. Energy Usage A mathematics textbook author has determined that her monthly gas usage y approximately follows the sine curve y = 12.5 sin(t + 1.2)) + 14.7, where y is measured in thousands of cubic feet (MCF) and t is the month of the year ranging from 1 to 12. (a) Graph this function on a graphing calculator. (b) Find the approximate gas usage for the months of February and July. (c) Find dy/dt, when t = 7. Interpret your answer. (d) Estimate the total gas usage for the year.

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