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1/(1+2x) dx = 4e^(-2t) dt      Integrate both sides:   ln[2/(1+2x)] = -8e^(-2t) + c      input x = 1/2, t = 0:  ln(2/2) = -8*(1) + c        ln 1 = 0,  so c = 8ln[2/1+2x] = 8[1-e^(-2t)]

Double angle formula:Sin(2x) = 2sin(x)*cos(x)==> 2sin(x)*cos(x) = (1-sin(x))*cos(x)       (2sin(x)-1+sin(x))*cos(x) = 0(3sin(x) - 1)*cos(x) = 0     i) cos(x) = 0,  ii) 3sin(x) = 1 ==> sin(x) = 1/3  ...

Getting above 40 at first can seem like a difficult task, but is more than possible. Regarding a literature response, if possible short and simple quoting can be helpful however not vital. A simple quote ...

Supervenience is the relationship between two different kinds of facts (or properties) such that A type supervenes on B type if and only if there cannot be a change in A without a change in B. To illustra...

After having read Shakespeare's 'Othello' it becomes apparent that love is an extremely predominant theme. Where the eponymous character (Othello) and his wife (Desdemona) are concerned, the notion of lov...