6. Find the Fourier Series of the given periodic function. if - n ≤t<0. f(t) = {_t 4, -1, if 0

Q: ) Solve by using Laplace transform the partial differential equation a² y d'y =9 y(0,t)= 0, y(2,1)=…

A: Solution:-

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Q: solve: 3 (b) uloy) = ity ² "x = 0 w(x, 3x) = sin x = 0 Wyy u(x,0) = sin x wy (x,01 = cox { (c) in R²…

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Q: Apply the formula deduce that (x) log x + [A(n) () = 2x log x + 0(x) n n≤x as x→∞o, where y is…

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Q: ) Solve by using Laplace transform the partial differential equation 0² a² y dt² =9. ox² y(0,t) = 0,…

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Q: Use Laplace transform to solve the partial differential equation: o²y_by -+xt where y(x,0) = 0,…

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A: Given system is 56-3-2952-7-3412-1-743 x1x2x3x4 = -109-28

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Q: ☐ In Exercises 11 to 14, use the greedy algorithm to find a Hamiltonian circuit starting at vertex A…

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Q: 7. (2²²) ⁰+ (2º). (2²)⁰= 2 True false 8. sin ²e + cos²e = (1)". if n>1 wwwwwww True false

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Q: sorry also why have you put 1/270 x the matric i dont see that in the formula ? how is the final…

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Q: For X and Y normed linear spaces, let {T} be a sequence in L(X, Y) such that Tn → T in L(X,Y) and…

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Q: 48) Mark, a part-time service crew at a restaurant, earned P2,375.75 in working for 53.75 hours in…

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Q: Use Laplace transform to solve the partial differential equation: d²u du ди(x,0) , t> 0, 0<x<1,…

A: Solution:-

Q: 2. Ifƒ (x, y) = log (x² + y²), then f +f, is equal to yy 1 (a) x² + y² (b) 0 y²-x² (c) (d) • (x² +…

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Q: hi thank you for your reply when you have put the matrix 135 0 -135,000,-135 0 135 why are the top…

A: Reason is in the image below.

Q: Travel The prices for traveling between five cities in Colorado by bus are given in the table below.…

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Q: product space in R3. If not, explain why. 1) = u1v1u2v2u3v3

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Q: Learning Task 3: Read each item carefully. St.ow all secessary Jutions in soly. ing 1. Find the…

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Q: show that, 8 = 1², when € IR³ we have x 1x)=870

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Q: 2. 2y dx - x dy = 0

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Q: @ Fs [ f ² (x)] = √ √ √ # Pfco) - P² Fs {f(x)] proof: How.

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Q: Find the sum of the divisors of 120. Generalise the result for an arbitrary natural number M

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Q: B. 1. 2. 3. Find dy for the following equati dx X²+y²2-2x+3y=0 1 = 4 x² + y² x³+y³+4xy=5

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Q: Solve: y' + 4y - 17y' - 60y: = y(0) = - 4, y'(0) = - -5, y(t) = = - 72et y''(0) = - 65

A: First we will find the Auxiliary equation of given differential equation to get Complementry…

Q: Use the induction argument to prove that 1+2+ + n = n(n+1) 2 for all natural numbers n ≥ 1.

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Q: 2. If f(x, y) = log (x² + y²), then f +f, is equal to XX yy 1 (a) (b) 0 + y 2 x² - y² y²-x² (d) 2…

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Q: Learning Task 3: Read each item carefully. St.cw all secessar, Jutions in solv. ing 1. Find the…

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Q: Let f=z" + an-12¹-1 + ... + a₁ € C[z] be a polynomial of degree n ≥ 1. Which of the factorisations…

A: Solution:-

Q: Mathematics in the Modern World: Mathematics of Graphs 1. Nicole wants to tour Asia. She will start…

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Q: 2. If ƒ (x, y) = log (x² + y²), then ƒ +f, is equal to yy 1 (a) (b) 0 + y x² - y² y²-x² (c) (d) (x²…

A: Here given that                          f(x, y)=logx2+y2 Then we have to find fxx+fyy .

Q: Q2/ The region bounded by the curve y = x² and the line y = 3x, in the first quadrant is revolved…

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Q: Show that the Bernoulli number B₁ satisfies B₁ = (-1)" ( 2 + 2d²+1) Σ (mod 1) for any positive…

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Q: THE REGION BOUNDED BY y = 205x - 1 AND THE X-AXIS IN THE INTERVAL πT 317 EX2 IS REVOLVED ABOUT 2 2…

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Q: 6. dx 4x + 3y 2x+y

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