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C + iS = (acos(x) + a^2cos(2x) + a^3cos(3x) + ...) + i( asin(x) + a^2sin(2x) + a^3sin(3x) + ...)

= a(cos(x) + isin(x)) + a^2(cos(2x) + isin(2x)) + a^3(cos(3x) + ...

I would make sure the student new the difference between simple and compound interest to begin with. I would then explain the formula for compound interest and how it works normally. The formula is p(1+m)...

A halogenoalkane is a saturated hydrocarbon chain with a halogen atom (F, Cl, Br or I) attached to a carbon instead of a hydrogen. Halogens have a greater electronegativity than carbon. This means they dr...

We need to get the quadratic expression into the form (x + a)(x + b). If we expand this expression using FOIL, we see that the resulting expression is x² + (a+b)x + ab. We can now find a and b ...

Increase the powers of all variables by one and then divide them by this number. For example, given 3x^3 + 5x^-0.5 - 8 , this would give 3/4x^4 + 10x^0.5 - 8x