Search our library of Maths questions

Top answers

Maths

All levels

The line AB has equation 3x + 5y = 7. Find the gradient of line AB.

First, let's make y the subject of the equation.

Let's achieve this by having only y on the left hand side of the equation. To do this we need to minus 3x from both sides of the equation. This leav...

Answered by Tom O. • Maths tutor

5529 Views

Solve 5x – 2 > 3x + 11

Let's temporarily replace the inequality sign ">" with "=".

This gives us: 5x - 2 = 3x + 11.

If we subtract 3x from both sides we are left with:

2x - 2 = 11.

Answered by Tom O. • Maths tutor

19939 Views

The volume of liquid in a container is given by v=(3h^2+4)^(3/2)-8, find dV/dh when h = 0.6

Chain rule: dV/dh=9h(3h^2+4)^(1/2)
sub in h=0.6 , dV/dh = 12.17

Answered by Johnny H. • Maths tutor

8961 Views

Given that y=(4x^2)lnx, find f"(x) when x=e^2

Product rule: first order derivative = 8xlnx+4x Second order derivative = 8lnx+12 Sub in e^2 , 16lne + 12 = 24

Answered by Johnny H. • Maths tutor

5149 Views

Textbooks are stored on 2 shelves. Each shelf is 0.72m long and each textbook is 30mm wide. Can 50 textbooks be stored on these 2 shelves?

First off, we better convert the 30mm into m. Now, we know that in 1cm there are 10mm. So in 2cm, there are going to 20mm and in 3cm there are going to be 30mm. So each textbook is really 3cm thick. Now, ...

Answered by Jack D. • Maths tutor

9129 Views