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‘In the literature of love, women are often presented as submissive.’ In the light of this view, discuss how Shakespeare presents Katherine in her final monologue of The Taming of the Shrew (Act 5, Scene 2)

Throughout The Taming of the Shrew , Shakespeare often presents love as a contract between two people, though these two parties are rarely equal. In this extract, there is evidence to suggest that Shakespear...
JP
Answered by Jasmine P. • English tutor
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What is the equation of the tangent to the circle x^2 + y^2 = 25 at the point (-3, -4)?

From circle theorems, the tangent to a circle is perpendicular to the radius, and so to find the tangent we can use the gradient of the radius connecting the point (-3, -4) to the centre of the circle and th...
RA
Answered by Rebecca A. • Maths tutor
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(6^2 + 8^2)^1/2 = (125a^3)^1/3 Work out the value of a?

(6 2 + 8 2 ) 1/2 = (125a 3 ) 1/3 (36+62) 1/2 = (125a 3 ) 1/3 100 1/2 = (125a 3 ) 1/3 +/- 10 = (125a 3 ) 1/3 Using +10 as the left-hand side answer:10 = (125a 3 ) 1/3 1000 = 125a 3 8 = a 3 2 = aUsing -10 as t...
KS
Answered by Kate S. • Maths tutor
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How can we simplify sqrt(48) - 6/sqrt(3) ?

Observing that 48 = 24 * 2 = 12 2 2 = 4 4 3, we can write square root of 48 as being square root of 4 4 3, which means that sqrt(48) = 2 2 sqrt(3).Now, we can multiply the new result 2 2 sqrt(3) with sqrt(3)...
DG
Answered by Dorian G. • Maths tutor
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What graph can y = cos^2(x^2)/ x^2 have, for x > 0 ?

Right! Analysing the function "y" we can see that the graph should not exist below the "x" axis, since all the elements that form "y" as a function are positive, no matter what ...
DG
Answered by Dorian G. • MAT tutor
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