V. Given: 2. Find f'(2), if it exists. f(x) = el32-61-2, [2x - 5], √x²-9, if x < 2 if 2 < x≤ 3. if x > 3 14

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Q: probability

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Q: 4. Hamilton Paths and Trees (a) Consider the graph (i) Does the graph have a Hamilton cycle? Justify…

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Q: b) Decide if the sum converges or diverges. If it converges, find the sum.

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Q: 3. Calculate the Laplace transform L{(t+ V5)(2t³3 – V3)}.

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Q: . In the following either prove that the set W is a subspace of the vector space V or give a…

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Q: Use mathematical induction to show that 32n – 1 is divisible by 8 for all positive integers n.

A: Solution

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A: Given information: 5) x = 70 n = 100 p^N=xN=70100=0.70

Q: 11. Consider the following systems of equations. x2 + 2x3 = 30 x + 5x, + 3x3 2x1 + 3x2 + 8x, 12 (i)…

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Q: (7) Which of the following formulas represent the process of encryption in Caesar Cipher? (Choose…

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Q: Problem 1: Asking Embarrassing Questions, Politely When doing polling, for instance to figure out…

A: Given information: x=70n=100p^N=xn=70100=0.70

Q: (12) A directed graph has the following adjacency matrix: [1 0 21 |2 1 0| [0 2 1] How many edges…

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Q: please have a handwritten solution and explain the step by step process of your answer

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