O The graph is a petal rose curve O The graph is a lemnisca

O The graph is a + petal rose curve. O The graph is a lemniscate. O The graph is a 5-petal rose curve. O The graph is a cardioid. O The graph is a circle. he graph is a 4-petal rose curve. Identify any symmetry. (Select all that apply.) symmetric with respect to = /2 symmetric with respect to the polar axis symmetric with respect to the pole E none of these Identify any zeros of r. (Select all that apply.) = 4 2 2

Solution

it is 5 petal   rose   curve   C option

for 2nd one , when we plug theta = pi/2   we will get y= -8 , it is symmetry at pole .

for third part

we will put r= 0

0=-8sin5that

sin5theta=0

sin5theta=sinpi

5theta =pi

theta=pi/5

also   5theta = 2pi

theta = 2pi/5 are the solutions