Compute the Fourier transform of the following

Q: John and Rosa want to retire in 10 years and can save $170 every 3 months. They plan to deposit the…

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Q: Question = Find the interval of convergence for the power series representing ƒ' if f(x) = interval…

A: The given problem is to find the interval of convergence of the power series representing the first…

Q: = Apply the Midpoint and Trapezoid Rules to the following integral. Make a table showing the…

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Q: Prove that pork = pur in O₂ if and only if 0 w = 2m for some m€ Z and k = 1 (mod 2)

A: To prove that ρθrk=ρωrl in Ο2 if and only if θ-ω=2πm for some m∈ℤ  and k¯≡ l¯mod 2.

Q: Take the Laplace transform of the following initial value problem and solve for Y(s) = L{y(t)}: y" +…

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Q: A 5000-seat theater has tickets for sale at $27 and $40. How many tickets should be sold at each…

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Q: A circular swimming pool has a diameter of 10 m, the sides are 4 m high, and the depth of the water…

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Q: 4. n–1 M Combine into a single sum Σi + Σ3 i=0 i=1 - n+1 25 i=2 = Σ Μ i=1

A: Combine into a single sum: ∑i2i=0n-1+∑3ii=1n-∑5i=2n+1=∑i=1

Q: Find (f◦g)(x) and (g◦f)(x) and the domain of each. f(x) = x + 2, g(x) = 4x2 - 7x - 2 (f * g)(x) =

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Q: Problem 4 Find the Fourier coefficients a, and ak of the following waveform X(t)=2t 0<t<1 -2 -1 x(1)…

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Q: Find the 5th term of the geometric sequence when a1=6,r=4

A: Given that, a1 = 6 r = 4 The 5th term of the geometric sequence is determined as shown below.

Q: The formula for depreciation can be written as a geometric sequence. The formula for the value of a…

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Q: For the function f(x)= 6x-2​, construct and simplify the difference quotient f(x+h)-f(x)/h. The…

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Q: True/False: If the statement is false, justify why it is false. (a) If a matrix is invertible, then…

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Q: Let n, m € Z. If n+m is odd, then n and m are not both odd.

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Q: 2. We say that an element z E F is a square root of a E F whenever 2² = a, we denote the square root…

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Q: The sequence (x"), 0 < x < 1, is not monotone.

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Q: Determine the pivot element in the simplex tableau. (If there is more than one correct pivot…

A: Given,

Q: What are the benefits of a place-value system in numeration?

A: place-value systems make it easier for people to do arithmetic they also help computers perform…

Q: Sketch a polynomial graph by matching the behavior to the given characteristics. Leading Coefficient…

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Q: 5. Definition 4: Matrix WE Rnxn is said to be normal if WTW = WWT. (a) Prove that if A is a…

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Q: Question 4 Compute the following 9P4 Question 5 In how many ways can the letters of the word…

A: nPr = n!/(n-r)!   For finding no of ways, check number of possible options for a particular position…

Q: Of the statements below, three are false and one is true. Find two of the false statements and give…

A: We will find counterexamples for the statements which are false.

Q: A company produces very unusual CD's for which the variable cost is $ 15 per CD and the fixed costs…

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Q: 4. Prove that if G and G' are isomorphic groups, then Aut(G) and Aut (G') are also isomorphic.

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Q: 34 5 10 From the 5 points A, B, C, D, and E on the number line above, 3 different points are to be…

A: The answers for each of the questions are given in the next steps.

Q: x²=-2x+4y y = -4x-2y wh x(0)=2, y(0) = 8 At=01 9+0 2100 JFF Use the Evien Method with a time step of…

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Q: Need d,c

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Q: Solve the system by back substitution. -4x-8y-2z - 6w = -5 -5y-30z-10w = -40 - 5z-5w = - 10 - 5w=…

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Q: t²y' + 2ty - y³ = 0

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Q: Write the system of equations associated with the augmented matrix. 4-36 4 2 2-6 4 4 4 3 6

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Q: Q# 4 Using CAST and Diagram V below, please do the following: a) Label each quadrant with the…

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Q: Find s12  for the series 2 + (-4) + 8 + (-16) + …

A: The given series is                                2+(-4)+8+(-16)+···

Q: Let V be an F-vector space and A, B, C are subspaces of V. (a) Show that the equation An (B+C) =…

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Q: (1 point) Check by differentiation that y = 3 cos 2t + 3 sin 2t is a solution to y" + 4y = 0 by…

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Q: 2) Find what conditions must be placed on b, b, and b¸ in order for the 1' 2' following linear…

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Q: (a) For the parts (i)-(ii), let A, B E Rnxn be such that A and B commute. Furthermore, let p(x),…

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Q: B) Evaluate the following limit or show that it does not exist: 7xy lim (x,y)→(0,0) 3x² + 5y²

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Q: Use the Laplace transform to solve the given initial-value problem. y' + y = 8(t = 1), y(0) = 5 y(t)…

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Q: For each of the following two LP models, respond to the following questions using graphic tools and…

A: (1) The constrain which are binding the solution is  3x+4y≤242x+y≤10x≥1y≤5y≥0 (2) The redundant…

Q: 1) Write down the linear system of equations for the coefficients of a quadratic polynomial f(x) =…

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Q: A business must raise $90,000 in 7 years. What should be the size of the owners' quarterly payment…

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Q: Determine if the following sequence is monotonic and/or bounded. {√√n=² ²n + 1² n=1

A: Sequence, monotonic and bounded

Q: sider the discrete-time LTI system -8y[n] + 2y[n 1] + y[n − 2] = −2x[n] + 3x[n − 1]. Find the…

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Q: Compute the inverse of f(x) = x³ + 1. f-¹(x) = ³√x-1 Check your answer by showing that ff¯¹(x)) = 3…

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Q: Explain why S is not a basis for P2.S = {1, 2x, −4 + x2, 5x}

A: Explain why S is not a basis for P2.S = {1, 2x, −4 + x2, 5x}

Q: 12. If X₁, X₂,...,X, are independent variables such that E[X]=μ and Var (X)=0², i=1,2,..., n. Define…

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Q: or a large company and ask each whether they favor aple. 6 favored the new policy, find an estimate…

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Q: How many three-letter words can be made using the letters {a, b, c, d, e} if no repetitions are…

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Q: The U-Drive Rent-A-Truck company plans to spend $8 million on 280 new vehicles. Each commercial van…

A: Let x be number of commercial vans y be number of small trucks z be number of large trucks Now,…