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Express cos2x in the form a*cos^2(x) + b and hence show that the integral of cos^2(x) between 0 and pi/2 is equal to pi/a.

Apply the double angle formula to cos2x to yield the requested result.
cos2x = 2cos^2(x) - 1
Spot that the question asks us to prove the value of cos^2(x) when integrated, and that we can move t...

Answered by Louis P. • Maths tutor

5216 Views

Outline 2 variables which may impact obedience.

There are a variety of variables that impact obedience. For example, external or situational variables could include the presence of a uniform being worn by the authority figure, this has been shown to in...

Answered by Nicole P. • Psychology tutor

2485 Views

Solve the differential equation dx/dt = -2(x-6)^(1/2) for t in terms of x given that x = 70 when t = 0.

First, manoeuvre variables so that we can integrate the equation.
1/(x-6)^(1/2) dx = -2 dt
Integrate the equation and add the constant.
2(x-6)^(1/2) = -2t +c
Solve for t.
t = -(x-...

Answered by Louis P. • Maths tutor

5499 Views

What is dramatic irony?

Dramatic irony is when you, the reader of the novel or spectator of the play, knows something that the characters do not. It is a literary technique mostly used in plays, and can take various forms.

Answered by Rebecca M. • English Literature tutor

23377 Views

Time is beautiful and ugly, compassionate and cruel. Ultimately, time gives and time takes away. In response to this view, explore connections between the ways in which Larkin and Duffy present their ideas about time.

With any question that has several parts to it, it is important you address them all. Here you would need to explain if and how time is beautiful. ugly, compassionate and cruel, as well as state whether y...

Answered by Marion O. • English Literature tutor

6365 Views