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Hopefully someone will get it and share their working

Please help me approach this question Graph the region 1/x>1/y

I didn't use AM-GM for x2+y2>=2xy, I used the given (x+y)2>=4xy and if you expand the LHS and minus 2xy from both sides, you get x2+y2>=2xy Therefore, (x2+y2)/x2y2 >=2xy/x2y2

Oh wow that's clever! What year do students usually learn the AM-GM inequality thereom? Not sure if I was just not listening in class or yr 12 theory

Oh right How did realise nothing apply that to the question?

What is AM and GM?

Given that (x+y)^2>=4xy, Prove that 1/x^2 +1/y^2>=4/(x^2+y^2)

Lol nvm just got it thanks for the help guys. Just to confirm though, in these sort of questions, do I not have to follow the traditional proof style of LHS=......=RHS?

I can't tan the right hand side because it's out of the -pi/2 to pi/2 domain since we're dealing with inverse trig. Pi minus cos-1 3/5 is out of that domain I'm probably spewing nonsense here though

Nvm , above is wrong, I used the 4th quadrant. This is where I'm at right now: tan(2tan-12)=-tan(pi-cos-1-3/5)

Asianese, I got tan(2tan-12)=-tan(pi-cos-13/5) I don't know what to do next

Prove that 2tan-12= Pi - cos-13/5 Use the fact that tan(pi-x)=-tan x

Sorry, what is an early offer?

What's the difference between the examination mark and assessment mark?

did oblivious ninja get a bio state rank?

PM me

Because the Great War was a mad, brutal, awful struggle, distinguished more often than not by military and political incompetence; because the waste of human life was so terrible that some said victory was scarcely discernible from defeat; and because the war which was supposed to end all wars...

In your discussion; - Assess reliability + if you drew a graph, did the points of the graph adhere well to the LOBF? + if you recorded results for more than 1 test run of the experiment, average the results, find the greatest deviation and calculate the percentage of the...

I'm interested, I've sent you a PM

Re: Why is g = +9.8 in the g-force and acceleration formula when gravity acts downwar No, I think Prawnchip is talking about the g-force=1+a/g and why the g is positive and not negative since gravity acts downwards where the positive is in the upwards direction. The g is positive because the...