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Interpreting Rates of Change on a Graph A car is traveling from New York to Boston and is partway between the two cities. Let
in Fig. 7.
The car travels at a positive steady speed.
The car is stopped.
The car is backing up.
The car is accelerating.
The car is decelerating.
Figure 7 Possible graphs of
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Chapter 1 Solutions
Pearson eText for Calculus & Its Applications -- Instant Access (Pearson+)
- Earthquake the graph shows the vertical acceleration of the Ground from the 1994 Northridge earthquake in Los Angles, as measured by a seismograph. (Here t represents the time in seconds.) (a) At what time t did the earthquake first make noticeable movement of the Earth? (b) At what time t did the earthquakes seem to end? (c) At what time t was the maximum intensity of the earthquake list reachedarrow_forwardOven Temperature The graph shows the temperature one Christmas day of a Heat-Kit Bakeoven, a wood-burning oven for baking. Source: Heatkit.com. The oven was lit at 8:30A.M. Let T(x) be the temperature x hours after 8:30A.M. a. Find and interpret T(0.5). b. Find and interpret T(3). c. Find and interpret T(4). d. At a certain time a Christmas turkey was put into the oven, causing the oven temperature to drop. Estimate when the turkey was put into the oven.arrow_forwardImmigration The following graph shows immigrationin thousand to the United States has varied over the past century. Source: Homeland Security. a. Find the average annual rate of change in immigration for the first half of the century from 1905 to 1955. b. Find the average annual rate of change in immigration for the second half of the century from 1955 to 2005. c. Find the average annual rate of change in immigration for the entire century from 1905 to 2005. d. Average your answers to part a and b, and compare the result with your answer from part c. Will these always be equal for any two time periods? e. If the annual average rate of change for entire century continues, predict the number of immigrants in 2009. Compare answer to the actual number of 1,130,818 immigrants.arrow_forward
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