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A curve has parametric equations x= 2sin(t) , y= cos(2t) + 2sin(t) for -1/2 π≤t≤ 1/2π , show that dy/dx = - 2sin(t)+ 1

A parametric equation is where both x and y are expressed separately, in terms of a parameter (t). In order to differentiate them we must use the chain rule, which here would be dy/dx= dy/dt ÷ dx/dt. The ...

KL
Answered by Katie L. Maths tutor
14005 Views

What are the different hypothesised methods of DNA replication.

There are 3 types: conservative, semi conservative and dispersive.conservative entails the original DNA strand remaining intact with a whole newly synthesised DNA strand being formedsemi conservative enta...

RF
Answered by Ronan F. Biology tutor
2345 Views

Work out the angle between the two tangents of the curve y = sin(x) at y = 0 and y = 1

First we take the derivative of the function, this gives us dy/dx = cos(x)
Now we work out the different x values for y = 0 and y = 1.
sin(x) = 0 => x = 0, sin(x) = 1 => x = pi/2 (90 degre...

KJ
Answered by Kieran J. Maths tutor
1235 Views

Explain how a fall in interest rates would affect aggregate demand (5 marks)

Aggregate Demand is equal to Consumption + Investment + Government Spending + (Exports - Imports).
When interest rates fall, saving becomes less profitable, as consumers will receive a smaller addit...

RS
Answered by Rajiv S. Economics tutor
2492 Views

What is Civil Law?

When talking about the law, often people would associate it with the police or committing crimes. However, this is just one side of Law known as criminal law. Civil Law is another side of Law which does n...

SM
Answered by Shannon M. Law tutor
4978 Views

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