local zoo. Adult tickets cost $8.25 and children's…

A: Adults visited the zoo that day = 693  And, Children visited the zoo that day = 667Explanation:

Q: Why is there an extra (4n - 1) in the top in u(n+1)?

A:

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A: Vβ​=[−3​0​−2​]   Explanation:

Q: Principle: $2,800.00 Interest Rate: 5% Date Borrowed: 4/9/2024 Date Repaid: 5/28/2024 Days…

A:

Q: 2. Apply the first phase of the 2-phase simplex algorithm to the following linear pro- gramme giving…

A: maximize subjected to                    We have to solve the problem by two phase method.

Q: QUESTION #5 A student purchases a mobile phone plan in which she is billed a flat fee of $5.15 per…

A: Refer to explanation for complete solutionExplanation:a. To write the linear equation that relates…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Q7: option c- third differences Q8: option a- 0Explanation: 7. Given the function y=(x−1)2(x+1), to…

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A: The answers are as follows: a. f(x) is concave down on the region (−3π,−π). b. A global minimum for…

Q: 18. The word problems in the application section of this test required you to make connections…

A: Jobs requiring calculations with formulas:1. Engineering2. Finance and Accounting3. Data Analysis…

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A:

Q: In this answer to the previous follow-up question, why do we multiply the (4n - 1) at the top? This…

A: Here, we explain the reason why we take the term (4n-1) on top.

Q: 3. List the first five terms of the following inductively defined sequences. (a) x₁ = 1, (b) y₁ = 2,…

A: The inductive sequences are :List the first five terms for the above inductive sequences

Q: Student question Explain why 2^2*4^2*6 ^ 2 is not a prime factorization and find the prime…

A: The objective of this question is to understand why 2^2 * 4^2 * 6^2 is not a prime factorization and…

Q: Prove that this sequence is / is not Cauchy. xn + a xn+1 = xn-1

A: The proof is given in the explanation section.Explanation:Solution:A sequence xn​ is Cauchy if for…

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A:

Q: You take out an adjustable rate mortgage for $100,000 for 20 years. For the first 5 years, the rate…

A: Dear student, below is an answer to your assignment. Please follow it closely for a clear…

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Q: (x+2, x ≤ 1 (B)Test the continuity of the function f(x) = {4-x, x>1, at x=1. 6

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Q: Find a basis for the plane x-2y+3z = 0 in R³. Then find a basis for the intersection of that plane…

A: Given equation of the plane We have to find the basis of the plane in .Then calculate the basis of…

Q: Let B = (1, x + 7, (x − 1)², 6׳) be an ordered basis for P3. Find the coordinate vector of f(x) =…

A: Given,                be an ordered basis for  and             To find the coordinate vector of…

Q: Question 1: (a) Consider the n-point Newton-Cotes quadrature rule n [^ f(x)dx ~ Σ wif(xi). i=1 (1)…

A: use the formula which is shown below for The general form of the error term for the n-point…

Q: (B) A hot air balloon rising straight up from a level field is tracked by a range finder 500 ft from…

A:

Q: * 30. Let n and k be integers with 1 ≤ k ≤n. Show that n Σ() ( k=1 k n - 1) = (2n+2)/2 - (2n).

A: The answer for the given questions has been solve step by step below please find the attachments…

Q: 4. Solve the differential equation y" - 6y" = 3 by coefficients indetermined

A:

Q: 3. Data on the amount of wear measured with two different materials A and B for shoes is shown:…

A: The objective of the question is to determine if the type of material matters for the wear on the…

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A:

Q: Consider the control process x' = -y + u(t), y' = x. Find to what point (in R^(2) ) the point…

A: Final answer and explanation are clearly mentioned in the next section.Explanation:To solve the…

Q: n investment of $10,000 earns interest at an annual rate of 6.7% compounded continuously. Find…

A: Given that an investment of $10,000 earns interest at an annual rate of 6.7%…

Q: P=-5x²-4x+104 p what is the elasticity of demand when x=4

A: P=-5x²-4x+104 p We have to find the elasticity of demand when x=4

Q: 4. Given the sequence defined by the following recurrence relation: ⚫aa ■.a. for 1≥2 Prove that a.…

A: To prove that an=2n! for any positive integer n, will use induction.Basis Step:*For n=1, a1=2=21!,…

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A: Since you have uploaded multiple parts questions according to our guidelines we have solved first…

Q: Suppose we wish to find the coordinate vector of w = relative to the orthonormal basis S = { 2 2/3…

A: See in detailsExplanation:I am giving my best☺

Q: Let g(x, y) = 6xy x² - 2y² Prove that lim lim g(x, y) (x,y)→(0,0) exists or that it does not exist.

A:

Q: It is generally recommended (here and in the exam) that in your answers, as well as giving the…

A: To solve the given linear program using the two-phase simplex algorithm, we'll first convert it into…

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A: Solution to this question has been provided in the below images with detailed…

Q: ) If F(ƒ) = ƒ(§) is the Fourier transform of f(x), show that the Fourier transform of x f(x) is…

A:

Q: (d) The secretion of hormones into the blood is often a periodic activity. If a hormone is secreted…

A: Given, a first-order linear ordinary differential equation: .It is required to solve the linear…

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A: The objective of this question is to find the volume of the region under the surface z = 9x^4 and…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: The questions in the image are about polynomial functions and their graphs.Question 5:This question…