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Why maths?

Maths has always been a passion of mine from a young age. I've always enjoyed helping others with their maths as I find it extremely stimulating.

Answered by Lauren C. • Maths tutor

4868 Views

How do you show that two lines do, or do not intersect?

How you should approach a question of this type in an exam
Say you are given two lines: L₁and L₂with equations and you are asked to deduce whether or not they...

Answered by George R. • Maths tutor

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How do you solve the simultaneous equations 3x + 4y = 5 and 2x – 3y = 9

We label each equation

3x + 4y = 5 (1)

2x – 3y = 9 (2)

We now want to get rid of one of the variables (x or y). Lets get rid of x:

Answered by Sahiti S. • Maths tutor

41423 Views

If x = cot(y) what is dy/dx?

Here we will use:

cot(x) = cos(x)/sin(x)

cosec²(x) = 1 + cot²(x)

Chain rule : dy/dt * dt/ dx = dy/ dx

Product rule : d/dx (...

Answered by Sahiti S. • Maths tutor

28252 Views

dy/dx represents the gradient of a curve. The d represents an infinitesimally small range so it is essentially as though you are doing change in y over change in x like you would for a y = mx +c graph ...

Answered by Madeleine D. • Maths tutor

41077 Views