Nonlinear Systems: For each of the following nonlinear systems, given below,
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![For a long-distance phone call, a hotel charges $9.25 for the first minute and $0.64 for each additional minute or fraction thereof. A formula for the cost is given below, where t is the time in minutes. (Note: [[x]] = greatest integer n such that n ≤ x. For example [[3.2]] = 3 and [[−1.6]] = −2. C(t) = 9.25 − 0.64[[−(t−1)]] (a) Use a graphing utility to graph the cost function for 0 < t ≤ 5. (b) Use the graph to complete the table below and observe the behavior of the function as t approaches 3.5 . Use the graph and the table to find the following limit. limt→3.5 C(t) (c) Use the graph to complete the table below and observe the behavior of the function as t approaches 3. Does the limit of C(t) as t approaches 3 exist? The limit does not exist. The limit exists.](https://www.doubtrix.com/uploads/editor/6671795260mPlaqRPHCl.png)
![For a long-distance phone call, a hotel charges $9.25 for the first minute and $0.64 for each additional minute or fraction thereof. A formula for the cost is given below, where t is the time in minutes. (Note: [[x]] = greatest integer n such that n ≤ x. For example [[3.2]] = 3 and [[−1.6]] = −2. C(t) = 9.25 − 0.64[[−(t−1)]] (a) Use a graphing utility to graph the cost function for 0 < t ≤ 5. (b) Use the graph to complete the table below and observe the behavior of the function as t approaches 3.5 . Use the graph and the table to find the following limit. limt→3.5 C(t) (c) Use the graph to complete the table below and observe the behavior of the function as t approaches 3. Does the limit of C(t) as t approaches 3 exist? The limit does not exist. The limit exists.](https://www.doubtrix.com/uploads/editor/9889860319qLyGLbovVx.png)
