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    Mathematical Induction Algebra simplification?

    So usually for mathematical induction after you assume true for any integer k, and then you try and prove for k+1, and sub in the RHS, it's some easy algebra manipulation and they end up being equal. I don't know why but I've been staring at this question for 20 minutes and I can't seem to be...
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    Complex number help!!

    I don't know why but I keep doing this question but I keep getting the same wrong answer. The question is: Using Euler's formula, e^(ix) = cosx + isinx, show that if z=re^(ix), then: 1/z +1/(conjugate of z) = 2cosx/r^2 For some reason, I keep getting LHS = 2cosx/r instead of 2cosx/r^2
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    Free Tutoring Year 9-11 Chem, Phys, Math Adv, Ext 1

    Hello! I am offering free tutoring for physics, chemistry, math advanced and ext 1 for year 9-11, via discord (preferably) or email. I am just started year 12 this term. I am currently doing physics, chemistry, math ext 2, economics. During my free periods and lunch time I usually help my...
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