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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...

LP
Answered by Louis P. Maths tutor
5277 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...

NP
Answered by Nicole P. Psychology tutor
2512 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-...

LP
Answered by Louis P. Maths tutor
5536 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...

MO
6417 Views

How do you form a relative clause in German?

Relative clauses are used to add extra information about a person, thing or event to a sentence, such as the bold part of this English sentence: The man who loves fast cars always drives ...

RM
Answered by Rebecca M. German tutor
1889 Views

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