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First we remember that sinθ can be expressed in terms of powers of z, where z=cos(θ)+isin(θ), using the following:2isin(nθ)=zⁿ-z⁻ⁿ and 2cos(nθ)=zⁿ+z⁻ⁿ
so, [2isin(θ)]⁴=[z¹-z⁻¹]⁴ 16sin(θ)=(z)⁴(-z⁻¹)⁰+4...

Prokaryotic cells (bacteria) are exclusively unicellular whereas eukaryotic cells can display attributes of both multicellular and unicellular of a bigger and more complex structure. Eukaryotes are disti...

Find x.2(x+3) + x+4 = 163x + 10 = 16x = 2So: AB = 5cm, BC = 5cm, AC = 6cmThen use '0.5 x base x height' to find area.Base = 6Height use Pythagoras: 5^2 - 3^2 = x^225 - 9 = 16x = 40.5 x 6 x 4 = 12cm^2

Action potential reaches pre-synaptic knob.This stimulates voltage gated Ca2+ channels to open and Ca2+ to diffuse in.This causes vesicles containing ACh to bind to the pre-synaptic membrane and release A...

In order to integrate ln x you have to use integration by parts, even though it appears there is only one term to be integrated. We get around this by instead writing it as (ln x)(1), where we treat the 1...