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MATHEMATICS - CASE STUDY

    Introduction


Brightness of Delta Cephei

 

Albert, astronomy amateur, notices that the brightness of Delta Cephei periodically increases and decreases. He wonders how fast does its brightness changes at time equals 1day?

What is known:

  • The brightness cycles every 5 days
  • The brightness of the star is modeled by the function:
    B(t) = 4 + 0.35 sin(2πt/b)
  • The time, t, is 1 day.
     
    Questions

 

 

How fast is the brightness changing after a day?

     
    Approach


 

Applying the chain rule to find the derivative of the brightness.