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(C3 question). Find an expression for all stationary points on the curve y=sin(x)cos(x). How many such points are there and why?

Stationary points are points at which the gradient of the curve is zero. The gradient is given by dy/dx so we start by computing this using product rule to give us dy/dx=-sin 2 x+cos 2 x. Notice that this is...
TG
Answered by Tristan G. • Maths tutor
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(FP3 question). Integrate 1/sqrt(3-4x-x^2).

There are two stages to this integral. Stage 1: Notice that there is a quadratic inside a square root in the denominator. We wish to look for a substitution which will reduce this problem to a known integral...
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Answered by Tristan G. • Maths tutor
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To what extent was the media responsible for the changes in levels of public confidence in government in the years 1929-1981?

The period of 1929-1981 sees America fall from grace in economic collapse, rise to fight a devastating second world war and reinvent itself as the representation of Western values in the first major proxy wa...
EC
Answered by Emily C. • Politics tutor
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What are the elements to the crime of Theft

The offence of Theft is defined in s1 of the Theft Act 1968 as a 'dishonest appropriation of property belonging to another with the intent to permanently deprive the other of it'. The Mens Rea of Theft is 1)...
PS
Answered by Polly S. • Law tutor
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An electromagnetic wave has a wavelength of 3.0m and a speed of 3x10^8 m/s. State what type of radiation this wave is and calculate the period of the wave.

For the first part we know that the wavelength is over 1.0 m so it is a radio wave.To find the period we first find the frequency as the period is the reciprical of the frequency. (T = 1/f).To find the frequ...
AP
Answered by Anna P. • Physics tutor
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