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    Polynomials and Induction help

    I need help with these 2 questions, one is on polynomial and the other is induction. 1. A polynomial is given by f(x)=(x-7)^2 Q(x). Show f(-1) =f'(-1)=0 2. Prove by induction -4 + 8 - 16 +...+4(-2)^(n-1) = [4(-2)^n -1]/3 for all n>or equal to 1 Cheers,
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    Calculus question!

    Hey, I'm in year 10 right now, so forgive the lack of knowledge :p Question 1: The curve y=root(x-3) has a tangent with gradient 1/2 at point N. Find co-ordinates for N Question 2: The function f(x) =3rootx has f '(x) =3/4 evaluate x Thanks!
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    what school?

    Hi there, I'm thinking of changing schools for year 11 and 12, my current school is ranked around 200s. I was wondering if you guys have opinions on what are some good selective school options, I'm located in the Sutherland shire. My report from half yearlies was alright, stuffed up tbh...
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