Cardioids and limacons - polar coordinates, Mathematics

Assignment Help:

Cardioids and Limacons

These can be split up into the following three cases.

1. Cardioids: r = a + a cos θ and r = a + a sin θ.

These encompass a graph that is vaguely heart shaped and all time contain the origin.

2.   Limacons along with an inner loop : r = a + b cos θ and r = a + b sin θ along with a < b .

These will have an inner loop and will always contain the origin.

3.   Limacons with no an inner loop : r = a + b cos θ and r = a + b sin θ with a > b .

These do not contain an inner loop and do not consist of the origin.


Related Discussions:- Cardioids and limacons - polar coordinates

Circle, a wheel revolves 360 deegre revolution in one minute .Find how many...

a wheel revolves 360 deegre revolution in one minute .Find how many radians will the wheel subtend in one second

Advantages and disadvantages of decision trees, Advantages of decision tree...

Advantages of decision trees 1. This clearly brings out implicit calculations and assumptions for all to see question and revise 2. This is simple to understand Disadvan

Graph, Graph A graph G = (V, E) contains a (finite) set that is denote...

Graph A graph G = (V, E) contains a (finite) set that is denote by V, or by V(G) if one wishes to make clear which graph is under consideration, and a collection E, or E(G), o

Calculate the profit of company, Company A and Company B have spent a lot o...

Company A and Company B have spent a lot of money on research to develop a cure for the common cold. Winter is approaching and there is certainly going to be a lot of demand for th

Calculate the amplitude of trigonometry function, Consider the trigonometri...

Consider the trigonometric function f(t) = -3 + 4 cos(Π/ 3 (t - 3/2 )). (a) What is the amplitude of f (t)? (b) What is the period of f(t)? (c) What are the maximum and mi

Polynomials, find a quadratic polynomial whose zeroes are 2 and -6.verify t...

find a quadratic polynomial whose zeroes are 2 and -6.verify the relationship between the coefficients and zeroes of the polynomial

Shortricks, shortricks of compound interest

shortricks of compound interest

C programming, Write a program to find the area under the curve y = f(x) be...

Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. The area under a curve between two points can b

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd