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12. Revenue from sales of a popular soft drink are approximated by R(t) = 4 −...

12. Revenue from sales of a popular soft drink are approximated by R(t) = 4 − 3 cos(πt/ 6) where R is sales (in millions of dollars) per month and t is the number of months after January 1.

a) What is the rate of change in sales on May 1? (6 points)

b) Find the total revenue over the first year of sales. (6 points)

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