N 2 •Solve the differential Equation y"+y = catny by using variation of parameter method

Q: 2. Let f be the function from {a, b, c, d, e} to {1,2,3,4} with f(a) = 3, f(b) = 1, f(c) = 2, f(d) =…

A: Given  f  be a function from  {a, b, c, d, e}  to  {1, 2, 3, 4} with f(a) = 3f(b) = 1f(c) = 2f(d) =…

Q: an open ball in the set X, with its radius & satisfying -d(x, a), Vx € X at the open ball Be (x)…

A:

Q: Find the formula 1 [ f(x) dx = w₁f (0) + w₁f (1) that is exact for all functions of the form f(x) =…

A: Solution :-

Q: G I G L 6.1 soup sound ofte for

A: It is a repeating or recurring irrational number as 21 21 is repeating and hence it is called as…

Q: Find the matrix A that represents the usual inner product on R² relative to the basis S on R²…

A:

Q: Find T(t) and N(t) at the given point. r(t) = (t² − 11)i + tj; t=11 22 T(11) 1 i t j √5 X √5 N(11) :…

A:

Q: example of n-dimentional hypercube

A:

Q: 1. The formula is not in here 2. The formula is in Envelope 2. 1. The formula is not in Envelope 1.…

A:

Q: Find the steady-state probability vector for the stochastic matrix P. [0.9 0.3 0.2] P = 0.1 0.6 0.3…

A: Given P = 0.90.30.20.10.60.300.10.5

Q: f p is eigen value of A then find the eigen value of A inverse

A:

Q: Use three-point midpoint formula to evaluate the first derivative of y = x² + 4x − 5 at x = 0 using…

A: Given that y=x2+4x−5. We have to find the first derivative of y=x2+4x−5 at x=0 using a value of h=14…

Q: Determine the value of z in the below equation, giving the answer in the form x + yi. z - 8 = i (7 +…

A:

Q: Given the set X = {x € R³ : d(x, a) < r}, where d is the usual metric on R³. 3 The set X C R³ is an…

A: Solution

Q: Consider the plane P with the Cartesian equation 7x+ 5y + 5z = 33. (a) Express the above Cartesian…

A: Please type correctly

Q: Let p(x), g(x), r(x) be the following expressions: p(x) :: : x² - 7x + 10 = 0 q(x): x² - 2x - 3=0…

A:

Q: What is the missing number?* 15 17 1 8 12 27 40 90 28 21 12 23 13 ?

A:

Q: Determine the equation of the curve whose slope at any point is equal to and which passes through…

A:

Q: Evaluate divergence VA when A = 2xay + 3yay- 4zaz and V = xyz.

A:

Q: Express the expression 5.x² * in into Sigma notation.

A: The binomial expansion:a+bn can be expressed in Sigma notation as: a+bn=∑r=0nnr an-rbr.

Q: Page 3 3. For |2 <1, 1+z+z²+... 2 Using this expansion, by matching terms show that if f(2)==0a, 2³,…

A: We have to find maclaurin series for g(x).

Q: 2. Determine the value of (k) in each of the terms below from the binomial expansion of 15 (a + b)…

A:

Q: Identify and sketch the graph of the following equations in R³ (a) x² + 2y² +2². 8x + 12y2z + 35= 0…

A: The given equation in part (a) is x2+2y2+z2-8x+12y-2z+35=0. The given equation in part (b) is…

Q: 3. Solve the diffusion problem that governs the temperature field u(x, t) a²uxx = ut, 0<x<L, 0<t<∞0…

A:

Q: Determine E მა მა + მო მა 2 - მ2 მ0 მგ if e8² = w sech 0.

A: We have to find partial derivative .

Q: For the given matrix and eigenvalue, find an eigenvector corresponding to the eigenvalue. A = -10-17…

A:

Q: Use the Fundamental Matrix solution to solve the following initial-value problem: 201 020 x(0) -…

A:

Q: where every entry on the diagonal of the matrix in the last line is 11, and every entry below the…

A: We have to find the values of a,b,c, and d.

Q: Problem 5. (a) Show that if A = A-¹, then det(A) = ±1. (b) If ATA-¹, what is det(A)?

A:

Q: Example 7.31. Obtain the cubic spline for the following data x: 0 1 2 3 y : 2 -6 2 8

A: We have to find the cubic spline for the given data.

Q: Decode the number using the given private key. Decode the number M = 15 using the private key d = 53…

A: Solution :-

Q: 1. Approximate the value of each of the following definite integrals using: i. Trapezoidal Rule ii.…

A: 1. Given integral is∫12xlnx dxn=4The value of the given definite integral is approximated using the…

Q: Find the laplace transform of cosat using the formula L{f(t)} = e-stf(t)dt. Hence find the 0 laplace…

A:

Q: Find the steady-state probability vector for the stochastic matrix P. [0.2 0.1] P = 0.8 0.9

A: We want to find steady-state probability vector for stochastic matrix P.

Q: Given the set P of all points in a plane, let M denote the set of all permutations of P that…

A: Given : set P of all points in a plane, let M denote the set of all permutations of P that preserves…

Q: A singular value decomposition of a matrix A is as follows: [0.5 -0.5 0.5 -0.5] [15 0 0.5 -0.5 -0.5…

A:

Q: Example 7.7. Find f (22) from the Gauss forward formula x: 20 25 30 35 40 45 f(x): 354 332 291 260…

A:

Q: Consider the following sets, with U- N; that is, the universal set is the set of natural numbers and…

A:

Q: Find the eigenvalues of A, and find a basis for each eigenspace. 63 A-[$] = Select one: A.6-3i, 3₁…

A:

Q: (6 cis 120°)(4 cis 30°) is equal to? answer should be in polar form also

A: (6 cis 120°)(4 cis 30°) is equal to? answer should be in polar form also

Q: Decide whether the integral is improper. 1. "In(x³) dx O proper O improper Explain your reasoning.…

A: The given integral is ∫1∞lnx3 dx To find: the given integral is proper or improper.

Q: Define the linear transformation T: R → Rm by T(v) = Av. Find the dimensions of R" and Rm. -1 A = -1…

A:

Q: 1. Given the following matrices: 1 2 [4 2 A= B = 8 1 14 -1 -3 a. [(AC)BT] — DT b. [BD)TCT] + A…

A:

Q: Show that the matrix A = singular. 1 -2 3 4 0 5 0 is 60

A:

Q: Example 7.11. Employ Stirling's formula to compute y 12.2 from the following table (y₂ = 1 + log₁0…

A: The given values are x=12.2 and x0=12 . The formula to find p is given by  p=x-x0n. The Stirling…

Q: Find the value of (3/2). 4

A:

Q: Suppose that a mass of 219 g stretches a spring 5 cm. If the mass is set in motion from its…

A:

Q: This question has multiple correct answers! Let V be a five-dimensional vector space, and let S be a…

A:

Q: Suppose the invertible n x n matrices U and V satisfy the special properties U2 V2 and UVU = V. (a)…

A: Given : U and V are n×n matrices such that  U2 = V2  and   UVU = V. To prove : UmVUm = V  for all…

Q: Knowing that G = S6, define the set Gr= {a EG: a(t) = t for all t = T} If the set T = {1, 2} C S,…

A:

Q: Let u(x, y) = e¹ cos y + xy. Show that u(x, y) is harmonic. Find an analytic function g(z) such that…

A: