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What is sonata form?

Sonata form is formed of an exposition, development section and a recapitulation. The exposition comprises of a first subject, a bridge passage, a second subject and a codetta. The development section bui...

AM
Answered by Anita M. Music tutor
3336 Views

How do I find the co-ordinates of a stationary point of a given line and determine whether it is a minimum or a maximum point?

When you find the first derivative of the equation and equate it to 0 then solve for x, you will find the x-coordinates of the stationary point(s) of the graph. For example, let's say f(x)=-x3+...

Answered by Maths tutor
3686 Views

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...

NS
Answered by Niusha S. Maths tutor
4716 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
3736 Views

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 ...

IL
Answered by Isobel L. Spanish tutor
5097 Views

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