Solve the Following.

_ Sal's Dune Buggy Rentals rents dune buggies at a minimum rate of 16 vehicles per month on January 1 and a maxrmum rate of 184 vehicles per month on July 1 t Assume this pattern repeats every year. a) Find a sinusoidal model for f(t), the rate of dune buggy rentals t months after January 1. b) Find f'(t), c) How fast is the rental rate changing on April 1? d) How fast is the rental rate changing on June 15