Science & Mathematics - 24 November 2006

Q1 Prove the following
(i) 0 to infinity , Integration of [e ^ -(x^.5)] / x ^ (7/4) dx = 8/3 (pie ^ .5)

(ii) 0 to 1 , Integration of (y ^ q-1) [(log x ^ -1) ^ p-1] dy = [Gamma (p) ] / q ^ p , where p>0,q>0

(iii) 0 to 1 , Integration of (x ^ m) [(log x)] ^ n dx =
[(-1) ^ n !] / (m+1) ^ n+1 , where n is a postive integer and m >-1

(iv) Given 0 to infinity , Integration of (x ^ n-1) / (1+x) dx =
pie / sin( n pie) , prove that [gamma (n)] [gamma (1-n)] =
pie/ sin (n pie)

Q2 Express 0 to 1 , Integration of (x ^ m) [(1-x ^ n ) ^ p] dx in terms of gamma functions .

note :- ! is the factorial sign .

2006-11-24 04:42:12 · 2 answers · asked by Anonymous in Mathematics

2006-11-24 04:41:57 · 2 answers · asked by Anonymous in Mathematics

2006-11-24 04:39:24 · 6 answers · asked by Brenda T 1 in Chemistry

If I buy a melon and a coconut, the cost will be £1.19. If I buy a melon and a pineapple, the cost will be £1.45. If I buy a coconut and a pineapple, the cost will be £1.40. What are the individual prices ?

2006-11-24 04:36:22 · 2 answers · asked by freddy197120032003 3 in Other - Science

Brushless exciters are generally used.

2006-11-24 04:29:16 · 4 answers · asked by Swagat C 1 in Engineering

I have a science project due Dec.1 almost two weeks ahead a nobody knows so can you guys please help me. Urgent

2006-11-24 04:28:06 · 3 answers · asked by candy k 1 in Geography

2006-11-24 04:24:51 · 5 answers · asked by Tarry Totter 1 in Zoology

This was something I saw twenty years ago in a geology class in college. I know all about the evidence shown through zebra striping in the basalt on the ocean floor, but am interested in any information about this particular experiment. They dug up an ancient campfire that supposedly had heated the rock so much that it allowed the ions to realligne.

2006-11-24 04:23:52 · 4 answers · asked by jane7 4 in Earth Sciences & Geology

college algebra

2006-11-24 04:23:31 · 7 answers · asked by koka 1 in Mathematics

college algebra

2006-11-24 04:22:09 · 5 answers · asked by koka 1 in Mathematics

What is the antiderivative of (10 + x^2)/x^3. I keep coming up with an answer that is obviously wrong. And can you walk me through the steps? That would be greatly appreciated.

2006-11-24 04:21:54 · 6 answers · asked by Renee C 2 in Mathematics

Would the moon need time zones if people lived there? What time is it on the space station? Do they use GMT?

2006-11-24 04:21:05 · 8 answers · asked by Anonymous in Astronomy & Space

2006-11-24 04:20:02 · 21 answers · asked by mvehon 1 in Zoology

I'm trying to build a DNA molecule...but I'm confused as to how to assemble the backbone...and I have no clue what materials to use....help?

2006-11-24 04:19:07 · 6 answers · asked by pirate at heart <3 1 in Biology

Are there any instruments that turn electromagnetic waves into images?

I know the question isn't really clear but I don't mean the television. Aren't televistion rays just translations of signals sent through waves. I mean waves directly converted into images like x-rays.

Let's say radio waves for example. What would a picture of a star look like in radio waves?

2006-11-24 04:18:01 · 7 answers · asked by Anonymous in Physics

2006-11-24 04:17:12 · 3 answers · asked by phoenix 1 in Medicine

why/why not? what are your arguments for or against GM food? (please add the country you live in)

2006-11-24 04:15:41 · 8 answers · asked by Milka 2 in Botany

This problem is this ....
I have a solar cell rated @ 6 volts -- 50 mAh How do I get more current ( amps ) and vo;ts . DO I wired them in a series circuit or a parrellel circuit or a combined circuot of both parallel - seris circuot

2006-11-24 04:13:52 · 3 answers · asked by Anonymous in Engineering

2006-11-24 04:13:43 · 1 answers · asked by Rod N 1 in Zoology

2006-11-24 04:10:59 · 1 answers · asked by raveen b 1 in Engineering

2006-11-24 04:10:58 · 7 answers · asked by Anonymous in Earth Sciences & Geology

Three cubes of volumes 1,8 and 27 are glued together at their faces. what is the smallest possible surface area of the resulting configuration?

2006-11-24 04:10:31 · 3 answers · asked by maya n 1 in Mathematics

2006-11-24 04:08:36 · 3 answers · asked by Anonymous in Geography

Write the reactions for the Standard heat of formation of these from their elements in the standard state:

a)HNO3(l)
b) Ca(NO3)2(l)
c) NaOH (s)
d) H2O(l)


Can anyone please verify the following answers...

a) 1/2 H2(g) + 1/2 N2(g) + 3/2 O2(g) -----> HNO3(l)

b) Ca(s) + N2(g) + 3O2(g) -----> Ca(NO3)2(l)

c) Na(s) + 1/2 O2(g) + 1/2 H2(g) -----> NaOH(s)

d) H2(g) + 1/2 Os(g) -----> H2O(l)

2006-11-24 04:08:12 · 2 answers · asked by smithwss 2 in Chemistry

2006-11-24 04:06:48 · 1 answers · asked by Alex L 1 in Biology

nitro-cellulose based

2006-11-24 04:05:18 · 2 answers · asked by rajusahajwan 1 in Chemistry

I'm carrying out an investigation to prove that tall people weigh more than shorter people. I have split my sample into 2 groups - tall and short students. I've drawn 2 box-and-whisker diagrams on the same axis -one for weights of short students, and another for weights of tall students. The one for tall students is positively skewed and the one for shorter students is negatively skewed. How does this support my hypothesis? I know it's a stupid question but for some reason i'm confused!

2006-11-24 04:05:00 · 3 answers · asked by ? 1 in Mathematics

2006-11-24 04:04:46 · 2 answers · asked by Paul C 1 in Mathematics

at what point /or how does your neck break

2006-11-24 04:01:22 · 17 answers · asked by purple diamond 4 in Medicine

A sample of hydrogen gas was collected over water at 21 degrees C and 685 mm Hg. The Volume of the container was 7.80 L. Calculate the mass of H2(g) collected.

(Vapor pressure of water at 21 degreesC is 18.6 mm Hg)


Can anyone please verify that the answer is n=PV/RT where.......

P = (685-18.9)/760 = .877 atm
V = 7.80 L
R = .0821 L*atm/Mol *K
T = 21+273.15 = 294.15

(.877(7.80) / .0821(294.15) =.283 mol H2 = .283(2) = .566 g H2

2006-11-24 03:59:30 · 2 answers · asked by smithwss 2 in Chemistry