1Fin a normed space X, the a bsolute convergence of everyseries al ways implies convergence of the series sho w that xXis aBanachspace. Show that na Banac hs pace an a bsolutely it series is sonvergent

Q: Find Laplace Transformation of the function; S(1)=(«* +sinKr} +r[ secKt K +t'e* -3Kt

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Q: Evaluate: 2sin(3i)cos(3i)

A: Given  2sin(3i)cos(3i) To solve we use following properties: 2sin(θ)cos(θ) = sin(2θ) sin(iθ) = isin...

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Q: Let A be a matrix of Ma (K) B be a matrix of M, (K): C be a matrix of 8x2 Mixs Ck); D be a matrix of...

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Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral L{f{t)} ...

A: Given function is f(t) = cos(t),0 ≤ t < π0,t ≥ π

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Q: Construct proofs to show that the following symbolic arguments are valid. Commas mark the breaks bet...

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Q: Use the preferential voting method to determine the winner and compare it to the single candidate vo...

A: In the preferential voting method we eliminate the candidate with the lowest first-choice votes and ...

Q: Let H= Span(u, U2,u3 and K= Span{v,,v2,V3}, where each vector is defined below. Find bases for H, K,...

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Q: 4. Use the power series method to solve y" + y = 0 near x=0.

A: Given differential equation is y''+y=0........1. We have to find the solve y''+y=0 by using power se...

Q: Approximate the sum of the series correct to within 0.00001. (-1)" n° 9 n = 1

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Q: A ra nvironmentalists declare the insect endangered and transplant the insects into a protected area...

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Q: 2. Given the graph, determine the end behaviours as indicated [3C] X-3 x -3+ y→ x 4 x4+ :2 X → -00

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Q: Math 81 HW 16 1, Confirm that the Cauchy-Schwarz inequality holds for the given vectors using the st...

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Q: Suppose that f(x, y) 2a + 4y on the domain D = {(x, y) | 1 < I< 2, x² < y < 4}. Then the double inte...

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Q: Given: 2 -2| A = |-1 1 1 1 1 1 B =| 2 1 -1 1 2 1 |-1 1 2 Find the following and show how you get you...

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Q: Find the area of the surface generated by revolving the curve y=x3/3 from x=0 to x=1 about the x-a...

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Q: Suppose x is a real number. Prove that if x 1 then there is a real number y such that y+1 = x. 4-2

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Q: 2. Is the following statement true or false? Explain your reasoning. If Si is a rectangle with area ...

A: Let us assume a rectangle in x-y plane, S1 rectangle has area 1, that is length×breadth = 1  Let us ...

Q: Water is leaking out of an inverted conical tank at a rate of 14700.0 cm3/min at the same time that ...

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Q: Use Taylor's Inequality to determine the minimum number of nonzero terms of the Maclaurin series for...

A: To find- Use Taylor's Inequality to determine the minimum number of nonzero terms of the Maclaurin s...

Q: 1 -11 B = 1254 2 46 2 10 A = -1 1 3 7 45 %3D Let obtain B A

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Q: The general solution of the given differential equation y" – 4y" + 4y' = 0 is %3D

A: The auxiliary equation is D3-4D2+4D=0 solve for D DD2-4D+4=0D=0,D2-4D+4=0D2-4D+4=0D-22=0D=2,2, D=0  ...

Q: True or False 1.There are infinitely many values of the logarithm of a complex number z if you add ...

A: We have to tell whether the given statements are true or false.

Q: [2 + i 0 2i Lo 3il b. Value of y 北- 1 2i 6. a. Value of x C. Value of z

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Q: Show that the equation dy + 2k possesses solutions of the form 00 -kt E C, e cos (C, x+ E,) cos (w,t...

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Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval [...

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Q: x2 49. у — 50. x - 1 х3 + 4 51. у — 52. 2.x + x? + 1 53. у 3 54. x? + 1

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Q: Suppose fis a real valued function defined on an open interval I and differentiable at every x eI. I...

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Q: " Find all values of the unknowns which satisfy the matrix equation: [i 1 01 0 2i 1 2i o 0 3il

A: To find the values of unknowns x, y and z which satisfy the matrix equation.

Q: Solve using GAUSS-JORDAN ELIMINATION MATHOD ONLY. x- 2y-3z 0 x+4y +4z = 10 3x +7y +9z=4 -w-2x-4y-6z ...

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Q: A complete list of the regular singular points for the differential equation æ (x – 1)² (x + 2)² (x ...

A: We have given differential equation ,  xx-12 x+22x-24y'' -(x-1)(x-2)3y' + xx-2y = 0 Compare with , p...

Q: Consider the following two ordered bases of R°: {{1,1, – 1), (1, 2, –1), (–1,1,0)}, {(1,1, – 1), (1,...

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Q: -aIa+Ga)Iy -tja) Is =0 --- ーユ2 + Iイ=o eq'n I eqin 2 -2Iz+ Is t Iq t I5 =o--- eg'n s J,-212 = 6 I,- I...

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Q: . f(x) = 2* DA. O(x²) DB. Ω(x) Dc. O(x²) f(x) = [x][x] (floor of x times ceiling of x) DA. O(x²) DB....

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Q: nd Solve:- Qz: Chassify - 3x dy +(3X+リ』= e

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Q: Suppose that f(x, y) = yVr +1 on the domain D = {(x, y) | 0 < y < ¤ < 4}. Then the double integral o...

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Q: Let I'(V, E) be a graph. For v E V and e E E, prove the following statements: 1-O(T – {v}) = O(r) – ...

A: Given that ΓV,E is a graph. Let v∈V and e∈E. We know that the order of a graph is equal to the numbe...

Q: 3s – 5 E* [(s -5)(s + 2)2]

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Q: Qi x dy

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Q: Find F(s) for f(t) = sin? 4t

A: Solution

Q: Solve the following linear programming model graphically: minimize Z = 5x + x, subject to 3x + 4x, =...

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Q: 18. There is a set X for which Ne X and NsX.

A: As N is set of natural numbers , so  for N to be subset of X and N belongs to X , we can consider X ...

Q: (a) Consider an optimization problem How are the augmented matrices for a minimization and dual maxi...

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Q: 1. Given the following complex numbers: z1 = 2 – j, z2 = -3+ j4, z3 = -5 – j6, z4 = 2 + j3 Determine...

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Q: .2 49. у — х — 1

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Q: roblem 7. Let G be an Abelian group. The torsion subgroup T of G is the set T = {g €G: ord(g) is fin...

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Q: Put + ++ 3 17 + ...+ in 512 2 4 8

A: Given series is 12 + 34 + 58 + ... + 17512

Q: 1. Solve the maximization problem using the simplex method: S + 2r subject to: Gr+ 12 < 45 HAximixe:...

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Q: z2+ 25 (b) lim Z 5i z-5i

A: