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A curve has parametric equations x=t(t-1), y=4t/(1-t). The point S on the curve has parameter t=-1. Show that the tangent to the curve at S has equation x+3y+4=0.

To anwser this question we need to find a linear equation of the form y=mx+c which we can rearrange to give the desired equation. Firstly, we must find the gradient at the point S given by dy/dx. Using th...

Answered by Marcus F. • Maths tutor

7436 Views

Explain one negative externality that could occur due to the building of a new airport (2 marks)

This question tests the student's knowledge on the topic of negative externalities while also inviting them to think of its application in the real world.

The buiding of a new airport is a common t...

Answered by Ecaterina A. • Economics tutor

5720 Views

A "day return" train ticket is £6.45. A "monthly saver" is £98.50. Sue worked for 18 days last month. She bought a day return ticket each day she worked. A monthly saver ticket is cheaper than 18 day return tickets. How much cheaper?

This is a simple GCSE question which might feature at the beginning of the paper. It tests the student's attention to detail by asking to find the DIFFERENCE and not just the price that Sue paid. Also, gi...

Answered by Ecaterina A. • Maths tutor

5414 Views

Describe the function of ribosomes in protein synthesis.

Ribosomes, which are made up of rRNA, are instrumental in the translation of mRNA into proteins. The ribosome has a large and a small subunit, which sandwich around a strand of mRNA. This mRNA attaches to...

Answered by Luke G. • Biology tutor

26505 Views