Ace Truck leases its 10-ft box truck at $33/day and $0.45/mi, whereas Acme Truck leases a similar truck at $28/day and $0.50/mi. (a) Find the daily cost of leasing from each company as a function of the number of miles driven. (b) Sketch the graphs of the two functions on the same set of axes. (c) Which company should a customer rent a truck from for 1 day if she plans to drive at most 75 mi and wishes to minimize her cost?

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.