Compute the following. 6! 0! Xx

Q: Compute the following. 4! 6! ]*

A: Answer - First we need to understand what is factorial before solving this question  n!…

Q: 5. Let a = 2, az = 4, and an+2 a, = 2" for all natural number n. = 5a+1 - 6a, for all n 2 1. Use the…

A: Given information: The given values are a1=2,a2=4 and  an+2=5an+1-6an for all n≥1. To prove : an=2n…

Q: 12.16. Give an example of a prime p of each of the forms: a. 4k + 1 b. 4k + 3

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Q: Compute the following. Assume the value of n is restricted so that the expression is defined.…

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Q: Which of the following statements is (are) true for all positive integers? 1) (-) 5³ 5* 2) 9* - 1 is…

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Q: Calculate the arg z and Arg 2,where |-130 And write 2 in the form re Z = AC reie.

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Q: 25, 3, 3.75, ... sive:

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Q: 5. Prove the following identity for n 2 1: Fzn+1 = F+1+ F;

A: We need to prove that ,  F2n + 1 = F2n+1 + F2n We know that ,   Fm+n = FmFn+1 + Fm-1Fn ,  m ≥ 1 , n…

Q: Please answer A and C for this question.

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Q: (12 3 4) o (2 3 5 4 6) o (3 4 5 6) can be expressed as product of following disjoint cycles O None…

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Q: k = 4 4. Let k be the second smallest nonzero digit of your Student ID. Compute the order of (k, k)…

A: To find the order of (4,4) .

Q: Find all 6 permutations of (12)(345).

A: Find all permutations with 12 in the first pair of bracket : (12)(345) (12)(354) (12)(435) (12)(453)…

Q: (c) Find an element h of S10 such that hog (1 8 10 2 7 3 6 4), = and write it in two-line notation.…

A: (c) In one-line notation, g can be written as        g = (1  6  9  3  10  8  7)(4  5)    Then,…

Q: 6. 1. |A| = |-3 7 -1 2 -4|. Verify the expansion of A. a. About the third row b. About the first…

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Q: Q. 4. Convert the number(4215.245), to octal. Q. 5. Show that "-'C. r-1 11 2 Q. 6. Find the…

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Q: 4. Find the largest value of n such that 2"|16!.

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Q: Compute the following product. -37 5 1 3 1 -1 3 3 -4 3

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Q: A certain man observed that each night he was sleeping 15 minutes longer than he had the night…

A: In the question it is given that the man started observing his sleep pattern right after he slept…

Q: 3. cos0 17 II

A: We have to find out θ value and given is cosθ=-817

Q: Compute the following. Assume the values of the variables are restricted so that the expressions are…

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Q: Do not use a calculator in this question. integers. 4-3/6 V3+ v2 giving your answer in the form…

A: Using the FOIL method, it can be written that a+bc+d=ac+ad+bc+bd. The conjugate of x+y is x-y.

Q: 2.30 Compute the last two digits of 345. Please include steps

A: Given : 345 To Find : last two digit

Q: Indicate the smallest integer n such that (6x²+4x)³ f(x) = € 0(x¹). 2A-4x On=4 O n=2 O n=1 O n=6 O…

A: f(x) = (6x2 + 4x)3/(x4 - 4x)         = {2x(3x + 2)}3/{x(x3 - 4)}        = 8x3(3x + 2)3/{x(x3 - 4)}…

Q: (242²-121²) 242*121 O 1 O 2/3 O 11/3 O 3/2 ||

A: This question is based on formula  a2 - b2 = (a-b)*(a+b)

Q: Please answer 4.1.15 A and 4.1.15B

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Q: 6.4 Find the largest integer smaller than -3/2

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Q: Problem 1. Let M = 14 -5 −1 9] 10 Find formulas for the entries of M", where n is a positive…

A: The given problem is to find the matrix Mn for the given following matrix M. We have to find the…

Q: Ex 3.6.2 Suppose p is a prime, (a, p) = p° and (b, p) = p. Find (a + b, p*).

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Q: The number of the element(s) of order 13 in Z13 O Z13 12 None of them O 13 169 168

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Q: A 3. What does Q.E.D stand for? I have proven what needs to be shown Quickly executed definition…

A: Given that we need to choose the correct statement from the given below  That  What does Q.E.D.…

Q: 2. Derive the following binomial identity: (n + () --("-") = r

A: To derive the binomial identity; n+1rn+1=rr-1n We have to prove that the left hand side of the…

Q: (3w²v-3) (9-¹w-4v-6) 3w²v −³) (9−¹w¯4v¯6) = (Use positive expor

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Q: Compute the given product. 10 1 1 1 1 1 5 2 3 5 1 8 -1

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Q: Write the following expressions in a more compact way (i.e., using index i, j as above). 1. C11 C2x2…

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Q: 6g 10 dno8ans 2. Let k be the second smallest nonzero digit of your Student ID. List the cosets of…

A: Please find the answer in next step

Q: 1 If the N(A) consists of all multiples of x = , then the rank of A 4 is: а. 3 O b. 2 O C. 4 O d. 1…

A: It is clear that from N(A)