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The differential of a function is is rate of range of that function. Therefore to find dV/dt, we are finding the rate of change of the volume per unit time.Recall, in order to differentiate a term, e.g. x...

Ok, so the reason we need the Pythagoras theorem is to work out the length of missing side given we know the other 2 sides in a right-angled triangle. (Would go on to draw the triangle with the known side...

This is an example of a question where we would have to use the product rule for differentiation, because we have two functions multiplied together ( x and ln(2x) ).If we have: y = uv, where u and v are f...

The area of a kite is the (product of diagonal lengths)/2.A = (12 * 6)/2A = 36cm^2

We have 8x + 9y = 3 [1] and x + y = 0 [2].We can make x or y the subject. Take y as subject we have y = -x [3].We substitute [3] into [1] and get 8x - 9x = 3 --> -x = 3 --> x = -3.Substituting x = -...