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Find the equation of the tangent to the curve y = (5x+4)/(3x -8) at the point (2, -7)

(Much easier to explain in conversation and with drawings): But, An application of the quotient rule, stating that for f(x)=a(x)/b(x), f'(x) = a'(x)b(x) - a(x)b'(x) all over [b(x))]^2 Here, a(x) = 5x + 4 and...
BR
Answered by Ben R. • Maths tutor
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"Where would a contemporary ancient Athenian audience's sympathies lie in Sophocles' Antigone: with Creon, Antigone, or both?"

Before tackling such a question, we should consider the context in which Sophocles was writing, and in which his play is set. Typically in fifth-century Athens, a mention of Thebes would be met with hostilit...
CP
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"In Tacitus, individuals are seldom virtuous without flaws or flawed without virtues, and the flaws are normally closely related to the virtues." Discuss.

What we first recognise about Tacitus and his characters is that, in spite of his notorious claim “consilium mihi pauca […] tradere […] sina ira et studio”, “my aim is to relate a few accounts without anger ...
CP
Answered by Chester P. • Latin tutor
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make a the subject of p = (3a+5)/(4-a)

so step 1) remove the denominator by multiplying (4-a) by p. Therefore obtaining p(4-a) = 3a+5. step 2) multiply out to get 4p-ap = 3a+5 step 3) have all the a's on one side, and non a's on other side. there...
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Answered by Jamie W. • Maths tutor
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"With close reference to his poetry, consider the ways in which W.H. Auden explores the concept of suffering in his poetry."

Key to Auden's perspective on suffering is that suffering is a constant component of human existence, made clear in Surgical Ward , where he observes how those who experience acute pain magnify the truth of ...
CP
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