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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...

The first step is to calculate how many moles of iron and oxygen react together. Remember that moles = mass (g)/Ar (relative atomic mass). Given that the Ar of iron is 56 and the Ar of oxygen is 16, the m...

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...