Search our library of homework questions

Top answers

All subjects

All levels

A curve has equation y = e^(3x-x^3) . Find the exact values of the coordinates of the stationary points of the curve and determine the nature of these stationary points.

In order to find the stationary points we need to find the first derivative, set it to 0 and solve for x. We can then use this value to find the value for y.y = e^{(3x-x^3)}We know for the derivat...

Answered by Philip M. • Maths tutor

5473 Views

Solve 7x + 6 > 1 + 2x

To solve a question we want to get the x terms and one sides, the variables, and the numbers on the other side, the constants.7x + 6 > 1 + 2xSubtract 2x from 7x so we only have x terms on the left hand...

Answered by Philip M. • Maths tutor

3023 Views

Chloe has 3 pieces of wool. One piece is 160mm long, another is 26cm long and the last piece is 0.45m long. What is the total length of wool, in centimetres, that Chloe has?

The question is asking us to give our answer in centimetres, so the first step to solve this problem will be to convert all the lengths into centimetres. 1cm = 10mm so 160mm = 160/10 =

Answered by Fizza A. • Maths tutor

3235 Views

Write x^2+4x-12 in the form (x+a)^2+b where 'a' and 'b' are constants to be determined.

This question is asking us to complete the square. To find the value of a we must halve the coefficient of x. So, in this question: a = 4/2 = 2. To find the value of b we...

Answered by Fizza A. • Maths tutor

8126 Views

I think of a number. I multiply it by 3 and then subtract 5. I get an answer of 16. What was the number I first thought of?

This question is asking us to work our way back and find the original number. We can refer to this number as 'x'. If we multiply x by 3 we get 3x. The next step is to subtract 5, so our equation now is 3x...

Answered by Fizza A. • Maths tutor

18388 Views