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"Integration by parts" is one of several methods in our arsenal that we can use to integrate a function f(x). It involves expressing f(x) as the product of tw...

To find the roots, we solve the equation 3x² + 13x + 4 = 0.

We could try factorising the equation, which gives...

Surds are numbers left in 'square r...

y=6x-2

x²-4x+19

Both equations are equal to Y, hence can be substituted into each other;

6x-2= x^2-4x+19

Now we only have X terms in our equations

Br...

There are 12 + 8 = 20 beads in the bag in total.If sasha draws a bead at random then she has 8 chances out of 20 possible beads that the bead is blue. So the probability that the bead is blue is 8/20 = 2/...