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also 14c i) and ii) xD. im stuck for i) asI expanded (a+b)^3 >= 0 but idk from there

How would you do d(ii)?

How would u do these 2 qurstions? Agagin idk where to start

Why must n be divisible by 2 if n^2 is divisible by 2? Also, does this apply to irrational numbers and variables? I.e. if n^2 is divisible by p then n must be divisible by p.

wdym not reflective of the graph? Like should decrease in concentration drop harder for Z in c or something?

Answer is D but why can't it be C?

How would you do both these questions? I don't know where to start

Thank you! it did

For a and b, I try to modulus both sides and then substitute but get back where I started. How would you do these types of questions?

Yes thank you!

Unsure how to word part a and for part b, I don't know where to start kinda. I tried to substitute and other methods but got nowhere

Just not sure where to start. I wrote out equations where i let a and b be some arbitrary vector and got nowhere.

I've tried to brute force it by distance formula, properties of a parallelogram and finding each point separately and got no success. Would there be a more elegant way of solving this question? Thanks :)

Thank you! this rlly helped and now my brain isn't fried :)

How would you find u-v? I tried this and I got nowhere. I keep ending up with a trig function i cant evaluate. Answer is √5

How would you even determine the graph of the emf v t just based on transformers?? The answer is C

The answer is D. I'm confused on how they arrived at the answer and how actually to determine rotation just based on the charges?

i can do a but i dont know where to start for b. Same with c

ya it is cambridhe. I also have another question: Just iii.

im not sure how you would do c given b. I initially thought just base off of inspection that there would be a substitution involving cis or cos theta but its hard for me to tell what to substitute. Or there's just no substirution