Mathematics - 23 October 2007

1)let M be a 3x3 matrix (2 1 1, 1 1 2, 0 2 1) (note that in this matrix row 1 is 2 1 1, row 2 is 1 1 2, ...). this matrix can be read as an element of Mat(3,F) for any field F, in particular for Q and for Z/p for every prime p. for which of these fields is M in GL(3,F)? for each field for which M is not invertible, find its null space.
2) consider the transpositions (12),(23),(34),(56),(67) in S_7. how can you prove that this is isomorphic to S_4XS_3, such that (12),(23),(34) generate S_4, and (56),(67) generate S_3.

2007-10-23 23:13:09 · 1 answers · asked by greenheaven 1

can someone prove whether 2+2=5? if so, does this imply 2+2=4 is incorrect?

2007-10-23 22:29:37 · 4 answers · asked by albert o 1

2007-10-23 22:23:50 · 4 answers · asked by Anonymous

12.5% of x is 2538 how to find the value of x. every help is much appricated.

2007-10-23 22:16:38 · 7 answers · asked by Anonymous

2007-10-23 22:12:09 · 9 answers · asked by nikki 2

please show workings

2007-10-23 22:06:35 · 5 answers · asked by Anonymous

2007-10-23 20:58:34 · 10 answers · asked by JENNIFER P 1

2007-10-23 20:39:09 · 9 answers · asked by JENNIFER P 1

2007-10-23 20:32:57 · 7 answers · asked by Devils advocate 1

A sledge loaded with bricks has a total mass of 17.6 kg and is pulled at constant speed by a rope. The rope is inclined at 19.9° above the horizontal, and the sledge moves a distance of 19.5 m on a horizontal surface. The coefficient of kinetic friction between the sledge and surface is 0.500.
(a) What is the tension of the rope?
N
(b) How much work is done on the sledge by the rope?
kJ
(c) What is the energy lost due to friction?
kJ

2007-10-23 20:17:59 · 2 answers · asked by inpsite 1919 3

Derivatives are Very Confusing.

2007-10-23 20:13:56 · 3 answers · asked by Conservative Jesus 1

okay, i've been working in circles on this for a while.

considering Euler's formula where V - E + F =2

A polyhedron has 20 faces that are hexagons and p faces that are pentagons with no additional faces. Three faces/edges meet at each vertex.

a) in terms of p, determine the number of edges
b) in terms of p, determine the number of vertices
c) determine the value of p

2007-10-23 19:49:27 · 1 answers · asked by wiczyman 5

diff:

f(x)= cos (ln x)


A step by step brake down would be appreciated. Trig in anything always messes me up.

2007-10-23 19:07:58 · 5 answers · asked by Anonymous

3.4 < k*z < 10.5

and

0.8 < (k+1)^2 / (k*z) < 0.844

I know these are nonlinear, but I also know they are solvable.
Thanks!

2007-10-23 19:04:24 · 2 answers · asked by R D 2

http://docs.google.com/Doc?id=dgmbvt73_3cxtc95

the problem is at the link above. i though i was just supposed to take the integral from 0 to 1 of each parametric equation but my answers are not coming out like any of the answers given. Not sure what i'm doing wrong. thanks for any help

2007-10-23 18:55:59 · 2 answers · asked by bob oso 2

4 3/16

2007-10-23 18:55:37 · 10 answers · asked by susan j 1

There are two answers to sin(x)=.703x, one of which is 0, but how do you get the other? I'm drawing a blank here.

2007-10-23 18:54:40 · 3 answers · asked by jon u 1

Solve in the real number system:

6x^3 + 11x^2 - 4x - 4 = 0

How? Thank you.

2007-10-23 18:45:59 · 7 answers · asked by labelapark 6

A step-by-step walkthrough would be appreciated

2007-10-23 18:44:03 · 4 answers · asked by Conservative Jesus 1

2007-10-23 18:32:55 · 7 answers · asked by Meh 2

2007-10-23 18:10:44 · 12 answers · asked by simonaputinelu 1

the matrix has 7 squares going across and 7 going down.
the top line going across reads +/- 3 5 1 2 4 8 and the first column going down reads +/- 7 6 0 5 7 2.
there is a second matrix with the same number of boxes but there are numbers filled in through out.

2007-10-23 18:10:21 · 1 answers · asked by Star 4

2007-10-23 18:09:42 · 7 answers · asked by mztana820 1

Find the coordinates of the image of quadrilateral Q(-6, -1), U(-4, 6), A(0, 7), D(3, 5), after performing a reflection over the line y = x. Show all work using the appropriate reflection matrix.

2007-10-23 18:02:45 · 3 answers · asked by Anonymous

CALCULUS: LIMITS o' Natural Log!!?
lim as x approaches infinity (+) ...ln [(x^.5) + 5] divided by ln x...i believe it is 1/2...i may be wrong please help...i need by tomorrow !! no lopital plz

2007-10-23 17:57:27 · 3 answers · asked by Kenichi S 2

Given the function f(x) = 3x^3-10x^2+7x+10
Write f(x) as a product of linear factors.
Ok so this is what I have done so far:
P: +-1, +-2, +-5,+-10
Q: +-1, +-3
P/Q = +-1,+-2,+-5,+-10, +-1/3, +- 2/3, +-5/3, +-10/3

On the calculator I pressed 2nd trace and value and found that when x= -2/3, y=0. So that has to be one zero for sure. Just to make sure it was, I used synthetic division and the remainder was zero.
-2/3 / 3 -10 7 10
___-2_ 8_-10____
3 -12 15 -10
so I brought the equation down
3x^2-12x-15
factored: 3(x-5)(x+1)
x= 5, x = -1
Now this is where I am stuck..when I graphed the first equation..it only had one zero....which was -2/3
Now how do I write f(x) as a product of linear factors
So basically writing the same equation as given in a different form with all zeros.
Can someone help me please?
Thanks.

2007-10-23 17:51:08 · 2 answers · asked by Anonymous

The plane's altitude is 6 miles. Suppose that when the distance between the plane and the radar station is 10 miles, this distance is increasing at a rate of 500 miles per hour. Find the speed of the plane.

^this is all that is given and the following is my own attempt.
I'm in calculus and it's dealing with relative rate.

also ive gotten this so far but cant seem to get the right answer, although i dont know what it is. i am using an online homework machine so it tells me when its right or wrong.

given: when g=10miles dg/dt=500 mi/h
goal: find d(angle)/dt
Equation: Tan(angle) = 1/6 * g
soln: sec^2(angle) * d(angle)/dt = d/dt(1/6*g)
136/36 *d(angle)/dt = 1/6 * dg/dt
136/36 * d(angle)/dt = 500/6
d(angle)/dt = 500/6 * 36/136
d(angle)/dt = 3000/136

and that is not hte answer and i'm not understanding what i am doing wrong.

please help!!!

2007-10-23 17:50:05 · 2 answers · asked by Anonymous

97 out of 100 people cannot detect the difference in taste between new(healthier) and old cooking oils. In a random sample of 1000 individuals, what is the probability of

a) at least 40 can taste the difference between the oils?

b) at most 5% can taste the difference between the oils?

2007-10-23 17:45:23 · 1 answers · asked by ? 3

Bill flips two coins, and John flips three coins. What is the probability that
Bill observed at least as many heads as John ?

2007-10-23 17:41:42 · 4 answers · asked by Josh M 1

a high speed dispensing machin fills boxes of laundry detergent with an ajustable mean of M ounces and a fixed standard deviation of .2 ounces. The amount dispensed is approximately normally distributed. what choice should be made of the mean M so that at least 99.5% of all boxes labelled 40 ounces will actually contain at least 40 ounces?

2007-10-23 17:37:26 · 1 answers · asked by Josh M 1