Match each polar equation below to the best description. Each answer should be C,F,I,L,M,O,or T.
DESCRIPTIONS
C. Cardioid, F. Rose with four petals, I. Inwardly spiraling spiral, L. Lemacon, M. Lemniscate, O. Outwardly spiraling spiral, T. Rose with three petals
1. r=10-10sin(theta) ?
2. r=10/theta r>0 ?
3. r=18sin(2theta) ?
4. r=10theta r>o ?
5. r=10+20cos(theta) ?
6. r=10cos(3theta) ?
1. r=10-10sin(theta) - This equation represents an inwardly spiraling spiral. Therefore, the answer is I.
2. r=10/theta, r>0 - This equation represents an outwardly spiraling spiral. Therefore, the answer is O.
3. r=18sin(2theta) - This equation represents a lemniscate. Therefore, the answer is M.
4. r=10theta, r>0 - This equation represents a rose with three petals. Therefore, the answer is T.
5. r=10+20cos(theta) - This equation represents a cardioid. Therefore, the answer is C.
6. r=10cos(3theta) - This equation represents a rose with four petals. Therefore, the answer is F.