ForOneEon
Member
- Joined
- Sep 23, 2013
- Messages
- 102
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- HSC
- 2013
Well that makes me an idiot. I think I screwed that up big time. Dang.Yup I recall doing the latter, (except I think I stuffed up the algebra cause I was kinda tired)
Well that makes me an idiot. I think I screwed that up big time. Dang.Yup I recall doing the latter, (except I think I stuffed up the algebra cause I was kinda tired)
lol I got the values out for m by inspection, not sure if it counts oops14)b iv) y=mx passes through the origin. If you want to enclose an area you have to have 2 intersection points between the line y=mx and the curve
You can do this two ways, either find the gradient of the tangent to f(x) at x=0 then let m < gradient or solve the equations simultaneously and let the discriminant be positive for 2 solutions (i.e. 2 intersections). If you do the latter you will get a cubic, but note x=0 is an obvious solution so divide by x and get a quadratic.
uhhh howlol I got the values out for m by inspection, not sure if it counts oops
well I knew that the gradient at the origin was 1 so clearly m has to be between 0 and 1 for there to be two intersections?uhhh how
well I knew that the gradient at the origin was 1 so clearly m has to be between 0 and 1 for there to be two intersections?
?14)b iv) y=mx passes through the origin. If you want to enclose an area you have to have 2 intersection points between the line y=mx and the curve
You can do this two ways, either find the gradient of the tangent to f(x) at x=0 then let m < gradient or solve the equations simultaneously and let the discriminant be positive for 2 solutions (i.e. 2 intersections). If you do the latter you will get a cubic, but note x=0 is an obvious solution so divide by x and get a quadratic.
You're kidding...Yeah, I guessed that the gradient was 1 instead of subbing it into the derivative lol
I was running out of time lolYou're kidding...
"by inspection it is obvious that, indeed, "I was running out of time lol
though in her defence, carrot would only use neat values. so after sketching, if it looked like it, it probably was 1."by inspection it is obvious that, indeed, "
clearly"by inspection it is obvious that, indeed, "
You got question 1 of the multiple choice wrong lol.So while I was procrastinating English, I wrote up these solutions complete with shoddy working Hope it's legible and please tell me if I made mistakes haha.
https://drive.google.com/folderview?id=0B4D3wNobxSuvMG93NHRCNS14UTA&usp=sharing
It's funny cause it's true.You got question 1 of the multiple choice wrong lol.
The rest is fine thoughIt's funny cause it's true.