(a) Find the interval of convergence of the power series (b) Find a simple expression for the sum of the series in (a).

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A: Given D = {1,2,3} = C.We have to define function f: D → C with the following properties or assert…

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Q: 4.-Use the binomial theorem to find the first four terms of development 1 (4 + x)2

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A: As asked we shall solve only part d.

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Q: Decide on the function is uniformly continuous on the interval (0,∞).

A: Decide on the function is uniformly continuous on the interval .

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Q: (a) Prove that Σ³ = n²(n+1) ². j=1 (b) Evaluate fr³ de directly from the definition, without using…

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Q: Find the Laplace transform of 3t 2 cos 7t + e

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Q: I need help with d ii)

A: d)(ii)f(z)=z+(3−i)2iz+2​Explanation:

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A: ParticularsABCInitial Cost100001500020000PV of Cashflows125001762121043Benefit250026201043Benefit is…

Q: Suppose that Var(X) = 742.23, Var(Y) = 8890.5, and Cov(X,Y) = 2191.72. What is Var(.51X + .49Y)?

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Q: Prove that every odd prime except 5 divides some number of the form 111...11 k digits, all ones

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Q: (b) Let g be a bounded function on [0, 1] and assume that the restriction of g to the interval [1/n,…

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Q: box. The dimensions of a closed rectangular box are measured as 90 centimeters, 50 centimeters, and…

A: Given that :The dimensions of a closed rectangular box are measured as 90 centimeters, 50…

Q: Sally works at a hotel and makes a $15 per hour. If she works 6 hours of overtime in a week, how…

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Q: Let A = 16 -28 0 -28 53 10 0 10 29 a) Prove that A is a positive definite matrix. b) Find the…

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Q: 14. Find the Fourier serial expansion of the function f(x)=x+1, for 0<x< π

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Q: Consider a random graph G(N, p) with e² In 2 3N 3/2 р = .In the limit N → ∞ the average degree (k)…

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Q: Suppose E(X) = 93, E(Y) = 95, a = 0.09, and b = 0.91. What is E(aX+bY)? (Please round to two decimal…

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Q: Agriculture Manufacturing Households Agriculture 0.245 0.102 0.051 Manufacturing 0.099 0.291 0.279…

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Q: 1. (a) Construct the first Taylor approximant to f: (−1,1) → R, ƒ(x) = sin¯¹ x about a = 11. (b) Use…

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Q: 1. Find the where the function is increasing, decreasing, has relative extrema, is concave up or…

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Q: du 5-x=y dx du dy Solution of Partial Differential equation By Mariable Method

A: As per our company's guidelines we are supposed to answer only first question. Kindly repost other…

Q: Consider the following LPP: maximize subject to ax1 + 1x2 -x₁ + x₂ <2 1 2 x1 + x₂ ≤ 3 1+2 X1, X2 ≥ 0

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Q: 1 1+e 1 E +3kT-E)/kT 1+e(Ec+3kT-E₁) /KT 1+e 1+e -1 - (E. +3kT-E/KT 1 -(E+3kT-E₁\/kT• e(Ec +3KT-E,…

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Q: 9-2d²u dx² || d²u dt² Solution of Partial Differential equation By Separation of Variable Method

A: We have to solve the given partial differential equation by separation of variable method.

Q: Prove that VÃZ,n,m=N(x²)m = xmn¸

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Q: ! Required information A theft-avoidance locking system has a first cost of $31,000, an AOC of…

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Q: The average value of a function f(x, y, z) over a solid region E is defined to be 1 fave (E) . f (x,…

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Q: A meat processing factory performs tasks by a series of 4 operators. Below table lists for each of…

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Q: Consider the following LPP: maximize subject to ax₁ + 1x₂ -x1+x₂ ≤2 1 2x1 + x₂ ≤ 3 X1, X20 (a) For…

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Q: Use Stokes's Theorem to cralute IJs CumF. d5 (a) F(x, y, z) = e²4 Coszî + x²2₁ + xy ₁², S = the…

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Q: Suppose the avg score on Midt1 is usually 95, and on Midt2 is 75. If your final grade is weighted…

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A: Summary:-Maximal elements: 7Minimal elements: 2 and 3Explanation:

Q: The polynomial f(x) = x³ − x−3_mod (47) has x₁ = 10 as a root. Use Hensel's Lemma to lift this root…

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Q: Exercise 2. Formulate and prove an analogue of Lemma 2.15 from the lecture notes for the interior…

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Q: Let Compute θω Əs δώ Ət -(-3,-4) -(-3,-4) = w = -5xy + 4yz - xz, x = st, y = est, z = t²

A: By chain rule, we will solve the problem.

Q: 2. As we will study in the coming weeks, the one-dimensional motion of a mass attached to a spring…

A: Part (a): General Solution without Friction[ x(t) = A\cos(wt) + B\sin(wt) \] Part (b): Particular…

Q: Do the following with the given information. S² 17 cos(x²) dx (a) Find the approximations Tg and Mg…

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