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Work out 2^14 ÷ (2^9)^2 in its simplest form

2¹⁴ ÷ (2⁹)²I would start with the second part of this equation as that looks like it needs simplifying. When 'powers of' are in brackets to each other, they are multipled ...

Answered by Sion D. • Maths tutor

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How do you find the first order derivative of sin(x) and cos(x) functions?

The general rules are:d(sin x)/ dx = cos xd(cos x)/ dx = -sinxHowever, if you have a constant k in the function such as y = sin(kx), the derivative will be dy/dx = kcos(kx). (For y = cos(kx), the derivati...

Answered by Niusha S. • Maths tutor

4498 Views

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

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 ...

Answered by Harry B. • Maths tutor

2981 Views

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 t...

Answered by Sofia R. • Spanish tutor

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