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Consider the curve y=x/(x+4)^0.5. (i) Show that the derivative of the curve is given by dy/dx= (x+8)/2(x+4)^3/2 and (ii) hence find the coordinates of the intersection between the left vertical asymptote and the line tangent to the curve at the origin.

The unsimplified form of the derivative can be obtained fairly easily with use of the quotient rule. The trick for simplification is to multiply top and bottom by (x+4)^0.5, this allows manipulation of th...

Answered by Seb R. • Maths tutor

3563 Views

Integrate 3x^4-4x^2+3/x

Firstly, integrate each term individually, starting off with the 3x^4. In order to integrate the index on the x term needs to be raised by 1, and the coefficient of the x should be divided by this new val...

Answered by Muhammad R. • Maths tutor

4061 Views

How does Shakespeare use propoganda to maintain English nationalism

Shakespears Macbeth was written during the time of King James, who was the son of Mary Queen of the Scots. It was because of this Scottish heritage that there was anxiety within the public consensus of co...

Answered by Tom E. • English Literature tutor

6122 Views

Outline the sequence of events following the production of extracellular proteins that leads to their release from the cell. [3]

keywords: outline sequence following production extracellular step 1) protien is folded by rough endoplasmic reticulum and re

Answered by Alia H. • Biology tutor

8623 Views

What are the functionalist perspectives on crime and deviance?

Functionalists believe that crimes are functional for society. Durkheim argues that crimes have 6 positive functions e.g. prostitution acting as a safety valvue to ensure that the most important part of s...

Answered by Mia S. • Sociology tutor

8249 Views