Find the points of intersection of the graphs of the equations. (Enter (0, 0) for the pole.)r = 𝜃3r = 3r > 0, 2𝜋 ≤ 𝜃 < 4𝜋(r, 𝜃)=  r < 0, −4 < 𝜃 ≤ 2𝜋(r, 𝜃)

Find the points of intersection of the graphs of the equations. (Enter (0, 0) for the pole.)r = 8 + 8 cos(𝜃)r = 8 − 8 sin(𝜃)r ≥ 0, 0 ≤ 𝜃 < 2𝜋

Sketch a graph of the polar equation and find the tangent lines at the pole for 0 ≤ 𝜃 < 𝜋 (if any). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)r = 3 cos(3𝜃)

Find the points of horizontal tangency to the polar curve.r = 2 csc(𝜃) + 3      0 ≤ 𝜃 < 2𝜋

Find the points of intersection of the graphs of the equations.r = 9(1 + sin(𝜃))r = 9(1 − sin(𝜃))r ≥ 0, 0 ≤ 𝜃 < 2𝜋

Two circles of radius two touch each other and each of them touches internally a circle of radius four. The radius of the circle which touches all the three circles is r, and then find the value of 3r.