There are 13 people running in a race. How many different ways can people finish first, second, and third (should be a number)? or a combination? Is this an example of a permutation

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Q: 22. Find the Laplace transform of f(t) = t² 2t - 8 2 te-2t t 6.

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Q: 1. An equation representing a function that extends from quadrant 2 to quadrant 4 is a. y = x³ b. y…

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Q: Evaluate lim 4^(n)(1-cos(theta/2^(n))) as n approaches infinity.

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Q: 2) Describe in words the following transformations to f(x) = log.x: a) y = 2log[-2(x − 1)]. b)…

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Q: f(x) = x²+5x+8 x+3 HOLE(S) VERTICAL ASYMPTOTE(S) HORIZONTAL ASYMPTOTE -10 SLANT ASYMPTOTE 8 -8 -10-…

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Q: Σ n=2 n in) In n n

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Q: 1. Substitution Suggested by the Equation du dv sin(u + v)

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Q: Using induction find: For all integers n >= 1, 1+3=5+...+(2N-1)=n2

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Q: (a) Are the matrices (b) Are the matrices (121). (²2) 52 5 (21), (²3) similar? Why or why not?…

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Q: Find the value of x3 X1 - 3x2 - 4 x3 = 1 -X1 + X₂ - 3X3 = 14 X2 - 3x3 = 5 Select one: O a. -1.923 O…

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Q: Question 1: What are the directional derivatives of the following functions along the given…

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Q: 1.) f(x)=x²-4 HOLE(S) VERTICAL HORIZONTAL ASYMPTOTE(S) ASYMPTOTE -10 -5 SLANT ASYMPTOTE…

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Q: How many 5-card hands can be chosen from a deck of cards?

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Q: 3) Consider the weighted voting system [Q: 7,5,3,1,1] a. What is the smallest value Q can take? b.…

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Q: (6) For the nonhomogeneous equation (**) x²y" - 3xy' + 4y = x² a solutions to the homogeneous part…

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Q: Compute the following integrals given that  ∫∞-∞ |f(x)|2dx =  ∫inf-inf|f^(s)|2ds: I)…

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Q: + (sint)j +t²k for 0≤t≤3 r(t)=(cost)i F(t)=(Int)i + (21)j +1²k for 1st ≤4

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Q: 3. Determine whether these series converge absolutely, conditionally, or not at all. Explain. a)…

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