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Let f(x) = 3x^4 - 8x^3 - 3. Find the x- values of the stationary points of this function.

Stationary points occur when f'(x) = 0. To find this, we differentiate f(x) to get f'(x) = 12x^3 - 24x^2. We know that at the stationary points are when f'(x) = 0. so we know that 12x^3 - 24x^2 = 0. We ca...

YS
Answered by Yathavan S. Maths tutor
3233 Views

Discuss the ways in which the theme of Power or Powerlessness is depicted in Macbeth?

The theme of power and lack of it is utilised expertly by Shakespeare and made a prominent motivation for the ensemble of characters in the play. It helps give depth to characters, mirror reality and pres...

DL
5452 Views

What is the difference between the preterite and imperfect tenses in Spanish? When would you use each?

The preterite and imperfect tenses have different conjugations, which it is necessary to learn by heart. In terms of usage, whilst they both refer to actions that have taken place in the past, they do hav...

AT
Answered by Amy T. Spanish tutor
2411 Views

How do I recognise the difference between a gerund and a gerundive?

There are a few ways that I have taught myself to remember the difference between these, as they can look very similar.
A gerundive is a passive adjective

JJ
Answered by Jess J. Latin tutor
4986 Views

Celine has £5 to buy pens and rubbers. Pens are 18p each. Rubbers are 30p each. She says “I will buy 15 pens. Then I will buy as many rubbers as possible. With my change I will buy more pens.” How many pens and how many rubbers does she buy? [5 marks]

Answer: 16 pens and 7 rubbers

AR
Answered by Ardra R. Maths tutor
2848 Views

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