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y = 2 ^ x

take ln of both sides

ln( y) = ln (2 ^ x)

using the log rules we can bring the power of x down in front of the ln

ln( y ) = x*ln(2)

differentiate both sides wr...

This is a long answer (6 mark) question, which means you need to demonstrate your written communication of scientific ideas.

The first thing I would do in a question is identify the key words.

We first notice we have a linear and non linear equation. The simplest method to solve is to substitute the linear equation into the non linear equation and then solve for one of the unknowns. Then substi...

We first build an intuition for exactly what acceleration is and what we expect to happen. In the uniform gravitational field approximation, we assume h to be much less than the radius of the Earth. There...

That is a very good question, as both describe actions of the past. We use the preterite tense when we talk about actions which are seen as being completed in the past, notably one-off events. For example...