Calculate the lim sup and lin inf of the following: √1+n² 2n-5 1. Xn 2. Xn where yn is bounded 3. Xxnn(1 + (−1)") + n−¹((−1)" − 1) Yn 2

Q: 2 5. f(t) = e-²t (t³ + 1)²

A: Some of the formulas of Laplace transformation . Ltn=n!sn+1Leat=1s-aLeatf(t)=F(s-a), L[f(t)]=F(s)

Q: QUESTION 5. Use the fourth order Runge-Kutta method with h = 0.25 to approximate (to 6 decimal…

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Q: 7. Find the volume of the solid bounded by the surfaces z = x² + y² and z = 2-√√√x² + y².

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 97)Fin Q7) Find the convergence interval and radius of the series : Eno

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Q: Identify the rule of inference or the fallacy in each of the following logical arguments. If p is a…

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A: Given integral is ∫02 πy2 dx Here, y = 1+ x28 So, integral is ∫02 π1+ x282 dx . Take fx = π 1+ x282…

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Q: solution to the dif 4t-1/3e^3t........the

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Q: The personnel manager for a construction company keeps track of the total number of labor hours…

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Q: Express the complex number -2i in the form R(cos(0) + i sin(0)) = Re where R> 0 and 0 ≤ 0 ≤ 2. NOTE:…

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Q: Consider the initial value problem ÿ' = [ 2 Suppose we know that α = 2 B= = 4 2t² g(t) = 4t -1 ÿ +…

A: Given the initial value problem  y→'=04t2t2-1y→+g→t, y→1=0-2

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Q: Directions: Translate each argument into symbolic form (using the suggested letters) and determine…

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Q: QUESTION 12 1 POINT A particle moving along the x-axis has position function p(t) = -2t3+2t2. Find…

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Q: Obtain the Lagrange interpolating polynomial using all the data points below: 0.5 1.0 1.5 2.0 2.5…

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Q: Are the following statements true or false? True 1. Three nonzero vectors that lie in a plane in R³…

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Q: Problem 3 a) Let X be a topological space. Let q: X → A be a quotient map and let p : A → B be a…

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Q: Find the equation of a quadwith roots 1+ square root of 5 and 1- square root of 5 which passes…

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Q: Q5. Sketch, evaluate, and reverse the integral: lí dy dx,

A: 5. Given integral is ∫02∫1ex dy dx   To sketch, evaluate and reverse the integral.

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Q: H(s) = 13s² + 46s + 133 (s + 1)² (s² + 6s +25)

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Q: A solid in the first octant is bounded by the two spheres x^2 + y^2 + z^2 = 1 and x^2 + y^2 + z^2 =…

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Q: I Solve using two methods the volume generated if the area described is revolved about the indicated…

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Q: Select the following asymptotic estimates that are valid. log(n") n² = O(log(n!)) √n³ + 2n³ + 1 =…

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Q: 1 = (3, -2, f(t)= -0.1+ ≤ t ≤ 0.1- 0.1+ ≤ t ≤ 0.4

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Q: Given the following set of linear equations: X₁ +x2 +5x3 = -21.5 -3x₁ + 6x2 +2x3 = -61.5 10x1 +2x2…

A: Given the set of linear equations  x1+x2+5x3=-21.5-3x1+6x2+2x3=-61.510x1+2x2-x3=27

Q: I For the area bounded by the given curves: Area under the first arch of the curve y = sinx Fund: a)…

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Q: Let x = 0.9 = 0.999...; Prove x = 1. (Hint: Can you write x as a geometric series ,  arn-1?)

A: The given sequence is x=0.9=0.99=0.999=...1. To Prove: x=1.

Q: Question 1 two variables. Given the function of f(x, y) = -9x² - 2xy - 8y² - 3 a) Find all critical…

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Q: 60. Find the slope of the line whose parametric equations are "x=2 + t" and "y=2t" 6 prive bruptl a.…

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Q: Evaluate the integral by making an appropriate change of variables. [[ ⁹ COS( 7 (Y + X)) 9 Need…

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Q: Find a direction in the xy-plane in which f(x, y) = e¹-xy has zero change at the point P(1.0. e).

A: We know directional derivative formula Du→fa, b, c=∇fa, b, c.u^ Lets say u→=cosθ, sinθ be the…