Mathematics Homework Solutions

arithmetic sequence

How do I find the 40th term of the arithmetic sequence knowing the general term An=(Asubscript n -1)n-3? The first term in A1=9

Parabola

The parabola y= x^2+9 has two tangents which pass through the point (0,-4). One is tangent to the parabola at (a, a^2+9) and the other at (-a, a^2+9) where a is a certain positive number. The question: a=?

Basic Algebraic Coding Theory

How do I figure out the addition and multiplication tables for: Z mod 2 [x] / (x^2) ?

Coding Theory

How do I compute the addition and multiplication tables for: Z mod 2 [x] / (1+x^2)? z mod 2 [x] = 1 z mod 2 [x] = 0 z mod 2 [x] = 1+x z mod 2 [x] = 1+ x + x^2 I think that 1+ x^2 = 0 so x^2 = -1. Thats as far as I got.

Short Programming Assignment

I need help with writing a program that will generate message words (in 0's and 1's) and then compute the code words (in 0's and 1's). Ex: Generating Matrix for the (3,4) Parity check code: 100 1 010 1 001 1 derived from using the identity matrix and then solving for x,y,z in the 4th column Message words Code w ...continues

A QUICK SETTING GROUT

A quick setting grout made from a mixture of cement/sandwater and an additive is needed for a tunnelling project Two trial mixes have been made with the following combinations of grout and additive. 5 litres of sand/cement/water + 1 litre of additive =6 liter of grout mass=12.487kg 5 liters of sand/cement/water =1.5lit ...continues

Coding Theory

Coding Theory Program -------------------------------------------------------------------------------- I have attached the specifications --> Program2.doc. I need it written in Java. I have also attached --> Program 2 Defined This will help with understanding the program. The words must be generated using matrix mult ...continues

Abstract Algebra (4 year College)

I had to prove 4 theorems two of them dealt with Abelian elements, automorphism of R2 under compontentwise addition. I want to keep my original work in tack as possble BUT I would like the follwing corrections made based on the following comments. THESE ARE THE ISSUES THAT NEED TO BE ADDRESSED The paper needs to provide ...continues

Primitive polynomials

1) How do I show x+1 is primitive? 2) How do I prove x^4+x^3+1 is an irreducible polynomial of degree 4 over Z mod?

Boolean algebra

(See attached file for full problem description) --- For question #1, just use the example to show how to solve a problem like it is. 1. Gates Implement the 1 bit full adder using only: 1. 2 input NAND gates 2. 2 input NOR gates. 2. Boolean Functions Using the laws of Boolean algebra, minimize the number of opera ...continues

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