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To find dy/dx, we must use a combination of the Product Rule and the Chain Rule.
If we let 3x^2=u and (x+2)^6=v, the Product Rule tells us that (uv)' = uv'+vu'
u'=6x, but to find v' we need to u...

There are several ways to solve a quadratic equation. 1.Quadratic formula ax² + bx + c = 0, where a can't equal 0 but b and c can.x = (-b± (b² - 4ac)) / 2a2. completing the square(x ...

A matrix is a linear transformation between vector spaces. Often we want to think about linear maps from an n-dimensional vector space to itself. When the vector space that we're mapping to and f...

This question is worth 4 marks and requires us to work with the information we are given. To set this up clearly, I would suggest drawing out a table with the three activities listed down the side and mal...

We will need a SUVAT equations, so first fill in what information we have:S = 0 (the point where the ball returns to the start)U = +15 m/sV = -15 m/s (from graph)A = -10 m/s (important that this is the op...