Min (Shaded Fraction) = 1 / 3 | Desmos

Expression 11: "O" Subscript, 2 , Baseline equals StartRoot, 0 , EndRoot equals 0

equals

0

11

Expression 12: "M" Subscript, 1 , Baseline equals "O" Subscript, 1 , Baseline equals 0

equals

0

12

Expression 13: "M" Subscript, 2 , Baseline equals "R" minus "R" Subscript, 2 , Baseline equals 4

equals

4

13

Graphs

14

Expression 15: left parenthesis, "M" Subscript, 1 , Baseline plus "R" Subscript, 2 , Baseline cos "t" , "M" Subscript, 2 , Baseline plus "R" Subscript, 2 , Baseline sin "t" , right parenthesis Has graph.

0

domain t Minimum:

less than or equal to "t" less than or equal to

domain t Maximum: 360

15

Expression 16: left parenthesis, "R" Subscript, 1 , Baseline cos "t" , "R" Subscript, 1 , Baseline sin "t" , right parenthesis

0

domain t Minimum:

less than or equal to "t" less than or equal to

domain t Maximum: 180

16

Expression 17: "f" left parenthesis, "x" , right parenthesis

17

Expression 18: left parenthesis, "M" Subscript, 1 , Baseline plus "R" Subscript, 2 , Baseline cos "t" , "M" Subscript, 2 , Baseline plus "R" Subscript, 2 , Baseline sin "t" , right parenthesis

0

domain t Minimum:

less than or equal to "t" less than or equal to

domain t Maximum: 360

18

Expression 19: "f" prime left parenthesis, "R" Subscript, 1 , Baseline , right parenthesis left parenthesis, "x" minus "R" Subscript, 1 , Baseline , right parenthesis plus "f" left parenthesis, "R" Subscript, 1 , Baseline , right parenthesis

19

Expression 20: left parenthesis, "R" Subscript, 1 , Baseline cos "t" , "R" Subscript, 1 , Baseline sin "t" , right parenthesis

0

domain t Minimum:

less than or equal to "t" less than or equal to

domain t Maximum: 180

20

Expression 21: left parenthesis, "R" cos "t" , "R" sin "t" , right parenthesis

0

domain t Minimum:

less than or equal to "t" less than or equal to

domain t Maximum: 180

21

Points

22

27

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