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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:
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
ahh i understand that now must have missed a step.
suppose i want to change the denominator to
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
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
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
the answer should not refer to the inverse of f since it may not exist
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!!!
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!!!
x/(1+x^2) is this surjective injective or both how can you tell???
thanks but what properties of sine/cosine did you use to get the values of x???
find solution ZEC in polar form for the equation Z^6=1
please help!:D
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!!!
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
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
please help me integrate
cos(^3)xsin(^3)x
intergrate tan^(-1)dx
intergrate e^(2x) cos(3x) dx
anyone???
intergrate tanh(2x+1)dx
please help!!!
find the greatest common divisor of 2241 and 1411. check your answer by factorizing these numbers into a product of primes
Help me please
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!!!
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
thanks in advance
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