Difficult Maths

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Explain why this is true

How to remember, with roots of polynomials, what each coefficient corresponds to?

The roots of x^3-x-1=0 are \alpha, \beta, \gamma. Find the value of \alpha^5 + \beta^5 + \gamma^5.

Commutative vs Associative

How to tell what way around to multiply the inverse matrix?

Find the inverse of this 3×3 matrix

What is wrong with the approach, assign the max of the absolute to be 2 and the min to be -2 then solve the equation?

Formulae needed when summing different types of series for ESAT?

Integrating trig functions

Integrating exponentials

Integrating powers

\frac13\tan\left(3x\right)

Differentiate tan(x)

Find the 2nd derivate of x=cos(2t) and y=sin(t)

Differentiate 5^x and 3^{4x}

Differentiate 7^{3x^2 + 3x}