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The curve C has equation x^2 + 2xy + 3y^2 = 4. Find dy/dx.

Here, we have to use implicit differentiation, along with the product rule. Remember that the product rule is (vu)' = vu'+uv'. Moving through the equation we have: x^2+2xy+3y^2 = 4 ==> 2x +2y + 2x*(d...

Answered by Chris B. • Maths tutor

10743 Views

How can i add algebraic fractions, such as 1/(1-x) + 2/x

The trick to working out how to do this, is to remember how to add normal fractions! We know 1/8 + 3/8 = 4/8 . The point here is that IF THE DENOMINATORS ARE THE SAME, we can add the numerators. So what a...

Answered by Matthew W. • Maths tutor

3734 Views

How do you answer a character assessment exam question, for example Tybalt from Romeo and Juliet?

Start by noting the very basic background information on the character, for example, Tybalt is a Capulet and is Juliet’s cousin. Then consider the role that the character plays in the plot, Tybalt, for ex...

Answered by Rosalind W. • English Literature tutor

9039 Views

‘The death penalty (capital punishment) should never be used.’ Do you agree? Give reasons for your answer, showing that you have thought about more than one point of view. Refer to religious arguments in your answer.

In support of the quotation, using the death penalty does not allow the offender to learn from their criminal mistake. Therefore, any means of reconciliation between the offender and the victimized party ...

Answered by Isaac M. • Religious Studies tutor

9824 Views

Describe how information passes from a relay neurone to a motor neurone. (3 marks)

An impulse stimulates the active release of a neurotransmitter from the relay neurone into the synapse. The neurotransmitter carrying the information from the relay neurone diffuses down the concentration...

Answered by Isaac M. • Biology tutor

25826 Views