Commercial Vehicle Registrations In a report issued by the Economist Intelligence Unit in 2013, the number of commercial vehicle registrations in the United States (in thousands) by year from 2010 through 2015 is approximated by the function N ( t ) = 1.3926 t 3 − 9.2873 t 2 + 74.719 t + 228.3 ( 0 ≤ t ≤ 5 ) where t is measured in years with t = 0 corresponding to 2010. If the projection holds up, what would the approximate average commercial vehicle registration per year be in the period from 2010 through 2015?
Commercial Vehicle Registrations In a report issued by the Economist Intelligence Unit in 2013, the number of commercial vehicle registrations in the United States (in thousands) by year from 2010 through 2015 is approximated by the function N ( t ) = 1.3926 t 3 − 9.2873 t 2 + 74.719 t + 228.3 ( 0 ≤ t ≤ 5 ) where t is measured in years with t = 0 corresponding to 2010. If the projection holds up, what would the approximate average commercial vehicle registration per year be in the period from 2010 through 2015?
Solution Summary: The author explains how the function N(t) calculates the number of commercial vehicle registration in the United States by year from 2010 through 2015.
Commercial Vehicle Registrations In a report issued by the Economist Intelligence Unit in 2013, the number of commercial vehicle registrations in the United States (in thousands) by year from 2010 through 2015 is approximated by the function
N
(
t
)
=
1.3926
t
3
−
9.2873
t
2
+
74.719
t
+
228.3
(
0
≤
t
≤
5
)
where t is measured in years with t = 0 corresponding to 2010. If the projection holds up, what would the approximate average commercial vehicle registration per year be in the period from 2010 through 2015?
find the zeros of the function algebraically:
f(x) = 9x2 - 3x - 2
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
Chapter 6 Solutions
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
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