B. FOURIER SERIES OF PERIODIC FUNCTIONS 3. Interval – 1

Q: t2, 0 2

A: We have to find the Laplace transform of the given function.

Q: Hi, I have a question that I can't type out because of special characters. I uploaded it as an…

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Q: Given the bases B = { f1= sin x, f2= cos x } and B' = { g1= 2sinx+cosx, g2 = 3 cos x } for a…

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Q: 3. Suppose you have reason to believe that you can predict the value of some random variable Y from…

A: Solution:(a) Using the model                                 Y^ = a+bXwe can minimize the quantity,…

Q: Evaluate each Laplace transform. Write vour answer as a function of s. (c) L (t – T)* cos 37 dr

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Q: For each positive number n, let P(n)be the formula 1 1 (1+;)(1+ (1+– = n + 1. .. (a) Write P(1). Is…

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Q: 5- The Center of aringR dented by cent CR)is the set Cent CR) - [CERIC X= X-C,V XER? prove that Cent…

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Q: Q4)(a) Find the maximum eigen value for the system A = with initial vector x' (0) = (0.0299 1)

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Q: (B) Let G be a set of all real numbers except , Define on G by a * b = la|b, where Ja| is the…

A: Solution

Q: If event X cannot occur unless event Y occurs first then: a) Y is necessary for X b) X is necessary…

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Q: To Prove arng Ris Commuhalive iff that (atb= a?+2abt be i WarbeR VarbER

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Q: Solve 4 - 2, y(0) = - 2 - 17 - 2 e (cos (5t) – i sin(5t)) ×| -3-5i -3+5 - 2 .2745098e*(cos(5t) + i…

A: To solve the below system of first order linear differential equation. x'y'=42−17−2xy, x0=−2, y0=−2

Q: Let X = {x € Z+ | 15 < 4.x < 22} and Y = Define a relation R from X to Y as follows. Given any (x,…

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Q: can you provide a step-by-step explanation on each process

A: As solution seems bit complicated for you .so I am trying to simplify it as much as possible  We…

Q: 2. Show that p q is congruent to (p - 4)A .

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Q: O Detemine all ideals of (Z12, te' ie)

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Q: Let n >1 and let D be an alternating (n- 1)-lincar functic matrices over K. For each j, 1 sisn, the…

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Q: Given the equation y" – y' - 6y = 0, y(0) = = 1, y'(0) = 2, Y(s) is: s-1 s+3 d. (s-3)(s+2) a.…

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Q: (B) Explain the relationship between each of th. a) Field and integral domain. b)

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Q: Q4: prove or disprove each of the following a) Every group has one generator. b) Every group of…

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Q: 7. Determine which of the following functions are differentiable at all the z-plane or some region…

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Q: -a (1) Let a, b, t E R, and a + b # 0. A = a b What is the expression of e4t? What are the…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: O we N. P.M. to estimate the root of -X for on initial guess of Xo

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Q: 8. Compute for the molarity of a solution containing 100.35grams of sodium hydroxide dissolved in…

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Q: Q22 Find the Dual for the primal problem? P: Max yl + y2 Subject to: y1 + 2 y2 s 6 y1 - y2 s3 у1,…

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Q: 6.14 Table 6.1 (Weisberg 1985, Faithful Geyser in Yellows variables arex=duration c Can x be used to…

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Q: z + 2ī +3 – i = 0 1-i2 z – 2z = 1+i7

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Q: Use the main theorem on primitive roots to show 12 must be a primitive root mod 25 (don't take…

A: We first state the theorem (Theorem 10.6 in Apostols Analytic Number Theory) and then use the…

Q: 8. Solve the triangle. a-19 b-21 B- c-32 Select the correct choice below and, if necessary, fill in…

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Q: a) n(A) =    b) n(A∩B) =  c) n( B' ∩ C' ) =

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Q: A small software corporation borrowed $380,000 to expand its software line. The corporation borrowed…

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Q: x+x+メナ] 3.

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Q: Write a second degree equation matrix and prove that it is in vector space?

A: To show: An example of a second-degree equation matrix which is in vector space.

Q: f'(0) = 0.08248 for h = 1 f'(0) - 0.91751 for h = 0.5 By using Richardson's extrapolation on the…

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Q: (B) Let I be a maximal proper ideal of commutative ring with identity R. Prove that R/I is a field.

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Q: ) Consider The system <-3 Find a fundamental matrix for thisgs ten ) Find the solutien of the syetem…

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Q: 1. 2x – 5x+ 2 = 0 is an algebraic equation. a. Find the value of x+: b. Find the value of x* + c.…

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Q: Q1: Define each of the following b) Normal group c) Nilpotent element d) Prime ideal e)Field.

A: To Define: (i) Normal subgroup( this definition is for subgroups of a group). (ii) Nilpotent…

Q: = Show that L[f(t); p] i e

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Q: 1. A bike has wheels with radius 1.5 feet and a front sprocket with 36 teeth. a) If the rear…

A: We need to use sprocket ratio to find speed of bike  Note : according to guidelines maximum 1…

Q: Determine the value of k such tha the function below has a horizontal tangent at x = 1/2 f (x) = 4x2…

A: We know that the equation of tangent line to the curve f(x) at the point x=a is…

Q: In Problems 25-28 use (12) to verify that the indicated function is a solution of the given…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Do we not get the a-value by dividing the sum of the max and min by 2? I'm a bit lost

A: Solution

Q: (b) (x+y) dx + (3x + 3y – 4) dy = 0

A: As per the policy of bartleby the provisions is to solve only one question at a time

Q: A subspace of a completely regular space is completely regular.

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Q: Problem 1.58 Check the divergence theorem for the function v = r? sin© î + 4r² cos e ê + r² tan 0 @,…

A: (1) Solution:- Using the volume of icecream cone shown in figure

Q: Player fosses a fáy eóson

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Q: I. Problem Solvinga 1. Given the function, find the Fourier Series Representation. f(t)

A: from graph f(x)=-π-x,x∈[-π,0) π-x,x∈(0,π] Fourier series of f(x) is given as f(x)=a02+∑n=1∞an…

Q: 5) The first, fifth, and thirteenth terms of an arithmetic sequence, where d + 0, are the first 3…

A: We have to find the common difference and common ratio

Q: Q4) Solve the boundary value problem y 3y' + 2y 0 with y'(1) = 1, y(3) = 2e* – e² h = 0.5

A: We have to solve the boundary-value problem  y''-3y'+2y=0 with y'(1)=1, y(3)=2e4 - e2