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RTP: 2^n + 3^n =/= 5^n is it possible to do by induction? any help appreciated thanks

hey, just encountered an issue with induction when testing the base case n=2 given n>=2 i thought it was only if n=1 we test the first value 1/2^2, but since n>=2, we test n=2 which includes the first 2 terms 1/2^2 + 1/3^2 but this isn't the case with HSC solutions, eddie woo includes the...

hi, is it possible to solve this question without finding all 6 roots and converting them to polar? thanks

hey BOS, does anyone have a set of rules for graphing the integral or derivative of original function f(x) without knowing the formula, with just the graph given thanks in advance

hey users, just got a question about strong induction for the assumption case, what would be the condition to assume n=<k or assume n=k, and what is the difference and would we lose marks for using wrong one? also, would we ever need to assume/prove n=<k+1 thanks

hey guys, can anyone solve this hard Q? thanks in advance

hey all, found this hard proof question, can anyone help me thanks in advance

gday y'all, what's the quickest way to do this? also can someone explain this: solutions show k=0,1,2,3,4,5,6 but this is out of the restriction as -pi=<theta=<pi, correct results would be k=0,+/-1,+/-2,+/-3 ? thanks in advance