Mathematics - 17 December 2007

and yes i have solve the rubiks cube many times over and over....just give me new easy notation...

2007-12-17 08:09:31 · 3 answers · asked by viperdc742 1

Let (X, M, m) be a mesure space and let f_n be a sequence of integrable complex valued functions that converges uniformly to a function f. If m(X) < oo, then, f is integrable and lim Int f_n dm = Int f dm. I found a somewhat different proof for this, but some pepole says its too complicated. Do u agree?
Fix some eps >0. Since f_n --> f uniformly, there exists k such that n >= k => |f_n - f_k| < eps => |f_n| < |f_k| + eps, which implies the k tail of f_n is dominated by |f_k| + eps. Since |f_k| is integrabel (because f_k is) and m(X) < oo, then Int (|f_k| + eps) dm = Int |f_k| dm + eps m(X) < oo, so that |f_k| + eps is integrable. Since the k tail of f_n also converges to f, it follws from the Dominated Convergence Theorem that f is integrable and lim(n >= k) f_n dm = Int f dm, which shows the k tail of Inf f_n dm --> Int f dm. Hence, lim Int f_n dm = Int f dm as stated.

There's another proof for this theorem that doesnt rely on the D. C. Theorem.

2007-12-17 08:03:44 · 2 answers · asked by Steiner 7

3 Calculus Questions, Multiple Choice, Please Help, Pictures included! click links for problems...
I always give out best answer points

3 questions

Question 1

http://i106.photobucket.com/albums/m254/meskodaclown/calchelpmeeee1.gif



Question 2

http://i106.photobucket.com/albums/m254/meskodaclown/calchelpplease2.jpg



Question 3

http://i106.photobucket.com/albums/m254/meskodaclown/pplleaseehelp33.jpg


Thank you so much! Some details / explanations to the solutions would help me out a lot for my future test as well... Thanks..

2007-12-17 07:54:35 · 4 answers · asked by calcconfusion 1

I'm only in eighth grade so please explain it in an easy method to follow. Please attempt to answer the following questions:

1. When and Where is Phi used??
2. What is the difference between 1.618 and 0.618?? When is each used??
3. Please give some examples on how to use phi.

Any additional information is appreciated. Thank you.

2007-12-17 07:49:52 · 2 answers · asked by α ρℓα¢є ¢αℓℓє∂ мєℓαи¢нσℓу . 6

i need help, I don't know how to solve this problem:

y = (3x-4)squared

I need to find the derivative using the Product Rule. Can someone show me the work how to do it, I don't need the answer only.

2007-12-17 07:47:47 · 10 answers · asked by Anonymous

2007-12-17 07:47:28 · 5 answers · asked by Cookie A 1

What is the largest number correct to 2 decimal places that comes before 5.5 and why? Please help

2007-12-17 07:45:43 · 4 answers · asked by Anonymous

2007-12-17 07:45:38 · 1 answers · asked by Anonymous

2007-12-17 07:42:03 · 2 answers · asked by Anonymous

d

2007-12-17 07:35:38 · 7 answers · asked by Anonymous

Grading System:
65% Tests
25% Quizzes
10% Homework
Quiz 60
Quiz 90
Quiz 100
Test 30
I only missed one homework assignment. But I don't know the grade.
My grade with those is 44.8.
Since then my teacher highered my test score to a 40.
And I got a 84 in a new quiz.
What is my grade now AND what grades do I have to get to get a 80 for the marking period if I have 3 tests and 3 quizzes to take before the end of the marking period?
Thank you so much for anyone who answers.

2007-12-17 07:30:30 · 4 answers · asked by In hiding 4

2007-12-17 07:16:38 · 2 answers · asked by Anonymous

A chess board 8x8 is placed on top of an identical board and rotated through 45 degrees about its center.

What is the area S which is black in both boards?

2007-12-17 07:15:20 · 2 answers · asked by Anonymous

1/R=1/r1+1/r2 solve for r2

r1=r to the first power.. and the little r and R and different.

2007-12-17 06:58:37 · 9 answers · asked by Anonymous

eg: y = 4a(x^2+b) over 3
multiply by 3 - 'why is this 1st'?
divide by 4a - 'why divide? how do you know to divide'?
many thanks

2007-12-17 06:42:35 · 2 answers · asked by Anonymous

2007-12-17 06:14:32 · 2 answers · asked by Anonymous

Find f''(x) if f(x) = √4x+9

(just so u know that is the square root of 4x+9)

______
V 4x+9

need solution please

you are all of a great help, i have done almost 107 calculus problems over the past 4 days and have been stumped on about 20 or so... Thank you so much for your time and help

2007-12-17 06:00:53 · 10 answers · asked by calchelp1 1

the answer is meant to be k^2. nothe the stated problem is only true for k greater than or equal to 4

2007-12-17 05:53:33 · 2 answers · asked by mike08 1

a) cube roots of -27i
b)fourth roots of 1
c) fourth roots of -8-8radical 3i

only know how to get only one of the roots.thanks

2007-12-17 05:48:47 · 3 answers · asked by nancy 1

Determine the amount of an investment if $1,000 is invested at an interest rate of 11.2% compounded monthly for 45 years.

2007-12-17 05:46:42 · 2 answers · asked by Anonymous

The use of iPods has increased in popularity. In 2001, there were 20 million people who used one. Assuming the use of iPods increases 10% annually, predict the number of people using an iPod in 2009.

2007-12-17 05:41:17 · 6 answers · asked by Anonymous

find ratio: 36 miles to 45 miles
-----------------------------------------------
lowest common denomator: 7, 14, 21, 36
-----------------------------------------------------------
find area: 7/9 28/11

2007-12-17 05:33:43 · 4 answers · asked by supergirl07 1

How can I connect Electric Potential and Potential difference with math?

2007-12-17 05:30:59 · 3 answers · asked by Anonymous

I'm having trouble getting the solution... please help!

Given a cost function of C= 11x^3 / 82944000 - 9x + 2200 / x^2 , what production level will minimize the cost per item?

thank you very much for your help!

2007-12-17 05:29:27 · 2 answers · asked by calchelp1 1

how do i do this??

2007-12-17 05:20:31 · 5 answers · asked by Anonymous

I don't understand how to answer the following questions:
x^2 = x + 6
Answer: x = 3 or -2

x^2 = 3x + 70
Answer: x = 10 or -7

x^2 + 12 = 7x
Answer: x = 3 or 4

2x^2 + 2 = 5x
Answer: x = 1/2 or 2

3x^2 + 17x + 20 = 0
Answer: x = -4 or -5/3

2x^2 + 5 = 11x
Answer: x = 1/2 or 5

3x^2 + 13x + 4 = 0
Answer: -1/3 or -4

2x^2 + 17x = 9
Answer: x = 1/2 or -9

3x^2 + 2x = 8
Answer: x = 4/3 or -2

2007-12-17 05:19:50 · 5 answers · asked by youlookingood 1

2007-12-17 05:12:23 · 4 answers · asked by lilmars114@sbcglobal.net 1

Figure ABCD:
http://i13.tinypic.com/814d7nr.gif

1. The longest side of triangle ABC is

A. Segment AB
B. Segment BC
C. Segment AC

2. The shortest side of triangle ACD is

A. Segment AD
B. Segment CD
C. Segment AC

and

3. Triangle ABC with vertices A(-4,2), B(4,3), C(1,-3). list the angles in order from least measure to greatest measure.

thank you, thank you, thank you a million to anyone who helps!

2007-12-17 04:49:19 · 5 answers · asked by Anonymous

(6√y)^2

a. 36√y
b. 36y^2
c. 6y^2
d. 36y

2007-12-17 04:49:01 · 6 answers · asked by . 1

√398

a. 19.955
b. 19.947
c. 398.000
d. 19.950

2007-12-17 04:45:55 · 13 answers · asked by . 1