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.

SV
Answered by Shreyas V. Oxbridge Preparation tutor

1282 Views

See similar Oxbridge Preparation Mentoring tutors

Related Oxbridge Preparation Mentoring answers

All answers ▸

How best should I prepare for my Cambridge (Oxford) interview for Economics?


A hypertensive patient asks you to choose his treatment without disclosing potential side-effects of different options as that would only make him anxious, he claims. Which medical and ethical issues would you investigate before proceeding?


"How do I prepare for my Oxbridge Application and Interview? What was it like?" - Anonymous, The Student Room


What is the most important thing to bear in mind when approaching the entry exams or the interviews?


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences