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Integrate 5cos(3x - 1) with respect to x

Firstly, we may simplify the expression by factoring out any constants. In this case 5 can be factored out. 5 ∫ cos(3x-1) dx For the integrand cos(3x -1), we can use a simple u-substitution. Where u = 3x -1 ...
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Answered by Rian M. • Maths tutor
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Bacteria can develop resistance to antibiotics. Explain how this may be prevented.

The overuse and misuse of antibiotics promotes antibiotic resistance. A common misconception is that antibiotics can be used to treat colds and the flu, which are actually caused by viruses. Therefore, by re...
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Answered by Max T. • Biology tutor
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When do I use être and when do I use avoid as the auxiliary in the perfect tense?

The auxiliary verb is equivalent to the english "have" in tenses such as "I have eaten", for example. "J'ai mangé. This verb agrees with the subject. 2) The normal auxiliary for verb...
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Answered by Lucy P. • French tutor
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Translate into English: equum lupus celeriter cepit.

As ever, the first step is to find the subject, verb and object of the sentence. The subject is in the nominative case, the object in the accusative case and the verb will agree with the subject in number. I...
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Answered by Richard C. • Latin tutor
5371 Views

Solve the equation x^2-x-56=0

The first step in this solution is to factorise the equation we have been given into the form (ax+b)(cx+d)=0, where a, b, c and d are constants which we need to determine. If we were to expand the brackets w...
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Answered by Richard C. • Maths tutor
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