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Yes there is, but it's a pain to do, which is why we don't consider it compared to first principles for differentiation. I would write it out but it's a bit of a pain with Latex, so see 4:40 of this video:

You probably want to do both - so a more general overview as to what each body does, and then a more specific analysis of how they help enforce human rights. Remember that enforcing and promoting are 2 very different things, so you need to identify the roles as such.

Mol of H2S = 16/(1.008*2+32.065) = 0.469 mol Mol of SO2 = 20/(16*2+32.065) = 0.312 mol This means that since the ratio should be 2:1, andn since 0.469/2 = 0.235 (Rounding), the H2S is the limiting reagent. This means remaining SO2 = 0.312 - 0.469/2 = 0.077 As such, the remaining mass is...

Well it depends on the school. Some schools allow it, others don't (Because it gives students free periods). You'd have to check with the school

For reference, the formulas used are: 1/2*(sin(A+B)-sin(A-B)) = 1/2*(sin(A)cos(B)+sin(B)cos(A)-sin(A)cos(B)+sin(B)cos(A)) = 1/2*(2sin(B)cos(A)) =sin(B)cos(A) and 1/2*(sin(A+B)+sin(A-B)) = 1/2*(sin(A)cos(B)+sin(B)cos(A)+sin(A)cos(B)-sin(B)cos(A)) = 1/2*(2sin(A)cos(B)) =sin(A)cos(B) and then...

Sorry! https://educationstandards.nsw.edu.au/wps/wcm/connect/d5e591b6-a549-4700-9f1e-5960913f6b60/mathematics-advanced-ext1-ext2-reference-sheet-nov2019.pdf?MOD=AJPERES&CVID= Compound Angles section. Ask if you want a derivation

That's just the difference of 2 squares, so a^2-b^2 = (a+b)(a-b) Here my stupid face was trying to simplify sin^(27)(θ)-sin^(24)(θ)

This is actually so insanely big-brained it isn't funny. I mean for God's sakes he generalised the damn thing and still had less working than a conventional solution.

Huh. I have no idea. Just on a most basic physics level, I have no idea how they got that answer. This should be extremely simple - a projectile launched directly up then experiences gravitational acceleration. Just by s = ut + (at^2)/2 (Which should apply in this situation in calculating the...

247 goddams 6 - God Damn 8 - Swear to God 2 - I wish to God Ban it from the syllabus.

NVM just realised how much of an idiot I am - can just differentiate implicitly to find the answer LOL

Cambridge Math 9E Q13 I have no idea how I am supposed to even attempt b - I tried: db/dt = (dx)/(dt)*(da)/(dx)*(db)/(da) and dx/dt = dx/da*da/db*db/dt But it gets way too ugly,

Firstly, work backwards from the acceleration. Integrate the acceleration then sub in Time = 0, velocity = 60 to find the specific solution. Integrate again, and find specific solution with Time = t, Displacement = x to find the formula for displacement. This should be a quadratic. After this...

My deepest apologies - I will update my post accordingly

I love BOS for this reason - you got threads deeply discussing the fundamental question of earth by a man whose icon is batman in a flat cap and threads that have randoms like me so damn happy they proved their English teacher was an idiot. Never change. I also am an avid believer in Pascals...

Why do you mention NSW State debating? Just asking, since I myself am an avid debater.

I'm sorry but I just cannot gloss over the fact that this man did 4 math 4 English Phys Eco Legal and Music 2. He is more machine than human! The only person I know who could hold a candle to that is a guy I knew who did 4 math 4 English Eco and Modern history, or the dude who did 4 math, Phys...

What was said is that you use this formula to solve for 1 + x + x^2 + x^3... x^n - say this is A Then after summing this, you derive both sides. On the LHS, you get: 1 + 2x + 3x^2 + 4x^3 + .... (What the question asks) On the RHS, you get the derivative of A. That is your answer. EDIT - Yeah, I...

Why does there have to be a common difference if you take the sum of a geometric sequence?

You can, since it is a method of proof, as long as it doesn't specify something else. Usually though, if it is to be solved by induction it will mention induction, so maybe have a look at other methods before then. If you do use induction though, from experience, markers will try as hard as they...