Mathematics G = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154

# G = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154

Price: \$15.00

Question 1

G = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176}

(G, x187)

Is a group

(H, x17)

Is a group, where H = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16}.  Which of the following options is true?

Question 2

G = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176}

(G, x187)

is a group.  What is the inverse of 121 in G?

Question 3

G = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176}

(G, x187)

is a group.  What is the identity in this group?

Question 4

G = {x, y, a, b, c, d}

(G, *) is a group under a certain binary operation *.

If x*y=a and y*x = d, then how many self-inverses does (G, *) have?

Question 5

G = {11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176}

(G, x187)

is a group.  How many self-inverse elements are there in this group?

Question 6

Use Mathcad to evaluate the following integral to 3 decimal places

Question 7

How many solutions does the following equation have in Z24

X2+7x+12=0

Question 8

Give an example of a prime number p such that 43p+9 is a square number.

Question 9

Suppose p, q and r are statements.  How many Ts are there in the last column to be filled in for the truth table for the following compound statement?

(p⇒(q∧~r))∨(p⟺q)

Question 10

Suppose n denotes a positive integer.  Consider the statement S given by

S; The number n2+n+17 is a prime number.

Statement S is false for many values of n, including 17 and 34.

What is the least value of n for which the statement S is false?

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Last Updated: Monday, 09 December 2013 01:23