Analyze the graph of the given polar curve. If possible, describe the shape of the graph (circle, rose curve, limacon, etc), and state the domain, range, and maximum r-value of the graph. State whether the graph is continuous and whether it is bounded. Describe any symmetry the graph has. Give the equations of any asymptotes or state that the graph has no asymptotes.

r = -2cos5 theta

The shape of the graph is sinusoidal

The domain is from  θ = -∞ to +∞

The range is from r = 2 to -2

The maximum r value of the graph is r = 2

The graph is continuous and bounded with symmetry about the line origin and the y-axis

The graph has no asymptotes

Step-by-step explanation:

The graph r = -2·cos(5θ) and table of values are attached

The maximum r can be found by differentiating the function as follows;

sin(5·θ) = 0, hence the maximum value occurs at θ = 0 or θ = π

Which gives, r = -2 and 2. Therefore, maximum r = 2 and minimum r = -2.

all of them.

step-by-step explanation:

every month has 28 days. some just continue on after reaching 28.