Mathematics - 14 December 2007

What is Quadrature for unequal subdivision of the range of integration? please explain

2007-12-14 03:04:23 · 2 answers · asked by karan s 1

I'm struggling with another problem from Rotman, namely:

If a group G has exactly two conjugacy classes, and at least one element of finite order, prove that it is isomorphic to the cyclic group of order 2.

Here's what I've got.

A. Let a be an element of order n. Then any other non-identity element is a conjugate of a, and hence has order dividing n.

B. By a very similar argument, all non-identity elements have the same order.

C. Obviously, that order must be a prime.

D. If that prime equals 2, the result is easy to prove as follows:

For any non-identity a and b, ab has order 2 (or 1). So abab = 1. So bab = a.

We just proved that all conjugates of a equal a. Since every non-identity element of G is by assumption a conjugate of a, we're done.

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So what am I missing?

2007-12-14 02:59:21 · 1 answers · asked by Curt Monash 7

The altitude of a triangle are concurren. What is the name of their common pt?

2007-12-14 02:59:07 · 6 answers · asked by KASSIE101 2

integral {2 to 10} of ( 1/ sqrt(x-1) )dx

2007-12-14 02:52:49 · 6 answers · asked by Lucy R 1

I have tried the conjugate method and other things and still can't seem to find the answer...does anyone have any suggestions or answers!? THANKS!

2007-12-14 02:51:50 · 7 answers · asked by KDog1313 1

Choose the ordered pair that is a solution to the system of equations.

-3x + y = -4
3x + y = -4

(-4, 0)
(4, 0)
(0, 4)
(0, -4)

2007-12-14 02:48:12 · 8 answers · asked by sstew15 3

how do i find the derivative of this function??

f(x) = e^2x * cos(4x)

2007-12-14 02:47:14 · 4 answers · asked by Britney 1

If 8x + 5x + 2x + 4x = 114, then 5x + 3=?????

If you can also tell me how you figured it out? I don't understand Algebra either! GED test tomorrow, I know Algebra is on there.. Also if you have any helpful hints for me to jog my memory it's been YEARS (over 10) since I have been in school!! I know there are simple formula's to figure out x but I can't remember.. Thanks all!!! I want to get in college for Winter, but have to pass this test tomorrow!!! Keep your fingers crossed!!!

2007-12-14 02:30:45 · 14 answers · asked by Can't stand this 4

Two cars are approaching an intersection. One is 4 miles south of the intersection and is moving at a constant speed of 50 miles per hour. At the same time, the other car is 5 miles east of the intersection and is moving at a constant speed of 60 miles per hour.

(a) Express the distance d between the cars as a function of time t.

HINT GIVEN: At t = 0, the cars are 4 miles south and 5 miles east of the intersection, respectively.

Sorry, but this hint does not make sense to me. I need someone to solve this question step by step explaining as you go through the problem. Okay?

2007-12-14 02:13:03 · 5 answers · asked by journey 1

2007-12-14 02:10:38 · 3 answers · asked by Anonymous

If you preferred that the value of "a" be between 0 & 1 or larger than 1 with an explanation of your reasoning. Please help me answer this. That goes with the Rule of 72. How does it fit in with calculating interest.? Thanks.

2007-12-14 02:08:54 · 1 answers · asked by dc 1

6k - 8 - 4k = 6

k=?

16= 2 (s + 9) - 4
s=?

and

2= 3-4t/5

t=?

2007-12-14 01:55:00 · 5 answers · asked by icanseethevenominyoureyes 1

how do i find the limit here?

lim (x+6) / (x^2-36)
x->6

2007-12-14 01:52:13 · 3 answers · asked by Ashley 1

Why Is The Varible "M" Used To Represent Slope?

2007-12-14 01:41:42 · 4 answers · asked by Anonymous

1.) find the instantaneous rate of change in temperature with respect to time.

T(t) = (4t) / (t^2+1) + 98.6


2.) find the rate of change at t = 2 hours

2007-12-14 01:38:30 · 3 answers · asked by Nicole 1

f(x)=1/4 ln (x^4)/(1+x^4)

2007-12-14 01:35:34 · 1 answers · asked by Nicole 1

f(x) = 1/4 ln (x^4)/ (1+x^4)

2007-12-14 01:16:48 · 2 answers · asked by Nicole 1

A cake is cut into 3 pieces in the ratio 2:3:4. Weight of the 3rd piece is 360gm more than 2nd piece. What is the weight of the cake? With calculations shown.

2007-12-14 00:59:56 · 1 answers · asked by Monesh 1

where are all the values of x where f is discontinuous? also, which discontinuities are removable or unremovable?

f(x)=
x^2, x<2
3, x=2
3x-2, 2 2x, x>= 4

2007-12-14 00:49:28 · 3 answers · asked by Ashley 1

how do i find the limit?

lim (sin 5x) / (sin7x)
X->0

2007-12-14 00:41:57 · 2 answers · asked by emma 1

2007-12-14 00:34:20 · 9 answers · asked by Anonymous

2007-12-14 00:23:49 · 2 answers · asked by eazylee369 4

∫ Xtan^2(x^2)sec^2(x^2) dx


Thanks
I reward best answers

2007-12-14 00:19:22 · 3 answers · asked by __ 3