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Why do the trig addition formulae work?

Try differentiating:sin(x)cos(z-x)+cos(x)sin(z-x)with respect to x and for constant z, then simply the derivative you deduce, then integrate throughout the simplified equation. See what happens!

Answered by Maths tutor
2792 Views

Do the SUVAT equations work for acceleration that changes with time?

It depends on how much it changes. For instance, if some object does undergo as good as makes no difference constant acceleration, then the SUVAT equations apply quite well to the circumstances a...

Answered by Physics tutor
2902 Views

Why does 'x' need to be in radians to differentiate 'sin x'?

There are two definitions of the sine and cosine functions that anyone who uses contemporary maths, and I do mean anyone, uses silently or otherwise. The first is as follows:'Rotate the point (1,0) in Euc...

Answered by Maths tutor
5597 Views

Pathogens are disease-causing organisms which can infect humans. Bacteria and viruses are two examples of pathogens. Explain the differences between bacteria and pathogens and give an example of each.

Bacteria:Contain naked DNAHave a cell wall, membrane and organelles - RibosomesAre cellsLarger than virusesCan survive without living ho...

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Answered by Tabitha G. Biology tutor
2355 Views

Differentiate y= (6x^2 - 5)^(3/2) with respect to x

Simplify the equation to y=u3/2 where u = 6x2 -5Use the chain ruledy/dx = dy/du x du/dxdy/du = (3/2)u1/2du/dx = 12x - 0Therefore dy/dx = (3/2)u1/2 x 12xBut u = ...

Answered by Maths tutor
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