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Integrate cos^2A

Integrating sin^2A and cos^2A is a bit nasty so we can use double angle formula to make it a little simpler. cos2A = cos^2A - sin^2A = 2cos^2A - 1. We can rearrange to get cos^2A in nicer terms. cos^2A = ...

RM
Answered by River M. Maths tutor
4525 Views

The rectangular hyperbola H has parametric equations: x = 4t, y = 4/t where t is not = 0. The points P and Q on this hyperbola have parameters t = 1/4 and t = 2 respectively. The line l passes through the origin O and is perpendicular to the line PQ.

This question asks us to find the cartesian equation of l.
First we must find the points P and Q. To do this we substitute t with 1/4 to find P and substitute t with 2 to find Q.Doing this we get the...

LB
3395 Views

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
14719 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
2696 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
3017 Views

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