Date Grade 11 Pre Calculus Real Life Application Of Sine And Cosine Functions The Consumption Of Electricity In Kilo Wa 1 (30.65 KiB) Viewed 16 times
Date Grade 11 Pre Calculus Real Life Application Of Sine And Cosine Functions The Consumption Of Electricity In Kilo Wa 2 (34.44 KiB) Viewed 16 times
Date: Grade:11 Pre-Calculus Real life application of sine and cosine functions The consumption of electricity in kilo watts of a car factory every month Is modeled by, where t=1 corresponding to January. a) Calculate the consumption of electricity of the factory in May. b) What is the period of the model? Interpret the outcome. c) What is the frequency of the model? Interpret the outcome. d) What is the average monthly consumption of electricity in kilo watt? e) Determine the maximum and the minimum consumption of electricity of the factory during a year. f) In which month the consumption of electricity is 5 kilo Watt? (Show your work by solving trigonometric equation) g) Assume that a bicycle factory uses the model To estimate the monthly consumption of electricity in kilo watt. Which factory has more variability in the monthly consumption? Justify your answer. h) Determine the period, amplitude, Phase shift of C(t) and B(t). Make a table for each function and sketch on the graph the two curve in two different colors. 1 CO) I Bet)
g) Assume that a bicycle factory uses the model To estimate the monthly consumption of electricity in kilo watt. Which factory has more variability in the monthly consumption? Justify your answer. h) Determine the period, amplitude, Phase shift of C(t) and B(t). Make a table for each function and sketch on the graph the two curve in two different colors. t C(1) t B(t) g) There are two months in the year where the two factories have the same consumption of electricity .Use (Desmos) graphing calculator to determine these months show your work by a picture or screen shot of the two graphs.
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