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Find the x-coordinates of any stationary points of the equation y = x^3 - 2x + 4/x

y = x^3 - 2x +4/x, dy/dx = 3x^2 - 2 - 4/(x^2) = 0 at the stationary points, 3x^4 - 2x^2 - 4 = 0, substitute in u for x^2: 3u^2 - 2u - 4 = 0, use the quadratic formula: u = (-(-2) +- sqrt((-2)^2 - 4 3 (-4)))/...
Answered by • Maths tutor
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60 students were taking a Maths, Physics or Chemistry exam. 38 of the students were male. 11 of the 32 students who were taking the Maths exam were female. 8 males were taking the Physics exam. 12 students were taking the Chemistry exam. One of the fe

60-38 = 22 females 32+12=44 students taking the Chemistry and Maths exam. Therefore 60-44=16 students were doing the Physics exam, so 16-8= 8 females were taking the Physics exam. This means that 22-11-8 =3 ...
HB
Answered by Harry B. • Maths tutor
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When should you use the imperfect rather than the pasado compuesto?

The imperfect tense is used to describe things that were ongoing in the past for example:Cuando era pequeña, jugaba al tenis todos los sábados.Whereas, the Pasado Compuesto is used to describe an action that...
SR
Answered by Sofia R. • Spanish tutor
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When should you use the subjunctive mood in Spanish?

It's important to note that the subjunctive is a 'mood', as opposed to a 'tense', like the present, past or future. The rule about when we use the subjunctive tense, therefore, is not dictated by time but ce...
IL
Answered by Isobel L. • Spanish tutor
5898 Views

What is the relationship between the lengths of a right angle triangle

The lengths of a right angle triangle can be summarised as follows: the sum of the lengths of the two shorter sides squared (the sides which vertice connect forms the right angle) is equal to square of the l...
SG
Answered by stephanie g. • Maths tutor
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