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Firstly we can use the fact that cosx is the real part of e^ix. This means that the series above is the real part of the infinite series 1 + 1/2e^ix + 1/4e^2ix + ...... This means that we have an infinite ge...

Start by determining dot product. a.b = 1x0 + 4x6 + 8*-3 = 0as a.b = |a||b|cos(theta)cos(theta) = 0therefore theta = 90 degTherefore vectors are perpendicular

Stereoisomers are molecules that have the same structural and molecular formula but a different arrangement in space. An example of a common group of stereoisomers is from molecules with a carbon to carbon d...

One way to guarantee a more textural piece is to start building up your surface before the paint has even touched it, using mixed media. You might tear up paper or cardboard and stick it to your surface, for...

It can be argued that Bronte depicts religion as a force potent enough to deprive mankind of humanity. This is perhaps most apparent in the case of St John Rivers, who is shown to reject his wild love for Mi...