For what values of theta (0< =theta< =2pi) do maximum r-values occur on the graph the polar equation r = 4 - 3 sin3 theta? note that the maximum r-value occurs at a point that is the maximum distance from the pole.
a. pi/2, 7pi/6, 11pi/6
b. pi/6, 5pi/6, 3pi/2
c. pi/3. pi, 5pi/3
d. pi/6, pi/2, 5pi/6, 7pi/6, 3pi/2, 11pi/6

the correct answers i think are b. and d.

give me brainliest if it is correct!

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b

step-by-step explanation:

rectangles are made up of 4 right angles, which means that a side and a base meet perpendicular to one another.   their slopes then have to reflect perpendicular slopes.   perpendicular slopes are opposite reciprocals of one another.   for example, if the slope of one line is +2/3, then the perpendicular slope to that would be -3/2.   so we look for that combination in our choices.

all of them satisfy that condition (so what's the question, i guess? )