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hi, i have a solution but im not sure if it's correct. could somebody do it and show me what they get? thanks shade region where both | z-(1+i) | <= sqrt(2) and where 0 <= argz <= pi/2 hold simultaneously ii) find the exact perimeter and area of the shaded region

z^4 = 1.....easy to solve......got that done hence solve: z^4 = (z-1)^4 please advise thanks nb: i attempted to solve it this way; z^4 = 1...so (z - 1)^4 = 1 therefore (z - 1)^2 = +-1 therefore..z - 1 = +-1, +- i z = 0, 2, 1 + i, 1 - i

this may be obvious to some..but im not seeing it x^2 - x + k = 0 it has two distinct positive real roots question is to show 0 < k < 1/4 i can do this by showing the discriminant is > 0 to show it has two distinct positive real roots...but why is it greater than zero? is it...

hi all these questions came from the resources, there are solutions but they aren't worked and i cant seem to get out a few. so if anyone can have a crack and explain to me their solution that would be cool 1) Given that there is a constant c such that (x4 + y4) = (x² + cxy + y²)(x² - cxy +...

Hi, I'm in year 11, current subjects are: IPT SDD Art Maths + Ext 1 Physics Eng. Adv Catholic Studies I intend to pick up an extra unit of maths, but i'm not really keen on doing 14+ units during my HSC year, that's just pointless. I'm currently topping IPT, SDD and Art and doing quite well...