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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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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...
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Answered by Isobel L. • Spanish tutor
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Describe the impacts of the government implementing a sugar tax on fizzy drinks?

A sugar tax would be a direct tax that would increase the price of fizzy drinks such as diet coke for consumers. This would make it more expensive for consumers to purchase fizzy drinks and would therefore r...
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Answered by Samuel B. • Economics tutor
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Curve C has equation 4x^2- y^3 - 4xy +2^y = 0 , point P (-2, 4) lies on C, find dy/dx at the point P

Use implicit differentiation 1) 8x - 3y^2 dy/dx - 4y - 4x dy/dx +2^y*ln2 * dy/dx = 0 You then sub in the points P (-2,4) 2) 8(-2) - 3(4)^2 *dy/dx - 4(4) - 4(-2) *dy/dx + 2^(4) *ln2 * dy/dx = 0 Rearrange to g...
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Answered by Fernando F. • Maths tutor
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Explain Rutherford's alpha particle scattering experiment and what it provided evidence for

The experiment involved firing alpha particles at thin gold foil, where the number of alpha particles scattered at various angles were counted using a detector. This provided evidence for the existence, char...
CF
Answered by Caitlin F. • Physics tutor
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