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If y = 2/3 x^3 + x^2; a) What is dy/dx? b) Where are the turning points? c) What are the nature of the turning points?

a) By simple parametric differentiation of each term, dy/dx = 2x^2 + 2x b) The condition for a turning point is the gradient (dy/dx) at that point is zero. 0 = x(2x + 2) so either x=0 or 2x+2=0. Therefore...

AF
Answered by Annabel F. Maths tutor
4712 Views

Identify which of the courts are courts of first instance, and which are appeal courts.

Courts of first instance are where trials are first held. The court that will be used will depend on the seriousness of the offence. The courts of first instance include the Magistrates’ Courts and the Cr...

CS
Answered by Carissa S. Law tutor
31148 Views

Où aimes tu passer les vacances?

Normalement, je passe mes vacances dans le sud de la France car j'adore le soleil ! Mes parents louent un grand appartement avec une piscine et c'est deux minutes de la plage. C'est parfait. Quotidienneme...

DS
Answered by Daniela S. French tutor
4300 Views

Why did Tsar Nicholas II abdicate from the Russian throne?

Tsar Nicholas II's abdication came against a backdrop of a changing political, social and religious nation but the catalyst for change came through Russia's struggles in the First World War. Nicholas was ...

JC
Answered by James C. History tutor
39637 Views

How many sociological schools of thought should I discuss in a typical essay?

Generally, while this differs in term of exam board specification and type of question, two or three as focal points seems to be a fairly good rule of thumb. Any more prevents adequate discussion and mean...

RB
Answered by Rosa B. Sociology tutor
2693 Views

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