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#1 Help Me ! » Question about Euler-lagranges equation » 2010-05-15 00:37:18

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Replies: 0

so ive been revising my lecture note and ive found a subject which is slightly confusing me
I have the following integral 

we have the euler equation:


which gives us two equations

does anyone know how to get to these answers. i've tried to solve it but i think i've gone wrong with my differentiation

#2 Re: Help Me ! » new integration variable » 2010-02-22 03:55:26

ahh i understand that now must have missed a step.
suppose i want to change the denominator to


im assuming i use the same method though using a different integration variable delta as

now i've tried doing it like this and it gets a bit messy and im finding it hard to calculate the dx's does anyone have a suggestion for a different integration variable?

#3 Help Me ! » new integration variable » 2010-02-20 07:43:08

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Replies: 3

Hey im trying to understand my lecture notes, i have the following method of integration which is confusing me

here the new integration variable delta is used as


so we have

this i understand but then my notes say

which is where i get confused. does anyone know how to calculate this x-1?? any help would be much appreciated

#4 Help Me ! » functions » 2007-10-30 22:29:11

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Replies: 4

g: B->A  such that g(f(a))=a   for all aEA
h:B->A such that f(h(b)=b    for all bEB

show that g(b)=h(b)    for all bEB

#5 Re: Help Me ! » injective function » 2007-10-30 08:53:38

the answer should not refer to the inverse of f since it may not exist

#6 Help Me ! » surjective function » 2007-10-30 08:38:47

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Replies: 2

let A B be sets
f:A->B
suppose there is a function h:B->A with the property that f(h(b)=b for all bEB
show that f has to be surjective

please help will be much appreciated!!!dunnodunno

#7 Help Me ! » injective function » 2007-10-30 08:23:41

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Replies: 4

let a b be sets 
f:A->B
suppose there is a function g: B->A with the property that g(f(a))=a for all aEA. show that f has to be injective

please help!!!

#8 Help Me ! » functions » 2007-10-30 06:58:28

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Replies: 1

x/(1+x^2) is this surjective injective or both how can you tell???

#9 Re: Help Me ! » functions » 2007-10-30 06:21:46

thanks but what properties of sine/cosine did you use to get the values of x???

#10 Help Me ! » polar form » 2007-10-29 01:59:06

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Replies: 2

find solution ZEC in polar form for the equation Z^6=1

please help!:D

#11 Help Me ! » functions » 2007-10-29 01:53:53

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Replies: 1

let a,b be sets
suppose there is a function g:B->A with the property that g(f(a))=a for all aEA. show that  f has to be surjective

please help!!!

#12 Help Me ! » functions » 2007-10-25 07:11:40

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Replies: 2

F(x)=5sin(2x)-2cosx

is this funtion R->R
injective, surjective, or both anyone know and can show me how to determine for future references

#13 Help Me ! » integration » 2007-10-23 08:57:32

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Replies: 1

does anyone know if this is the correct method of integration??
integrate sin(Pi*x)

i got as a result (-cos(Pi*x))/(Pi)

anyone know if this is right/wrong???
Pi= 3.141592654

#14 Help Me ! » integration » 2007-10-23 08:54:35

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Replies: 1

please help me integrate
cos(^3)xsin(^3)x

#15 Help Me ! » arctan function » 2007-10-22 06:13:20

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Replies: 3

intergrate tan^(-1)dx

#16 Help Me ! » integration by parts » 2007-10-22 06:12:31

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Replies: 1

intergrate e^(2x) cos(3x) dx
anyone???

#17 Help Me ! » integration » 2007-10-22 06:11:18

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Replies: 7

intergrate tanh(2x+1)dx
please help!!!

#18 Help Me ! » greatest common divisors » 2007-10-15 02:05:48

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Replies: 6

find the greatest common divisor of 2241 and 1411. check your answer by factorizing these numbers into a product of primes

#19 Help Me ! » Proofs!! » 2007-10-15 01:49:11

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Replies: 2

Help me please dizzy

1) Prove that there do not exist natural numbers a, b with (a/b)^2=5

2) where does the proof go wrong if you try to use the same arguement to prove the (incorrect) statement that there do not exist natural numbers a, b with (a/b)^2=4?

Any help much appreciated!!!

#20 Help Me ! » Axioms for real numbers proofs!!! » 2007-10-15 01:43:51

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Replies: 1

hey if anyone could help me with the two following proofs by using the axioms for real numbers it would be very much appreicated!!!
1) Suppose c ER has the property that ca=a, for some non-zero aER. prove that c=1
2) Suppose x, y ,z are real numbers and Z<0 and X<Y. prove that XZ>YZ

dunno

thanks in advance big_smile

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