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Flashback 10-11-12

Flashback 10-11-12. Question #1: The population of the city of Boston was 520,000 in 2005. Assume the population grows at a constant rate of 7% per year. Which of the following is an expression for the population of Boston in the year 2010?

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Flashback 10-11-12

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  1. Flashback 10-11-12 • Question #1: The population of the city of Boston was 520,000 in 2005. Assume the population grows at a constant rate of 7% per year. Which of the following is an expression for the population of Boston in the year 2010? • (a) 520,000(1.07)4(b) 520,000(1.07)6(c) 520,000(1.07)5(d) 520,000(1.17)1/5(e) 520,000(1.17)5

  2. Joke of the day A math professor is one who talks in someone else's sleep.

  3. 1 and 2 sided limits • Right hand limit • Left hand limit • A function f(x) has a limit as x approaches c iff the right hand limit and the left hand limit are equal to each other.

  4. Look at example on p. 64 • What limits do we have: • At x = 0: • At x = 1: • At x = 2: • At x = 3: • At x = 4:

  5. Sandwich Theorem • If we have a function whose graph lies between 2 other functions, and we know the limits of the larger and the smaller functions at a given point are equal to each other, then then the limit of the “middle” function at that point is equal to the limits of the other 2 functions.

  6. How this works • What do we know about the range of the sine function? • ≤ • = ≤

  7. Your turn! • P. 66-68 Exercises 20, 26, 37, 40, 61,62

  8. Exit Slip • What do you know about limits?

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