Let a= (123)(145) in S6. Write a102 in disjoint cycle form. O (32541) O (16)(24) O None of these (14523)

Q: 4063 Find (with proof) the residue of 3200s when dividing it by 93.

A: Euler's phi function is very significant in calculating the residue. As Fermat's little theorem is…

Q: Suppose that {an} is defined recursively by: an = (an-1)² - 1 and that ao = 2. Find a2 and az.

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Q: Computer (73112). (Hint: you do not need to multiply out 7³11².)

A: We have to compute .We know thati) is the number of positive divisors of n .

Q: Show that the k-cycle (1 2 · · · k) cannot be written as a product of fewer than k − 1…

A: We have to prove that the k-cycle (12…k) cannot be written as a product of fewer than k−1…

Q: 61 Let A = Compute 612 - A and (612)A. 4 2

A: Step 1: Step 2: Step 3: Step 4:

Q: how do you write (14)(27)(523)(34)(1472) as a product of disjoint cycles

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Q: P = Evaluate [k= П/16 (52k +1) 52117 -1

A: Formula: (1)                (2)                 (3)     Given that     --------------- (1)…

Q: Match each of the following integers with its equivalent representation in a different base. (123) g…

A: Number system are of the type  Binary decimal with two bits 0 or 1. The decimal number is from 0 to…

Q: Find the coefficient of a?bi in the expansion of (2a - bj)^5

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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: let n be an integer solution to the equation n2+an-b=0 (n>7) if the representation of a in base n is…

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Q: 1.5 Inx - In(x2 - 1) + 2ln(x + 3)

A: Logarithm simplification

Q: Find [7]^-1 in Z55 under multiplication.

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Q: Does the following graph have an Euler path from u to w? If the graph has an Euler path, choose the…

A: A path that travels through every edge of a connected graph once and only once and starts and ends…

Q: Determine whether each integer has multiplicative inverse modulo 1001. If it does, find the inverse.…

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Q: If x(t) and y(t) are solutions to the same homogeneous linear differential equation, it can be shown…

A: The functions are  and the interval .The objective is to check whether the Wronskian of on…

Q: Find the Order and inverse of 11 in Z25

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