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A curve has the equation y=sin(x)cos(x), find the gradient of this curve when x = pi. (4 marks)

Option 1 - Differentiate using product rule giving dy/dx = cos 2 (x) - sin 2 (x). (2 marks) Subbing in x as pi (1 mark) then gives (-1) 2 + (0) 2 . Therefore the gradient is 1 (1 mark) . Option 2 - Initially...
MD
Answered by Mark D. • Maths tutor
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Iqbal Khan’s production of Othello (2015) breaks with tradition in casting both Othello and Iago as black men - in what way does this shift the emphasis of the play?

Often dubbed a 'race play', Shakespeare's 'Othello' usually pits the jealousy of a white man against the success of a Moor, illustrating the destructive consequences of racial intollerance. Khan's casting de...
MM
Answered by Michael M. • English tutor
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Explain the general trend in first ionisation energy across period 2 in the periodic table.

Across period 2, the nuclear charge increases from Li (3+) to Ne (10+) as protons are added to the nucleus. - The electros are removed from the same main energy level and electrons in the same main energy le...
EA
Answered by Eyad A. • Chemistry tutor
30614 Views

If a ball is thrown on the Moon, the projectile would have a greater range than if it were to have been thrown on Earth. Why is this the case?

The Moon has a lower gravitaional field strength than the Earth, and it does not have an atmosphere. The lower gravitational field strength means that there is lower acceleration, which results in an increas...
TD
12957 Views

Explain, with the help of diagrams, the effect of an increase in the price of petrol is likely to have on (i) The market for cars. (ii) The market for coal.

The petrol market over the past decades has had many price fluctuations and it is important to understand that changes in the price of petrol can have significant effect in other markets such as the market f...
AS
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