factor, Mathematics

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27-125 a power -135a +225a power2

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sin(2x+x)=sin2x.cosx+cos2x.sinx              =2sinxcosx.cosx+(-2sin^2x)sinx              =2sinxcos^2+sinx-2sin^3x             =sinx(2cos^2x+1)-2sin^3x =sinx(2-2sin^2x+1)-2sin^3

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Examples of logarithms: log 2   8 = 3                                            since    8 = 2 3 log 10   0.01 = -2                                    since    0.01 = 10

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If A & B are (-2,-2) and (2,-4) respectively, find the co ordinates of P such that AP =3/7 AB and P lies on the line segment AB.

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solve the in-homogenous problem where A and b are constants on 0 ut=uxx+A exp(-bx) u(x,0)=A/b^2(1-exp(-bx)) u(0,t)=0 u(1,t)=-A/b^2 exp(-b)

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