The depth (d) metres of water in a harbor varies with the tides during each day. The first high (maximum) tide after midnight occurs at 5:00 am with a depth of 5.8 metres. The first low (minimum) tide occurs at 10:30 am with a depth of 2.6 metres. (a) Find a trigonometric function that models the depth, d, of the water t hours after midnight. (b) Find the depth of the water at 12 noon.

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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.