pexam1 - Practice Exam for the rst Midterm(Time 90 minutes...

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Practice Exam for the first Midterm (Time: 90 minutes) 1. Evaluate the following integrals: (a) x 3 + 1 x dx (b) π 8 0 e 2 x + 3 cos (2 x ) dx ( Remark : your final answer may not contain any sin or cos-function.) 2. The power which a power station is providing during a 24 hour period to a city is given by the function f ( t ) = 200 + 100 sin 2 πt 24 . (The time is measured in hours after midnight, the power is measured in megawatts. Power is the rate of change in the energy produced by the power plant.) Answer the following questions: (a) For the the term 100 sin 2 πt 24 , what is the amplitude, the period, and the frequency? (b) When is the energy output of the plant greatest and when lowest? (c) What is the average power output between midnight and noon? (d) What is the average power output during the whole day? 3. If F ( x ) = x 3 - 1 and F (1) = 2 what is
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  • Spring '08
  • Harmon
  • Derivative, Litre, following questions, Midnight, average power output

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