Telephone Service The percent P of the households in the United States with wireless-only telephone service from 2005 through 2014 can be approximated by the model P = - 3.42 + 1.297 t ln t , 5 ≤ t ≤ 14 where t represents the year, with t = 5 corresponding to 2005. ( Source: National Center for Health Statistics ) (a) Approximate the percents of households with wireless-only telephone service in 2008 and 2012. (b) Use a graphing utility to graph the function. (c) Can the model be used to predict the percent of households with wireless-only telephone service in 2020? in 2030? Explain.
Telephone Service The percent P of the households in the United States with wireless-only telephone service from 2005 through 2014 can be approximated by the model P = - 3.42 + 1.297 t ln t , 5 ≤ t ≤ 14 where t represents the year, with t = 5 corresponding to 2005. ( Source: National Center for Health Statistics ) (a) Approximate the percents of households with wireless-only telephone service in 2008 and 2012. (b) Use a graphing utility to graph the function. (c) Can the model be used to predict the percent of households with wireless-only telephone service in 2020? in 2030? Explain.
Solution Summary: The author explains how the graph of the function P=-3.42+1.297tmathrmlnt,5le t
Telephone Service The percent
P
of the households in the United States with wireless-only telephone service from 2005 through 2014 can be approximated by the model
P
=
-
3.42
+
1.297
t
ln
t
,
5
≤
t
≤
14
where
t
represents the year, with
t
=
5
corresponding to 2005. (Source: National Center for Health Statistics)
(a) Approximate the percents of households with wireless-only telephone service in 2008 and 2012.
(b) Use a graphing utility to graph the function.
(c) Can the model be used to predict the percent of households with wireless-only telephone service in 2020? in 2030? Explain.
Rylee's car is stuck in the mud. Roman and Shanice come along in a truck to help pull her out. They attach
one end of a tow strap to the front of the car and the other end to the truck's trailer hitch, and the truck
starts to pull. Meanwhile, Roman and Shanice get behind the car and push. The truck generates a
horizontal force of 377 lb on the car. Roman and Shanice are pushing at a slight upward angle and generate
a force of 119 lb on the car. These forces can be represented by vectors, as shown in the figure below. The
angle between these vectors is 20.2°. Find the resultant force (the vector sum), then give its magnitude
and its direction angle from the positive x-axis.
119 lb
20.2°
377 lb
An airplane flies due west at an airspeed of 428 mph. The wind blows in the direction of 41° south of west
at 50 mph. What is the ground speed of the airplane? What is the bearing of the airplane?
A vector with magnitude 5 points in a direction 190 degrees counterclockwise from the positive x axis.
Write the vector in component form, and show your answers accurate to 3 decimal places.
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