Instantaneous Rate of Change Answers.pdf

# Instantaneous Rate of Change Answers.pdf - Solutions for...

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Solutions for the Explorations Chapter 1 Exploration 1-1a 1. Such a graph might look like this: 2. d H 200 t 2 D t : 3. t d 0 0.0 1 100.0 2 100.0 3 75.0 4 50.0 5 31.3 6 18.8 7 10.9 8 6.3 9 3.5 10 2.0 4. Door appears to be opening. The graph of d shows that d was less than 100 before t H 1 s and greater than 100 after t H 1 s. 5. Average Rate H (change in value)/(Time) H (200(1.1) 2 D 1.1 D 200(1) 2 D 1 )/(1.1 D 1) (102.6 − D 100 )/0.1 s H 26 /s This number is greater than zero, which shows that the door is still opening because d is increasing. 90 180 7 t d t d 1 2 3 4 5 6 7 8 9 10 –1 90 180 6. Average rate for time interval [1, 1.01] 30 /s. Average rate for time interval [1, 1.001] 31 /s. Average rate for time interval [1, 1.0000001]

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