Find the Fourier Transform of f(s) = e-ax= a >0

Q: Problem 2. Prove a. |xy| ≤ x + lyl. b. ||x|-|yl|≤|x - yl.

A:

Q: [a, −1<x<0, b, 0<x<1. Show that g(x)= a +(b-a)ƒ(x). The function g(x)= (i)

A: To show that g(x)=a+(b−a)⋅f(x), it can define f(x) as follows:f(x)={0if −1&lt;x&lt;0x1if…

Q: Consider the initial value problem y' = 20 — y, y(0) = 5. Find the solution AND find the limit of…

A:

Q: Show that the function log |x| is harmonic in R2 \ {0}

A:

Q: Show that the following explicit solutions satisfy the ODE. Then, determine the unique solution to…

A: We have to show that the following solutions satisfy the ODE. Also we have to determine the unique…

Q: Let U = N, A = {1, 3, 5}, B = {x : x² - 6x + 5 = 0}, and D = {x:x>5}. Find d. A-D e. A x B f. BxB g.…

A:

Q: Consider the curve a(t) = (e¹,e², [2t). Calculate a (t), |la (t) ||, and reparametrize a by…

A:

Q: Propositional Practice Note 1 In parts (a)-(b), convert the English sentences into propositional…

A: Given that: “ divides ”: " is a prime number."

Q: 1. The cross section of a scale model of a hill is modelled by the following graph. }^ 10 8 6 4 2 0…

A: The objective of the question is to find the cross-sectional area of a scale model of a hill using…

Q: Solve the initial value problem (4y - cosy). dy dx - 3x² = 0, - y(0) = 0

A: Given that the differential equation is                              To find the solution of the…

Q: 6. Consider x' = [9/5-512x. (a) Express the general solution of the given system of equations in…

A:

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

A: We know,        tan = Perpendicular/BaseSo, x = 5 tan      =&gt; tan = x/5 = Perpendicular/BaseThis…

Q: The force of interest at time t is given by: 0 st < 10 10 ≤ t < 12 t≥ 12 Determine expressions for…

A:

Q: Demand for specific a spare part is (20090) boxes per month. The holding cost is 25% per year. Each…

A:

Q: A tank on the wing of a jet aircraft is formed by revolving the region bounded by the graph of the…

A:

Q: If Y = X(XTX)-¹XT where X is a square matrix and (XTX)¹ exists, then: Statement I: Y is a square…

A: Statement I :Suppose  is a    matrix.Here,                        ( since )               (By…

Q: i) State the equations of the horizontal asymptotes of the functions below. ii) Verify the end…

A: To find the horizontal asymptote and check the end behavior.

Q: Use the Gram-Schmidt process to produce an orthogonal basis for the column space of matrix A. An…

A: Given matrix A

Q: 2. A company's profits and losses during a 15-year period are shown in the Table. a. If x represents…

A: a) From the given data, the polynomial equation will represent a cubic function which crosses the…

Q: Section 6: Compute the following indefinite integrals. (2) f(10-2e³ )dx

A:

Q: Like we did for the linear model, we will start building from the recursive equation. Fill in the…

A: The given pattern is .The aim is to complete the pattern for  and find the formula for  and also…

Q: Does the formula ду Ət əx ду 4x² represent an ordinary differential equation or a partial…

A:

Q: Let T: R³ → R³ be the linear transformation with eigenvalues X₁ = 3, A₂= -1, A3 = 2 and…

A:

Q: If v + w = and v E ST compute and draw the vectors and w.

A:

Q: (a) Consider the quadratic form Q(x1, x2, x3) =(x² + x²) − 3x1x2 + 2(x1X3 + X2X3) = (X1, X2, X3) A…

A:

Q: Invent a company of your own or do Internet research to identify a company you would like to do a…

A: TerraCycle is a company based in Princeton, New Jersey, that specializes in collecting and upcycling…

Q: 9. X Identify the vertical and horizontal asymptotes f (x) = a) VA: x = 4, HA: y = c) VA: x = 1 2…

A: We have to find the vertical and horizontal asymptote of .Note: According to the guidelines we are…

Q: The graphs of fand g are given. Use them to evaluate each limit, if it exists. If the limit does not…

A: Note: "Since you posted multiple subparts question, according to Bartleby Q&amp;A guidelines we have…

Q: Suppose our lake began with 1000 fish, and 10% of the fish have surviving offspring each year. Since…

A:

Q: 4- Find the volume of the region in the first octant bounded by coordinate planes x+y=1, y + 2z = 2

A:

Q: 2 [+√²-1)dx (4) »

A:

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A:

Q: Find the gradient and Laplacian of the scalar field f in two dimensions, given in the Cartesian…

A:

Q: Solve the game with the given payoff matrix. 1 -1 2 1 20 0 1 1] Optimal row player strategy X P =…

A: Payoff matrix :p =

Q: Find the point on the sphere x² + (y + 2)² + (z+ 9)² = 4 nearest to a. the xy-plane. b. the point…

A:

Q: Suppose A is the matrix for T: R³ R³ relative to the standard basis. Find the diagonal matrix A' for…

A:

Q: 3. For all sets X, Y and Z, prove the given statements by the indicated method. (15 points: 7 and 8)…

A: Let, x  (X - Z)  (Y - Z)  (X - Y)    =&gt; x  (X - Z)     . . . . . . . . . (1)        and x (Y -…

Q: The following table shows actual and projected worldwide annual sales and average selling prices of…

A: According to the given information,

Q: A driveway requires 9 1/2 truckloads of gravel. If each truck holds 4 5/8 cubic yards of gravel, how…

A: We use the principle of multiplication to answer this question

Q: Explain why there does not exist À E C such that \(2 − 3i, −6+7i) = (12 — 5i, 32 — 9i)

A:

Q: 2. Express each of the following quadratic forms as a matrix product involving a symmetric…

A:

Q: Solve the initial value problem. (+14y²x) dx + (14yx² - sec²y) dy = 0, y(1) = x The solution is…

A: The objective of the question is to solve the given initial value problem. The given equation is a…

Q: How do you write the neighborhood (7)N_(1/10)  as an interval

A: The interval form of the notation of neighborhood (a)N_(k) is (a - k, a + k) where k is very small…

Q: Directions: Find (by inspection) the expected value and standard deviation of the normal random…

A:

Q: Tim is buying pizza and salad for a company lunch. Suppose that a slice of pizza costs $4.00, and a…

A:

Q: Verification For each differential equation, verify by differen. tiation and substitution that the…

A:

Q: 1. Label the following statements as true or false correctly with a brief explanation all of the…

A: As per the guideline, I am supposed to solve only first three subparts of the given questions.(d)…

Q: Use implicit differentiation to verify whether the relation (x² – 2y²)e²xy implicit solution of the…

A:

Q: A gardener is trying to maximize profit by growing tomatoes (T) and carrots(C) with fertilizer(F).…

A:

Q: A local theatre sold 1000 seats for an upcoming play. Ticket prices for adults are $64.00 and ticket…

A: The objective of this question is to find out the number of adults and children who attended the…