Science & Mathematics - 3 December 2006

2006-12-03 05:52:39 · 25 answers · asked by friendly 2 in Engineering

any form of help is appreciated!
note: i dont know how to make matrices on computer so each of these is a 2 by 2 matrix...just in one set of brackets. numbers before comma are top row, after comma are bottom row

1. Consider matrix M= [2 0 , 0 2] calculate M^n for n= 2, 3, 4, 5, 10, 20, 50. Describe in workds any pattern observed. use pattern to find general expression for matrix M^n in terms of n

2. Consider matrices P=[3 1, 1 3] and S= [4 2, 2 4]
P^2=[3 1, 1 3]^2 =[10 6, 6 10] = 2[5 3, 3 5] ; S^2= same type of thing as P
Calculate P^n and S^n for other values of n and describe any observed patterns

3. Consider [k+1 k-1, k-1 k+1]
steps 1 and 2 contain examples of these matrices for k=1, 2, and 3. consider other values of k and describe any patterns you observe. generalize these results in terms of k and n

4. use technology to investigate what happens when further values of k & n. state scope of limitations of k and n

5.explain why your results hold true in general

2006-12-03 05:52:36 · 2 answers · asked by lovedogs 2 in Mathematics

2006-12-03 05:51:28 · 11 answers · asked by i_need_a_username99 1 in Mathematics

2006-12-03 05:51:23 · 3 answers · asked by Eureka! 6 in Chemistry

in geographical terms, as im a gcse student x

2006-12-03 05:51:08 · 4 answers · asked by no 1 in Mathematics

I know your suppost to count the longest chain of C, but what about the O in the middle; does that disrupt the longest chain? Help!!

2006-12-03 05:50:41 · 1 answers · asked by *AH AH* 1 in Chemistry

The question is in the title :D

2006-12-03 05:48:41 · 5 answers · asked by Anonymous in Biology

Say for example I had y' = 15-3y
How would I solve that explicitly?

2006-12-03 05:46:18 · 4 answers · asked by Samara 2 in Mathematics

how do you work this out using sythetic division? I worked it out on my own but I am not sure if I got the right answer, or set it up right.

x^3-x^2+3x= -2/x-1?

2006-12-03 05:46:06 · 5 answers · asked by Anonymous in Mathematics

2006-12-03 05:45:02 · 10 answers · asked by i_need_a_username99 1 in Mathematics

2006-12-03 05:44:57 · 2 answers · asked by togens_081885 1 in Engineering

2006-12-03 05:44:26 · 5 answers · asked by russelthurmond 2 in Chemistry

i love snow

2006-12-03 05:43:46 · 10 answers · asked by aeisha s 2 in Weather

do cells have cells inside them?

2006-12-03 05:42:56 · 10 answers · asked by brunelscooby 4 in Biology

Myticism, Math Clubs, Mensa Organization, Off-the-beaten-path churchs, study groups, book readings...... Please let me have any ideas...out of the ordinary is what I'm looking for. Thanks!

2006-12-03 05:42:46 · 1 answers · asked by Linda C 2 in Mathematics

a. log5(x)=4
b. log10(0.1)=x

2006-12-03 05:42:01 · 1 answers · asked by Katy J 1 in Mathematics

mmk i have to make a lil dichotomous key for biology.. with beetles. Its an EC assignment and i have no idea what im doing. Could anyone possible help out? All i have is a picture of the beetles i have to make the key with. I scanned it from the book and here are the beetles:

http://i102.photobucket.com/albums/m112/clanstuff/beeetles.jpg

Doesnt need to be long unless thats what you want, and no big words that i , a 14 yr old, wouldnt say lol. Like the first branch off could be round, or oval or something. Im just confused on what to do and how to divide characteristics and get all the beetles in there.

2006-12-03 05:41:59 · 1 answers · asked by kelseycantsmile 2 in Biology

Or just fly by it?

2006-12-03 05:40:50 · 12 answers · asked by Jose 1 in Astronomy & Space

I am in the process of doing a project for a science fair exhabition and I'm interested in finding out as part of my project how I might be able the make a simple bar-magnet levitate through a series of magnetically charged coils (electromagnetic of course). Basically I'm trying to find out info about the circutes I might need and also the find out about the meterials I might need. I would be grateful if you could give me any info at all, even if you have info about URL's I might be able to go to on this subject. Thank for your help.

2006-12-03 05:40:10 · 2 answers · asked by Michael R 1 in Physics

2006-12-03 05:38:04 · 5 answers · asked by i_need_a_username99 1 in Mathematics

2006-12-03 05:37:57 · 12 answers · asked by ani 1 in Mathematics

a. log5(125)
b. log49(7)
c. log9(sqrt3))

2006-12-03 05:36:43 · 3 answers · asked by Katy J 1 in Mathematics

IF IT DIDN'T HAPPEN , WHAT WOULD YOU DO IF IT DID?

2006-12-03 05:35:25 · 5 answers · asked by ? 3 in Earth Sciences & Geology

SUBJECT=Calories

In the experiment i will burn foods such as peanuts and marsmellows and use a calorimeter to determine the calories in each of them.

i still don't know how to make a hypothesis.
((i was thinking about figuring out saying that the more sugar in a substance, the more calories there are, but i don't know how to calculate the amount of sugar in a substance without reading the label))

2006-12-03 05:35:05 · 4 answers · asked by Anonymous in Chemistry

10.) a. 4^-3/2= 0.125
b. 7^3= 343

2006-12-03 05:34:44 · 4 answers · asked by Katy J 1 in Mathematics

Give it a go! i know ul love it

2006-12-03 05:34:29 · 5 answers · asked by Rob B 1 in Mathematics

2006-12-03 05:33:48 · 6 answers · asked by Alissa S 1 in Physics

2.) a. log10(0.1)= -1
b. log8(512)= 3

2006-12-03 05:32:48 · 3 answers · asked by Katy J 1 in Mathematics

need help with four problems please. Thank You.

1.Dividing (x + 5)/(x^2 - x -30) by (x + 6)/(x^2 -36) results in 1. Is this true.

2.Divide by factoring and then reduce. (x^2 + x - 6)/(x + 3)

3.Reduce (x^2 - 4x - 12)/(x^2 +5x + 6)

4.A jogger completed a workout of 5 miles per hour. His average rate of speed in minutes per mile would be 12. Is this false

2006-12-03 05:32:10 · 1 answers · asked by wil46yang 2 in Mathematics

Meiosis functions in:



A. asexual reproduction of single-celled eukaryotes

B. growth, tissue repair, often asexual reproduction

C. sexual reproduction

D. two of the above

2006-12-03 05:31:58 · 7 answers · asked by Anonymous in Biology