Oppgave 3 Løs differensiallikningen ved hjelp av Laplacetransformasjon: y"+y=t når y(0) 1 og y'(0) = −2

Q: Provide details/explanations of your solutions,indicate any formulas you are using and clearly show…

A: Final answer and explanation are clearly mentioned in the next section.Explanation: Please let me…

Q: Find a particular solution to the differential equation using the Method of Undetermined…

A:

Q: (C) If y=+ 3 - 2 - 6x+8, then find the following: (1) The critical points. (2) The intervals in…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Set X is convex if

A: Given that a set X is convex if  . . . .

Q: the solver did not follow by the Note  Note: In all questions the parameter k must be replaced by…

A:

Q: Find a basis for this vector space. v={( a ||a+2b-d=0 and 3b+d=0} C What is its dimension?

A: The given vector space .The objective is to find the basis of the vector space and its dimension.

Q: It is known that producing an air conditioner requires variable costs of $100 per unit and $5000…

A: Given Information:Fixed cost on producing Air conditioners is . Per unit cost is . If advertising…

Q: The problem describes a debt to be amortized. (Round your answers to the nearest cent.) Sean Lee…

A: Part 1: Answer:(a) The size of each payment is approximately $753.18.(b) The total amount paid for…

Q: 2 (Recommended) Find the largest possible number of independent vectors among = --1--0-1--0-0-0

A:

Q: Let B = {1, t − 3, (t − 3)² } and C = - - {1, t − 2, (t − 2)²} - be two bases for P2. The function…

A: a=1, b=-2, c=5Explanation:Step 1: Step 2: Step 3: Step 4:

Q: ∞ k=1 Does the series to show all your work justifying your answer. (−1)k+1 1 converge absolutely,…

A:

Q: In Problems 15–28  find the general solution of the given higher- order differential equation.…

A: find the general solution of the given higher- order differential equation. y'''' +y'''+y''=0.

Q: Q1\ Answer (A) If y = sec(x), prove that y" + y = 2 y³ lo

A:

Q: Use the Euclidean algorithm to hand-calculate the greatest common divisor for the integers given…

A: The integers are:479 and 2071The aim is to calculate the greatest common divisor using the Euclidean…

Q: A bank in Toronto charges 2.75% commission to buy and sell currencies. Assume that the current…

A: a. The amount in Canadian dollars to purchase US$1,470 is C$1,917.03.b. The commission for this…

Q: Ek of mass 6 kg hangs from the end of a spring. When the brick is at rest, the spring is stretched…

A: We have to set up a differential equation with initial condition of s(t).

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: (3x - 2y - 1)(3x + 2y - 1)Explanation:The given expression is a quadratic in terms of x  and…

Q: Suppose Σ XK is conditionally convergent, and define k=1 ak = max {xk, 0} and bk = min {xk, 0} ∞…

A: The objective of this question is to prove that the series Σa_k from k=1 to ∞ and Σb_k from k=1 to ∞…

Q: (A Calculator is not allowed for this problem) Forming Maclauring Series: Determine the first four…

A:

Q: Find the maximum and minimum values of the function f(x, y) = 2x² + 3y² - 4x-5 on the domain x²+ y²…

A: Given function .We have to find the maximum and minimum on the domain .

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…

Q: Let B = = (1, x, x², x³) be an ordered basis for P3. Find the coordinate vector of f(x) = −4x³ +3x²…

A:

Q: The context of this question is linear transformations on the plane R². Let T: R² → R² be the…

A:

Q: Prove the second part of each law: AU (BNC) (AUB) (AUC) Distributive laws An (BUC) = (ANB) U (ANC)…

A:

Q: Use the elimination method to find a general solution for the given linear system, where…

A:

Q: Find the minimum of Example 1: y(x) = 2x² + 20x - 22 Example 2: y(x) = Cos(4x) * Sin(10x)…

A: Note: As per our guidelines, we can solve the first question. Please repost the remaining questions.

Q: x 1 Label (y) 2,2.2 0, -0.1 -3, -2.5 1,1 Fit the linear 1 regression modely = wx using squared…

A: The objective of this question is to fit a linear regression model to the given data using the least…

Q: Take note, solve until iterations converge. All iterations are five decimal places. Please help me…

A: 1. The approximate root of the equation f(x)=0 using the fixed-point iteration method with x0​​=5 is…

Q: Find the solution of y" - y" + y' — y = 0, ƒ(0) = 1, ƒ'(0) = 3, ƒ"(0) = 1.

A:

Q: Find and classify all the stationary points of f(x1,x2)=3(x₁ + 8x₂) − 2(xí + x₂) + 1

A:

Q: (c) We want to find a three-point formula, [*^* ƒ (x)dx = w₁ f(x1) + w2f (x2) + wzf(xx) + E, -h…

A: Three-Point Formula for a Definite IntegralWe want to find a three-point formula for the definite…

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: (a) Let f(x) = 2 sin x. Write down the Taylor polynomial approximation of degree 2, p2(x), for the…

A:

Q: (3) Consider the statement "If ged(x, 20) = 1, then gcd(x, 2) = 1 or gcd(x, 5) = 1." In English (not…

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…

Q: (Feb 21—27) Projected Actual Difference Food Cost $6,971 $7,842 +$871 (over)…

A: The objective of the question is to determine the adjustments that need to be made to the Food and…

Q: Suppose that f(n) is a multiplicative function such that for any positive prime integer p and…

A: 1. Suppose that is a multiplicative function such that for any positive prime integer p and…

Q: (-4)(-5) using number line model

A: The objective of this question is to find the product of -4 and -5 using a number line model. The…

Q: SHOW ALL YOUR WORK! 1. Let sets X, Y, and Z be subsets of the universal set U. Using Venn diagrams,…

A: The objective of this question is to determine the conditions that must hold for the union of a set…

Q: 5. Use the Laplace transform to solve the value problem Initials y" + y = d(t − 2), y(0) = 0, y'(0)…

A: We have to use Laplace transform to solve the following IVPWe know that

Q: Point A (2,2) is one of the vertices of a regular octagon inscribed in a circle centered at the…

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: Given the matrices below and that A = LU, solve Ax = b. 1 5 -2 -26 A=4 421 21-14 b || -121 1 2 17 27…

A: We have to find .

Q: Find the coordinate vector of v = [-7 [-7 [011], [221] ). −4 -4 -5] relative to the ordered basis B…

A: Vβ​=[−3​0​−2​]   Explanation:

Q: Use the Linear Approximation to estimate Af = f(4.7)f(5) for f(x)=x -3x². (Use decimal notation.…

A:

Q: (a) If a 7 by 9 matrix has rank 5, what are the dimensions of the four subspaces? What is the sum of…

A: a) A 7 by 9 matrix which has rank 5,The aim is to find the dimension of the four subspaces and what…

Q: (A) Sketch the graph of the function y = x²+1 x

A:

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…

Q: 2. For each of the following series determine if they converge or diverge. You may use any test we…

A: 2 . (e) and (f)

Q: Suppose f(x,y) = (x-y)(9-zy). Answer the following. Each answer should be a list of points (a, b, c)…

A: