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Ahh (1-sin^2)^0.5 eliminates the need to use rt angle triangles. i like that

Let y= inverse cosecx x=1/siny Find dx/dy, flip it. Sub y=inverse cosecx I think thats how you do it.. EDIT:OH, and you'll need to play around with the rt angled triangles(hyp is 1, opp is x,etc)

the integrand is 2/(u+1) [2log(u+1)] and just follow mirakons steps Wow is my bos delayed or what?

2U thread? What am I supposed to say? Inverse cosine function/Inverse cos? People wont know what you're on about, except you and everyone who has done inverse functions of course

I make notes when I firts learn the content. Strangely I refer back to my textbook instead of my notes when I forget something

huh? f(^-1)[x] means inverse and (f[x])^-1 means reciprocal. -(x+2)/(x+1) is not (2-x)/(x-1)...

It's 9x. Lol gotta hate it when that happens Wait this is four unit?? Feels more prelim 2u and hsc 3u

I think for a ii) it's 0 < k < 4

sin2y/2 = sinycosy y=tan-1e^x sin(tan^-1_e^x) x cos(tan^-1_e^x) Using a rt < triangle, you'll find the hypotentuse is (1+e^2x)^0.5 you should be able to do it from there

domain x any real no. range 0 < y< pi/2 Range of tan(-1)x is -pi/2< angke < pi/2 But because e^x is always positive, tan^-1e^x can never be negative. Hence the range is between pi/2 and 0. As e^x approaches infinity, it approaches pi/2 As e^x approaches to 0 (when x approaches...

uhhh? Just read your books? How can you learn something the wrong way if youve read everything correctly? It gets easier when you have more experience in doing stuff yourself

No. That is pretty hard for a maxima/minima problem.

very nice atar chromatic. I remember your subs weren't high in scaling.

AC = 2root(100-x^2) Therefore A triangle = 1/2 x 2root(100-x^2) x (10+x) Differentiate it using the product rule. Equate to 0 and solve for x. Determine max point Use shift cos to prove the two 60 degrees and then use angle sum. someone post next question

A few of the basic ones, all of the development ones and I attempt all the challenge ones (unless it looks really mind blowing)

I've read complex no.s and conics in fitzpatrick. The explanations are good, not sure about the questions. Oh and yea, I find terry lee an extremely bad book to learn from. It's good for the questions, that's it

I don't think so. Most people here who posts their marks are highly intelligent. people...who are less competent dont post here. of course there are a few that do, and they usually post their miseries along with their marks.

Ahh thx. Thought there was something special about it.

Identify the need for a catalyst. Not identify the catalyst.

Yea you get (cot36)^2 / 2 if you find the largest square inside the circle that fits in the pentagon. it is obvious that there is a square that can have an area of 1 though...