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I have no clue. ...

How did everybody go in that exam. I found it really hard...

Alright, I've got another question: \\\text{1) Let }A\text{ be a }5\times 4\text{ matrix with real entries and let }\textbf{b }\text{ be the second column of }A.\text{ It is }\\\text{given that }\textbf{Ax = 0}\text{ has the general solution }\\\textbf{x}=\mu(1,2,2,1)^T,\mu\in\mathbb{R}...

Found it, that's a typo. Because, in the first part, where they actually ask you to find the Simpson's approximation, they take h = 1. Which is only possible if n =2

which past paper is it? what year?

Pretty sure n=2. Remember it is to the power of 4 what question no. is it in the red booklet?

Thanks so much InteGrand for clearing that up. Yeah I knew that x and u are dummy variables, but I couldn't translate my understanding in my previous answer, I guess substituting u and v indeed make the notation a little less chaotic lol... How would you do this one? \\\text{(i) a) Find...

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Would this be valid then? \frac{\mathrm{d} }{\mathrm{d} t}f(tx,ty) = \frac{\partial f}{\partial u} \frac{\partial u }{\partial t} + \frac{\partial f}{\partial v} \frac{\partial v}{\partial t}\\\text{letting }u = tx,v=ty\\ \frac{\mathrm{d} f}{\mathrm{d} t} = x \frac{\partial f}{\partial u}...

Could you please give an example with ƒ1?

Yeah, it's just a simple application of the chain rule...I guess

Wait, wat. Would my method be valid, or have I got it all wrong?

Can't you just do it like this?: \\\frac{\mathrm{d} }{\mathrm{d} t}f(tx,ty) = \frac{\partial f}{\partial x} \frac{\partial x }{\partial t} + \frac{\partial f}{\partial y} \frac{\partial y}{\partial t}\\\text{and so }\\ \frac{\mathrm{d} f}{\mathrm{d} t} = x \frac{\partial f}{\partial x} + y...

Wtf?

Your last sentence sort of contradicts the rest of your answer. As you said, accretion is the process of matter being attracted towards each other due to gravity. This continues until the matter gets so close and compact that it starts to fuse together to make stars, planets etc. But, your last...

Wow thanks! Here are some more, I have no idea what to do: \\\text{(i) A function }f(x,y)\text{ is said to be homogeneous of degree }n\text{ if }f(tx,ty)=t^nf(x,y)\text{ for all }t>0.\text{ Show that }\text{ such a function satisfies the equation }\\x \frac{\partial f}{\partial x}+y...

Thanks :) Since I have exams coming up in a week :confused2: please excuse pile of questions I am hurling towards you IG :P \\\text{(i) Regulatory authorities have developed a method for detecting illegal share trading.}\\\text{When a trade is illegal, the method detects it 99} \%\text{ of the...

Could you direct me to which thread you asked Q61 on?

1. 2KClO3 (s) --> 2KCl (s) + 3O2 (g) 2. 2Al(s)+ 6HCl(aq) --> 2AlCl3(aq) + 3H2(g) 3. H2S(g) + O2(g) --> SO2(g) + H2O(g) 4. Done by yourself

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