What is the quantity and the length of the petals in r =3 cos 9 theta

The quantity of petals in the polar equation r = 3 cos(9θ) is given by the coefficient of θ in the argument of cosine function, which is 9. Therefore, there will be 9 petals in this graph.

The length of the petals in the polar equation r = 3 cos(9θ) can be determined by finding the value of r when the cosine function equals 1, which occurs when θ = 0. Substituting θ = 0 into the equation, we get r = 3 cos(0) = 3. This means that the length of the petals is 3 units.