The Student Room Group

Maths Question Help Guys

I've got a set of questions i need help knowing how to work out and understand them. I've typed the full question if it helps.Well here goes:

1. Find the domain and range of

f(x) = sin(1/x+1) + exp(1/x+1)

Does this function have an inverse? (Give reasons for your answer)
-------------------------------------------------------------------
2. Find the general solution to

cos3θ = cos(5θ-∏/7)
-------------------------------------------------------------------
3. Find all solutions of

2cos2θ + 4sinθcosθ = 2^1/2

in the range -∏ ≤ θ ≤ ∏
-------------------------------------------------------------------
4. Solve the equation

log3(x)=log9(|x + 6|)
-------------------------------------------------------------------
5. Use the identity (1 +x)^n x (1 +x)^n = (1 -x^2)^n

deduce that if 2r ≤ n then

2r
∑ (-1)^r-a (n) ( n ) = (n) All one line
a=0 (a ) (2r - a) (r)

--------------------------------------------------------------------

Reps and great appreciation for help.

Thanks in advance:biggrin:
Reply 1
letmepassplz
I've got a set of questions i need help knowing how to work out and understand them. I've typed the full question if it helps.Well here goes:

1. Find the domain and range of

f(x) = sin(1/x+1) + exp(1/x+1)

Does this function have an inverse? (Give reasons for your answer)
-------------------------------------------------------------------
2. Find the general solution to

cos3θ = cos(5θ-∏/7)
-------------------------------------------------------------------
3. Find all solutions of

2cos2θ + 4sinθcosθ = 2^1/2

in the range -∏ ≤ θ ≤ ∏
-------------------------------------------------------------------
4. Solve the equation

log3(x)=log9(|x + 6|)
-------------------------------------------------------------------
5. Use the identity (1 +x)^n x (1 +x)^n = (1 -x^2)^n

deduce that if 2r ≤ n then

2r
∑ (-1)^r-a (n) ( n ) = (n) All one line
a=0 (a ) (2r - a) (r)

--------------------------------------------------------------------

Reps and great appreciation for help.

Thanks in advance:biggrin:


Anyone?
Reply 2
Dude, do your own hw. At least try it and reference a textbook before coming here for help.
Reply 3
shs9001
Dude, do your own hw. At least try it and reference a textbook before coming here for help.


These are questions ive tried to do so ive come here for help, if u come here just to flame GET LOST
Reply 4
anyone else care to help? I need this by 2mro :s-smilie:
Reply 5
what are you having trouble with?
Reply 6
Nfixlol
what are you having trouble with?


the questions above i have like 2 sheets worth of maths questions and these i cant do :confused:
Reply 7
Still no1 :-(
At least show some working, that's why no one is helping. It just looks like you've put your homework up.
Reply 9
JAKstriked
At least show some working, that's why no one is helping. It just looks like you've put your homework up.


Its cos i got no clue how to answer them
Reply 10
1. Do you know what domain and range is?
Reply 11
ShortRef
1. Do you know what domain and range is?


yes i do
Reply 12
then see what numbers you can and cant put into that function