Welcome to lil-help. A Q&A site for homework help.

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

21.2 billion brain cells

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?

19.9 billion brain cells

Filename:
mth 104 cma 03-2.pdf
1
Words:
NA

Surround your text in *italics* or **bold**, to write a math equation use, for example, $x^2+2x+1=0$ or $$\beta^2-1=0$$
Use $$\LaTeX$$ to type formulas and markdown to format text. See example.