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Maths
A Level

A curve C has the equation x^3 +x^2 -10x +8. Find the points at which C crosses the x axis.

Factorise: (x-2)(x+4)(x-1)

Set equal to 0: (x-2)(x+4)(x-1) = 0

Points are (2,0) (-4,0) (1,0)

WF
Answered by William F. Maths tutor
3296 Views

How to plot quadratic functions, e.g. F(x)= x^2 + 2x +1

What we require to plot this graph are the following: the general shape of the graph, the intercepts with the x and y axes and the maximum point/minimum point. All functions with x2 as the high...

AS
Answered by Alexandra S. Maths tutor
5374 Views

How do you solve simultaneous questions?

When an equation has two or more variables, for example and x and y, more than one equation is need to solve it.  The number of equations needs is equal to the number of variables you have.  For example, ...

ES
Answered by Elise S. Maths tutor
3597 Views

How do I calculate where a function is increasing/decreasing?

This depends entirely on the gradient of the function, which is calculated as (dy/dx).

At (dy/dx)= 0, the function is neither increasing nor decreasing, since the gradient is zero. The max number o...

SH
Answered by Steve H. Maths tutor
8069 Views

Prove or disprove the following statement: ‘No cube of an integer has 2 as its units digit.’

This is a very standard proof question for the C3 exam. The first thing that I would do when I see wordy proof statements like this is to make sure I understand what it means. Maybe writing out the statem...

TD
Answered by Thomas D. Maths tutor
6462 Views

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