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Using Vieta's formulas, which make the correspondence between the sums and products of the roots of a polynomial and its coefficients, we can deduce that a + b = (-8)/2 = -4, ab = 1/2 =0.5 and a^2 ...
A geometric series is a series with a constant ratio between successive terms.
An inverse function is a function that "reverses" another function. That is, if f is a function mapping x to y, then the inverse function of...
The question gives you a hint on how to go about this question - Factorise!!
1) Factorise the left hand side. Find the two numbers which will add to give -8 and multiply ...
To answer this question you need to use the quotient rule. dy/dx = (vu' - uv')/v2.
U = cos(x) which differentiates to -sin(x) so u'= -sin(x)
v = x...
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