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How do you sketch the curve y=(x^2 - 4)(x+3), marking on turning points and values at which it crosses the x axis

First, factorise the equation into y = (x+3)(x-2)(x+2), nothing that x2-4 is the difference of two squares so is easy to factorise. From the factorised equation, the points at which the curve...

Answered by Maths tutor
3182 Views

Compare how authors present the idea that men typically dominate relationships. (The Great Gatsby: F. Scott Fitzgerald - A song (Absent from Thee): John Wilmot - La Bella Dame sans Merci (John Keats)

It does seem, from the relationship between that of Tom and Myrtle, that men are the dominant characters within the relationship. After all, it is clear that Tom uses Myrtle purely as a tool to boost his ...

Answered by Isabella E. English tutor
5240 Views

'No more evasion'. Discuss the ways Shakespeare addresses the issue of evasion in Measure for Measure.

Perhaps the most conspicuous example of such circumvention in Measure for Measure is the Duke's attempt to avoid his responsibilities as a leader. Despite the order for 'No more evasion' originat...

Answered by Eirian W. English tutor
1505 Views

factorise 2x^2 +10x

2x(x+5)

Answered by Ashley S. Maths tutor
3271 Views

The point D has polar coordinates ( 6, 3π/4). Find the Cartesian coordinates of D.

We know that r= 6 and θ = 3π/4 as it is given in the question. We can then use the identities: x= rcosθ and y= rsinθ to find the x and y coordinates which are the Cartesian coordinates. So, x= rcosθ = 6co...

Answered by Meghan B. Further Mathematics tutor
2828 Views

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