Mastery Quiz III

Show your work. Use a "4-function" calculator.

1. The following is a time-distance graph for a policeman on foot patrol moving along a beach. Distance is distance from the starting point. Describe what is happening at times A, B, and C. Comment on the direction he's walking and on his speed.

2. The following function describes a child's temperature, T(x), (in degrees Fahrenheit) at time x, (in hours) since a child ingested a poison. The formula is valid for x between 0 and 7 hours.

a) Find the derivative at x = 1.

b) What does the answer to (a) mean?

c) For what times is the child's temperature decreasing?

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James R. Olsen, Western Illinois University
updated Sept. 1, 1998