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shawnball8571
05.05.2020 •
Mathematics
What values of theta ( 0< theta< 2pi) do maximum r-values occur on the graph the polar equation r = 3 + 2 sin theta? Note that the maximum r-value occurs at a point that is the maximum distance from the pole.
a. 0, pi/2, pi, 3pi/2
b. 0, pi
c. pi/2
d. pi/2, 3pi/2
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Ответ:
Correct option: c -> pi/2
Step-by-step explanation:
To have the maximum value of r, we need to have sin(theta) = 1, so we will have r = 3 + 2*1 = 5
For other values of sin(theta), r will be smaller than 5.
So, to have sin(theta) = 1, there is only one possible angle, that is theta = 90 degrees.
To convert from degree to radians, we can use a rule of three:
180 degrees -> pi radians
90 degrees -> x radians
x * 180 = 90*pi
x = 90*pi/180 = pi/2
Correct option: c
Ответ:
bruh im sorry i needed points so bad
Step-by-step explanation:
not really sorry (;