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In order to find the points where these functions meet, we can equate them to get 3x-2 = x^2+4x-8 .

Subtraction (3x-2) from both sides, we get x^2+x-6 =0 which we can factorise to get (x+3)(x-2)=0<...

For English Literature exams and coursework, some exam boards may include incorporation of context in their marking criteria. This is certainly the case at A Level, and perhaps to a lesser extent at GCSE....

Wenn ich an mein zukünftiges Traumhaus denke, denke ich an ein großartiges Haus mit Balkon, Schwimmbad und meinem eigenen Kino! In meinem Haus würde ich mit meiner Familie und meinem Hund wohnen, da ohne ...

We have a "fraction" which we wish to differentiate, so we use the quotient rule with u=sin(x) and v=cos(x).

This means that d/dx of u/v = (vdu/dx - udv/dx)/(v^2).

y = cos(x)/sec²(x) = cos³(x)

y = cos(x)(1-sin²(x)) = cos(x) - cos(x) sin²(x)

-> sin(x) - sin³(x)/3 + c