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Sketching trigonometric graphs is all about working from the graphs you already know and seeing how they behave when added/multiplied/substracted from each other to sketch more complicated functions.

[1 -2; -5 -4] determinant = {1 * (-4)} - {-5 * (-2)} = -4 - 10 = -14

A quadratic equation is an equations of the form:   ax² + bx + c = 0 (1)  where a is not 0. The ways of finding the roots are:  quadratic formula, factorising, substituting, completing the squa...

Integrate dy/dx = 2x/(x²-4).

We can answer this question using integration by substitution, where we set u = something in terms of x.

In this case we are going to set u = x^2<...

Rewrite (8-9x)^(2/3) as (8(1-(9/8)x)^(2/3)=4(1-(9/8)x)^(2/3). Now apply the C4 binomial formula in the formula booklet, so: 4(1 - ((9/8)x)^(2/3)= 4[ 1 + (2/3)*((-9/8)x) + (2/3)((-9/8)x)^2 .....]= 4[ 1 - (...