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How do you determine the nature of a graphs stationary point? e.g y = 1+2x-x^2

We have our function of y = 1+2x-x² The gradient of a stationary (or turning) point is 0, in essence a peak or a trough. In order to determine the gradient, we need to differentiate our ...

Answered by Joseph A. • Maths tutor

10893 Views

How do motor neurones work?

(using diagram of synapse between relay and motor neurone)

This is the relay neurone and this is the motor neurone, the gap in between the neurones is called the synapse. Information is passed from...

Answered by Hebe W. • Biology tutor

3178 Views

What does the character 'Cyrano' symbolise in Cyrano de Bergerac and why is this important in the socio-historic context of the play?

Cyrano first and foremost symbolises the French spirit, or 'l'esprit français'. He represents the fighting spirit of France, with his nobility and honour. He is skilled with both his words and in battle -...

Answered by Sophie P. • French tutor

2415 Views

Compare and contrast the causes of Type 1 (insulin-dependent) and Type 2 (noninsulin-dependent) diabetes mellitus

Type 1 diabetes mellitus occurs when the body's immune system attacks beta cells within the Islets of Langerhans, in the pancreas. The immune system recognises pancreatic self-antigens as foreign and begi...

Answered by James L. • Biology tutor

7529 Views

Show that 12 cos 30° -2 tan 60° can be written in the form square root k where k is an integer.

FIrst of all we need to understand how cos 30° and tan 60° are found. Let's think of an equilateral triangle, all three angles of the triangle are equal and 60° and each side has length 2. Let's half the ...

Answered by Asia-Marie C. • Maths tutor

10740 Views