Use your calculator to make a table of values for the following rose curves and use them along with a sketch of the graph to explain why based on the form listed above, (Rose curves: r = a cos nq, r = a sin nq, n ≥ 2; n petals if n is odd; 2n petals if n is even), we have n petals if n is odd; 2n petals if n is even, and why do we have the requirement that n ≥ 2?

a. r=2cos2θ 

b. r=4sin2θ 

c. r=-3cos4θ 

d. r=5cos3θ 

e. r=5cosθ 

f. r=-2cos5θ