a. Find E corresponding to t= 30. E=0 Find E corresponding to t = 35. E= Find E corresponding to t = 40. E= Find E corresponding to t= 45. E=0 Find E corresponding to t = 50. E= Describe what you observe. O Our emotions appear to cycle between - 1 and 0. O Our emotions appear to cycle between - 1 and 1. O Our emotions appear to cycle between 0 and 1. No conclusions can be found from the results.

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Chapter2: Second-order Linear Odes
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People who believe in biorhythms claim there are three cycles that rule our behavior - the physical, emotional, and mental. Each is a sine function of a certain period. The function for our emotional fluctuations
is
where t is measured in days starting at birth. Emotional fluctuations, E, are measured from 1 to 1, with 1 representing peak emotional well-being, 1 representing the low for emotional well-being, and 0
representing feeling neither emotionally high nor low.
a. Find E corresponding to t = 30, 35, 40, 45, and 50. Describe what you observe.
b. What is the period of the emotional cycle?
a. Find E corresponding to t = 30.
E =
Find E corresponding to t = 35.
E=
Find E corresponding to t = 40.
E=
Find E corresponding to t= 45.
E=
Find E corresponding to t = 50.
E=
Describe what you observe.
T
E = sint (Equation may not be based on actual studies.)
O
Our emotions appear to cycle between 1 and 0.
O
Our emotions appear to cycle between - 1 and 1.
O
Our emotions appear to cycle between 0 and 1.
O No conclusions can be found from the results.
b. What is the period of the emotional cycle? davs
Transcribed Image Text:People who believe in biorhythms claim there are three cycles that rule our behavior - the physical, emotional, and mental. Each is a sine function of a certain period. The function for our emotional fluctuations is where t is measured in days starting at birth. Emotional fluctuations, E, are measured from 1 to 1, with 1 representing peak emotional well-being, 1 representing the low for emotional well-being, and 0 representing feeling neither emotionally high nor low. a. Find E corresponding to t = 30, 35, 40, 45, and 50. Describe what you observe. b. What is the period of the emotional cycle? a. Find E corresponding to t = 30. E = Find E corresponding to t = 35. E= Find E corresponding to t = 40. E= Find E corresponding to t= 45. E= Find E corresponding to t = 50. E= Describe what you observe. T E = sint (Equation may not be based on actual studies.) O Our emotions appear to cycle between 1 and 0. O Our emotions appear to cycle between - 1 and 1. O Our emotions appear to cycle between 0 and 1. O No conclusions can be found from the results. b. What is the period of the emotional cycle? davs
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