Search our library of Maths A Level questions

Top answers

Maths

A Level

How do I solve x^2 > 6 - x

To solve this question we want to find the range of values that x can be to make the statement true. First we must treat it like a normal quadratic equation and move all ...

Answered by Ben H. • Maths tutor

3471 Views

A circle A has equation x^2+y^2-6x-14y+54=0. Find a) the coordinates of the centre of A, b) the radius of the circle A.

The standard equation of a circle is in the form (x-a)^2+(y-b)^2=r^2, where the coordinates of the centre of the circle is (a,b) and the radius of the circle is r. Therefore, you must put the given equati...

Answered by Evelyn Q. • Maths tutor

3995 Views

How to do the product rule for differentiation

To do the product rule you must have two functions multiplied together. Here you must make one function be u and the other be v. The formula from this is uv’+vu’ where v’ and u’ are the differentials of t...

Answered by Daisy R. • Maths tutor

2656 Views

Differentiate xcos(x) with respect to x.

How do we know which method of differentiation to use in this example?
Well in ‘xos(x)’, we have 2 different functions: ‘x’ and ‘cos(x)’. Therefore, we must differentiate using the p...

Answered by Oliver S. • Maths tutor

4561 Views

A particle P is projected vertically upwards from a point 20m above the ground with velocity 18m/s, no external forces act on it other than gravity. What will its speed be right before it hits the ground? Give your answer to one decimal place.

To start off we should list what we have and what we want to find. The initial velocity u= 18 m/s (taking upwards to be the positive direction). Acceleration a= - 9.8 m/s² (negative since gravi...

Answered by Jenny N. • Maths tutor

4303 Views