CALCULUS | Problem on the sine function and its graph | University of Lima Calculus I 6503

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The approximate average monthly electricity consumption of a family in the city of Trujillo, in kWh, is given by the following function:
Where the variable t represents the number of months elapsed since the beginning of 2022 (t=0 represents consumption in December 2021).
(a) If monthly consumption was 85 kWh in May 2022, find the value of the constant k.
(b) Graph function C for the years 2022 and 2023.
(c) Based on the graph obtained in (b), in which month (or months) of 2023 was the lowest monthly consumption recorded?
(d) Based on the graph obtained in (b), in which month (or months) of 2022 was the highest monthly consumption recorded?




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