Let an be the sequence given by n² NT an = 1+ n+ 1 2 Find all accumulation points of an. What can you say about the convergence of an? COS

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A: Remember the imaginary number as below

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A: We are using partial fraction to find inverse Laplace of given functions.

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A: Definition/formula:

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Q: (b) Find the maximum height of the football. (Round your answer to one decimal place.) 18.8 X ft

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Q: Q1: By using matrix inverse method. Find the value of x and y in term of z. 2X+Y-Z = 3 X-3Y+2Z=1

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Q: Find the area of a triangle PQR, where P = (2,2,2), Q = (-6, -4,-3), and R=(5,-1,6)

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Q: Let E = {0, 2, 4, 6, ...}, define f: Ex E → Z+ by the formula f(m, n) = 4m5¹, v (m, n) € E × E. (a).…

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Q: (x₁ + 2x₂ + 2x3 = -3 3. Using LU decomposition (A=LU), solve the system -3x₁ + 2x₂ + 4x3 = 1. x2 +…

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Q: 1 sets X, Y and Z, determine whether aically indicating the laws used. If it is fa )-(X-Y) = Z-X.

A: Given statement

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A: Let us solve both the equations using integrating factor.

Q: Compute the antiderivative. 1 dx f Oln(x) + C Olog(x) + C Ologa + C O In|x| + C

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Q: g(x)≤ x² -9 for all x 1) Show the at x= -3 and x= 3 that g(x) is continuous

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Q: Sets A, B, and C are subsets of the universal set U. These sets are defined as follows. U= {1, 2, 3,…

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Q: dy 4) Solve dx = y + x³ for x = 1.1, 1.2, 1.3 given y(1) = 1. dx 5) Find y(0.1) if y'=x-y² and y(0)…

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Q: (a) lim Calculate the following limits, or explain why they diverge. 2n² - 2 n→∞ n²n + 3 2x² - 2x x0…

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Q: Q1. Sketch the slope field of the following differential equation: dy x = -x²y². dx Hence show the…

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Q: For each series, determine whether it converges absolutely, con- verges conditionally, or diverges.…

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