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7.2.4_Modeling May 18, 2017 Pick up the Warm Up

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Page 1: Pick up the Warm Upblogs.4j.lane.edu/cedarlund/files/2018/02/7.2.4_Modeling.pdf7.2.4_Modeling May 18, 2017 The population of water buffalo is given by the function P(t) = 400 + 250

7.2.4_Modeling May 18, 2017

Pick up the Warm Up

Page 2: Pick up the Warm Upblogs.4j.lane.edu/cedarlund/files/2018/02/7.2.4_Modeling.pdf7.2.4_Modeling May 18, 2017 The population of water buffalo is given by the function P(t) = 400 + 250

7.2.4_Modeling May 18, 2017

Page 3: Pick up the Warm Upblogs.4j.lane.edu/cedarlund/files/2018/02/7.2.4_Modeling.pdf7.2.4_Modeling May 18, 2017 The population of water buffalo is given by the function P(t) = 400 + 250

7.2.4_Modeling May 18, 2017

Page 4: Pick up the Warm Upblogs.4j.lane.edu/cedarlund/files/2018/02/7.2.4_Modeling.pdf7.2.4_Modeling May 18, 2017 The population of water buffalo is given by the function P(t) = 400 + 250

7.2.4_Modeling May 18, 2017

Page 5: Pick up the Warm Upblogs.4j.lane.edu/cedarlund/files/2018/02/7.2.4_Modeling.pdf7.2.4_Modeling May 18, 2017 The population of water buffalo is given by the function P(t) = 400 + 250

7.2.4_Modeling May 18, 2017

Page 6: Pick up the Warm Upblogs.4j.lane.edu/cedarlund/files/2018/02/7.2.4_Modeling.pdf7.2.4_Modeling May 18, 2017 The population of water buffalo is given by the function P(t) = 400 + 250

7.2.4_Modeling May 18, 2017

Page 7: Pick up the Warm Upblogs.4j.lane.edu/cedarlund/files/2018/02/7.2.4_Modeling.pdf7.2.4_Modeling May 18, 2017 The population of water buffalo is given by the function P(t) = 400 + 250

7.2.4_Modeling May 18, 2017

Page 8: Pick up the Warm Upblogs.4j.lane.edu/cedarlund/files/2018/02/7.2.4_Modeling.pdf7.2.4_Modeling May 18, 2017 The population of water buffalo is given by the function P(t) = 400 + 250

7.2.4_Modeling May 18, 2017

Page 9: Pick up the Warm Upblogs.4j.lane.edu/cedarlund/files/2018/02/7.2.4_Modeling.pdf7.2.4_Modeling May 18, 2017 The population of water buffalo is given by the function P(t) = 400 + 250

7.2.4_Modeling May 18, 2017

Page 10: Pick up the Warm Upblogs.4j.lane.edu/cedarlund/files/2018/02/7.2.4_Modeling.pdf7.2.4_Modeling May 18, 2017 The population of water buffalo is given by the function P(t) = 400 + 250

7.2.4_Modeling May 18, 2017

Page 11: Pick up the Warm Upblogs.4j.lane.edu/cedarlund/files/2018/02/7.2.4_Modeling.pdf7.2.4_Modeling May 18, 2017 The population of water buffalo is given by the function P(t) = 400 + 250

7.2.4_Modeling May 18, 2017

Page 12: Pick up the Warm Upblogs.4j.lane.edu/cedarlund/files/2018/02/7.2.4_Modeling.pdf7.2.4_Modeling May 18, 2017 The population of water buffalo is given by the function P(t) = 400 + 250

7.2.4_Modeling May 18, 2017

Page 13: Pick up the Warm Upblogs.4j.lane.edu/cedarlund/files/2018/02/7.2.4_Modeling.pdf7.2.4_Modeling May 18, 2017 The population of water buffalo is given by the function P(t) = 400 + 250

7.2.4_Modeling May 18, 2017

Page 14: Pick up the Warm Upblogs.4j.lane.edu/cedarlund/files/2018/02/7.2.4_Modeling.pdf7.2.4_Modeling May 18, 2017 The population of water buffalo is given by the function P(t) = 400 + 250

7.2.4_Modeling May 18, 2017

Page 15: Pick up the Warm Upblogs.4j.lane.edu/cedarlund/files/2018/02/7.2.4_Modeling.pdf7.2.4_Modeling May 18, 2017 The population of water buffalo is given by the function P(t) = 400 + 250

7.2.4_Modeling May 18, 2017

Page 16: Pick up the Warm Upblogs.4j.lane.edu/cedarlund/files/2018/02/7.2.4_Modeling.pdf7.2.4_Modeling May 18, 2017 The population of water buffalo is given by the function P(t) = 400 + 250

7.2.4_Modeling May 18, 2017

The Buffalo ProblemUse your sketching abilitiesUse your analytic thinking abilitiesWork in a cooperative spirit

No calculators allowed.

Page 17: Pick up the Warm Upblogs.4j.lane.edu/cedarlund/files/2018/02/7.2.4_Modeling.pdf7.2.4_Modeling May 18, 2017 The population of water buffalo is given by the function P(t) = 400 + 250

7.2.4_Modeling May 18, 2017

The population of water buffalo is given by the function

P(t) = 400 + 250 sin (90 t)

a) What was the initial estimate of the buffalo population ?

b) What was the size after - 1 year ? - two years ?

c) Find the smallest population and when it first occurs.

where t = number of years since the first population estimate was made

Page 18: Pick up the Warm Upblogs.4j.lane.edu/cedarlund/files/2018/02/7.2.4_Modeling.pdf7.2.4_Modeling May 18, 2017 The population of water buffalo is given by the function P(t) = 400 + 250

7.2.4_Modeling May 18, 2017

Page 19: Pick up the Warm Upblogs.4j.lane.edu/cedarlund/files/2018/02/7.2.4_Modeling.pdf7.2.4_Modeling May 18, 2017 The population of water buffalo is given by the function P(t) = 400 + 250

7.2.4_Modeling May 18, 2017

Page 20: Pick up the Warm Upblogs.4j.lane.edu/cedarlund/files/2018/02/7.2.4_Modeling.pdf7.2.4_Modeling May 18, 2017 The population of water buffalo is given by the function P(t) = 400 + 250

7.2.4_Modeling May 18, 2017

Assignment

7..... 158-162, 166

The yellow HW recording sheet will be not be turned in until the end of next week.

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