Sketch graphs of: i. x^2 + y^2 = 1, ii. x^3 + y^3 = 1, iii. x^100 + y^100 = 1, iv. x^99 + y^99 = 1. Any generalisations?

i. A circle of radius 1 centred on the origin.ii. No longer restricted to -1 <= x,y <= 1, so its a quarter circle, then it goes off to infinity towards the asymptote x = -y.iii. Restricted to that range again, due to the even power. Sharper corners due to higher power. Looks like a square.iv. Similar to (ii) due to odd power, but due to higher power the turns are sharper.

Related Oxbridge Preparation Mentoring answers

All answers ▸

Interview: (Shown protein structure of virus capsid) Explain what you think this structure is, and how knowing the structure may be of relevance to medicine?


What is the application process like?


What are tutors looking for in a law interview?


lim(x-> 0) sin(x)/x


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences