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Differentiate with respect to x: (x^2+5)^3

There are two methods for solving this question. Firstly, the inspection method, and then the chain rule method.Using the inspection method, we differentiate the outer function first. Multiply the functio...

Answered by Matthew P. • Maths tutor

4263 Views

‘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...

Answered by Jasmine P. • English tutor

2208 Views

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...

Answered by Rebecca A. • Maths tutor

7038 Views

(6^2 + 8^2)^1/2 = (125a^3)^1/3 Work out the value of a?

(6²+ 8²)^1/2 = (125a³)^1/3(36+62)^1/2 = (125a³)^1/3100^1/2 = (125a³)^1/3+/- 10 = (125...

Answered by Kate S. • Maths tutor

3930 Views

How can we simplify sqrt(48) - 6/sqrt(3) ?

Observing that 48 = 24 * 2 = 1222 = 443, we can write square root of 48 as being square root of 443, which means that sqrt(48) = 22sqrt(3).Now, we can multiply the new ...

Answered by Dorian G. • Maths tutor

9531 Views