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On the 19^th of February 1861 Tsar Alexander II signed into law the statues abolishing serfdom in the Russian Empire. This directly affected 22,557,748 peasant men, women and children, and aroun...

To find an extreme point of a function you must first take the derivative of f(x) with respect to x.
As the function will peak/trough at the extreme point, the gradient at this point will be equal to...

(a)To find the turning points of a curve, need to solve dy/dx=0. Using the quotient rule one can differentiate y:y=f(x)/g(x) dy/dx=(f'(x)g(x)-f(x)g'(x))/(g(x))²f(x)=3x, f'(x)=3, g(x)=(9+x^2...

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!

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...