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Unformatted text preview: Math 170-010 Homework 8/23 Fall 2011 Goals: Compute rate of change on an interval. Compute secant slope. Compute average velocity. Realize that these are all the same and illustrate it on a graph. Exercises: These will be turned in on Friday. Keep them organized and in order. 1. A population of rabbits is measured by the function R ( t ) = 100(2 t/ 5 ) where t is measured in months and R is measured in rabbits. (a) Graph R ( t ) on the domain 0 t 15 months. Be sure to label your graph correctly. (b) Find the rate of change of R on the interval 0 t 5 months. Correct units are required. (c) Compute R t on the interval [5 , 10]. (d) Repeat for [5 , 12] (e) In your graph from part (a), sketch secant lines whose slopes match these three rates of change. Label each secant line with the letter of the corresponding rate of change. (f) Compute the rate of change of R on the interval [5 , a ]....
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