For what values of theta (0 less than or equal to theta less than or equal to 2) do maximum r-values occur on the graph the polar equation r = 2 sin4 theta? Note that the maximum r-value occurs at a point that is the maximum distance from the pole.

a. Pi/8, 3pi/8, 5pi/8, 7pi/8, 9pi/8, 11pi/8, 13pi/8, 15pi/8

b. 0 pi/4, pi/2, 3pi/4, pi, 5pi/4, 3pi/2, 7pi/4

c. Pi/8, 5pi/8, 9pi/8, 13pi/8

d. 0, pi/2, pi, 3pi/2

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.