Use a Fourier transform to solve the following initial value problem for the free Schrödinger equation, where x E R andt> 0: Ut = iurx, u(x, 0) = e-?.

Q: Let f, g and h be R → R functions, f(x) =3x+8, g(x) =2x – 1, and h(x) = x² + 1. Compute the…

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Q: b) Using the basis S in (a), find [T)s if ū = (2, i, 2 – i).

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Q: Find a basis for the subspace W of F(-co,co) W f f+2f= 0) OA. B. D. O E. No correct answer

A: The given question is related with basis for a subspace. Let W = f: f' + 2f = 0 be a subspace of F-∞…

Q: Lincoln bought 3 bottles of an energy drink for $4.50. Write an equation relating the total cost y…

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Q: [2] What percentage of registered voters (in this sample) thought that а. a female could be elected?…

A: let will run be denoted by WR will not run be denoted by WN no opinion be denoted by NO elected be…

Q: Find the volume of the paralellepiped with one vertex at P (1, 1, 1) and determined by the line…

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Q: 4. Find the number of surjections from {1, 2, ..., m} to {1, 2, ..., n} such that no element in the…

A: We have to find the number of surjection.

Q: Question: Solve your systems of differential equations given below. (NOTE: You can upload your…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: The trustees of a college have accepted a gift of $150,000, but are required to deposit it in an…

A: Given that PV of gift =150000Rate semiannually =10%/2 =5%=0.05Number of Periods =2*8 =16 and…

Q: (c) Let T:V W be a linear transformation. Prove that if we restrict the domain of T to the…

A: Here we use the property of orthogonal set.

Q: 15 Select the correct answer. Edgar borrowed a total of $10,000 from three sources: the bank, his…

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Q: a) Detemine whether this set of vectors is orthogonal? Q. No. 3 -2 8. 4 1 b) Detemine if the…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: A graph of a transformed logarithm f( x ) = a log( x + b ) + c appears below -2+ a = b = C = 2)

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Q: Example 2.8.3 Let G = SO(2), the group of all 2 x 2 real matrices which are orthogonal, that is,…

A: By the given map, we have unique matrix for every point on unit circle..and hence the group G is in…

Q: Question 7 ( Let C be the curve of intersection of the cylinder x2 + (y - 1)2 = 1 with the plane y =…

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Q: Assume that the units of time are seconds, and the units of displacement are centimeters. The first…

A: A period is the amount of time taken to complete vibration cycle to pass over a specific place. The…

Q: Fー1 e-5id 1+(A+6)² S a) ebi(z-5)-|r-5| O b) None of these Oc). -6i(x+5)-|x+5| d) Je6i(2+5)-|z+히 O e)…

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Q: dx dy 2 x ex y2 + xy+y

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Q: 2. Find two linearly independent power series solutions about the ordinary point x = 0. Write out…

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Q: Select the correct answer. Which limit does not exist? 2 - 1 I + 1 OA lim O B. lim 12 - 9 I - 2 Oc…

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Q: 1. Use residues to evaluate the integrals shown below sinx a) S- dx x+4x+5 -00

A: Note:- As per our guidelines, we'll answer the first part of this problem as exactly one is not…

Q: Suppose you deposit $2,500 in a CD paying 8% interest, compounded every other month. How much will…

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Q: Маx 2A + 3B s.t. 5A + 5B 90 Constraint 3 А, В > 0 Figure 2.22 shows a graph of the constraint…

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Q: ral of the d D- 1)y is

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Q: Answer the following True or False questions and give a short justification/counter-example: a)…

A: answer the following true or false questions (A) every system of differential equation y'=Ay has a…

Q: Example 2.8.3 Let G = SO(2), the group of all 2 x 2 real matrices which are orthogonal, that is,…

A: By the given map, we have unique matrix for every point on unit circle..and hence the group G is in…

Q: The maximum area (in square unit) of a rectangle whose vertices tis on the ellipse x2 + 2y2 = 1 is

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Q: Edgar borrowed a total of $10,000 from three sources: the bank, his mom, and a close friend. After…

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Q: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.…

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Q: Select the correct answer. -2 3 01 3x2 -4 2 6 6 -5 6. What is 4 6 § 4 12 12 -10 12] O A. -12 18 0 В.…

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Q: Using Frobenius' method, find a solution to 2²y" – 2xy + (x² + 2)y = 0.

A: The given problem is to solve the given differential equation using the forbenius method. Given…

Q: Find the Taylor's Series Rthe funcfiouu PC2)=e 24

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Q: Drag each tile to the correct box. The Big Bills are a charitable organization that conducts seven…

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Q: The general solution of xy" + 6xy'+9y = 0 for x + 0 is y = a) None of these O b) z-3 (c1 + c2 In…

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Q: 1. Let T1: P2 tions given by the formulas P3 and T2: P→ P3 be the linear transforma- T (p(x)) =…

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Q: Let a and b be two positive real numbers. A region N in (x, y, z) space is given by n= {(x,y, 2) |x²…

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Q: pus at x = 0 where for x +0

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Q: 1. Find the radius of convergence of (-1)" n! (3x + 1)" n=1

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Q: 5. Given the initial value problem dy dt t(y + 1), y(0) = 2 use Euler's method with at least four…

A: Euler's Method is used

Q: Which of the following sets is not a vector subspace of p? OA. W = ((x,y)x = 2y} O B. W - ((x,y)y-…

A: Subspace of a vector space

Q: let f be analytic function. on and inside a simple closed cantor except finite number of singular…

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Q: nose Laplace (28+4) at t

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