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First of all you must differentiate this function, as this will give you the gradient function necessary to find the gradient at the point (4,16). To differentiate it you use the formula dy/dx= a...

When attempting a source question, we must take a two-fold approach. The first step is to read it once or twice in order to gauge an overall tone and argument: ...

Using the chain rule:If the parameter used is 't', differentiate each equation with respect to 't' so that you have answers for dy/dt, and dx/dt.From the chain rule it is known that: "dy/dx=dy/du * d...

The bond angle is 104.5 degrees. This is because of the pairs of electrons around the oxygen atom: it has 2 bonded pairs and 2 lone pairs. Lone pairs and bonded pairs of electrons repel each other. Howeve...

Are we comfortable with an integral being the area under a curve on a graph? Well we'll draw a curve and think about how we could estimate this area. Would you agree that we could chop up the area under t...