The winds are calm, allowing a forest fire to spread in a circular fashion at 5 feet per minute. a. Construct a function A(r) for the circular area burned, where r is the radius. Identify the units for the input and the output of A(r). b. Construct a function for the radius r = R(t) for the increase in the fire radius as a function of time t. What are the units now for the input and the output for R(t)? c. Construct a composite function that gives the burnt area as a function of time. What are the units now for the input and the output? d. How much forest area is burned after 10 minutes? One hour?

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