Question

Identify and graph this polar equation.
r = 3 cos(4θ)
a)The graph will be a cardioid.
b)The graph will be a limacon with an inner loop.
c)The graph will be a limacon without an inner loop.
d)The graph will be a rose with 3 petals.
e)The graph will be a rose with 4 petals.
f)The graph will be a rose with 5 petals.
g)The graph will be a rose with 8 petals.
h)The graph will be a lemniscate.
i)The graph will be a spiral.

Answer 1

really? we gotta remember definitions and stuff?

Answer 2

yep haha

Answer 3

oh btw i tried 1 and it was wrong aswell

Answer 4

must be an error in the program then ;)

Answer 5

ok ill tlk to the admin

Answer 6

lets plug in some numbers or simplify it by using wolfram ;)

Answer 7

hahaha. btw wud u be able to right a brief solution for max disp at rest position for that previous q? much appreciated

Answer 8

the max displacement is 1; it moves up and dowm; it ocsilates between 1 and -1. So we must not be looking at the question right

Answer 9

http://www.wolframalpha.com/input/?i=polar+r+%3D+cos%284t%29

Answer 10

8 petals; go with g

Answer 11

sweet

Answer 12

For a a function, in polar coordinate, of the form a cos(bθ), the number of petals is equal to 2b.