Use Table 1 to evaluate all integrals involved in any solutions of Problems 71 – 94. 92. Politics. The number of voters (in thousands) in a metropoli- tan area is given approximately by f ( t ) = 500 2 + 3 e − t t ≥ 0 where t is time in years. Find the average number of voters during the period from t = 0 to t = 10.
Use Table 1 to evaluate all integrals involved in any solutions of Problems 71 – 94. 92. Politics. The number of voters (in thousands) in a metropoli- tan area is given approximately by f ( t ) = 500 2 + 3 e − t t ≥ 0 where t is time in years. Find the average number of voters during the period from t = 0 to t = 10.
Solution Summary: The author explains how to find the average number of voters in a period of 10 years.
Use Table 1 to evaluate all integrals involved in any solutions of Problems 71–94.
92. Politics. The number of voters (in thousands) in a metropoli- tan area is given approximately by
f
(
t
)
=
500
2
+
3
e
−
t
t
≥
0
where t is time in years. Find the average number of voters during the period from t = 0 to t = 10.
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
The boom OA carries a load P and is supported by two cables as shown. Knowing that the tension in cable AB is 190 lb and that the
resultant of the load P and of the forces exerted at A by the two cables must be directed along OA, determine the tension in cable AC.
29 in.
B
24 in.
36 in.
C
25 in.
48 in..
A
Find the distance (d) from the point (8, -7, -1) to the plane 3x+5y-3z = -60.
The 60-lb collar A can slide on a frictionless vertical rod and is connected as shown to a 65-lb counterweight C. Draw the free-body
diagram of the collar that is needed to determine the value of h for which the system is in equilibrium.
-15 in.
A
60 lb
B
C
h
65 lb
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Definite Integral Calculus Examples, Integration - Basic Introduction, Practice Problems; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=rCWOdfQ3cwQ;License: Standard YouTube License, CC-BY