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Section Assignment #8 - Done In Class on Thursday 3/13

  1. Let \(P(t)\) be the cost of parking in a New York City parking garage for \(t\) hours. The policy of the garage is that \(P(t)\) is $20 per hour or fraction thereof. For example, if you are in the garage for two hours and one minute, you pay $60.
    If \(t_0\) closely approximates some time \(T\), then \(P(t_0)\) closely approximates \(P(T)\).
    True or false? Justify your answer.

  2. You decide to estimate \(e^2\) by squaring longer decimal approximations of \(e=2.71828...\).
    1. This is a good idea because \(e\) is a rational number.
    2. This is a good idea because \(y=x^2\) is a continuous function.
    3. This is a bad idea because \(e\) is irrational.
    4. This is a good idea because \(y=e^x\) is a continuous function.
    Clearly explain your choice

  3. At some time since you were born, your weight in pounds equaled your height in inches.
    Do you think this is true or false, and why?