Useful life . An amusement company maintains records for each video game it installs in an arcade. Suppose that C ( t ) and R ( t ) represent the total accumulated costs and revenues (in thousands of dollars), respectively, t years after a particular game has been installed. If C ′ ( t ) = 2 and R ′ ( t ) = 9 e − 0.3 t then find the area between the graphs of C ′ and R ′ over the interval on the t axis from 0 to the useful life of the game and interpret the results.
Useful life . An amusement company maintains records for each video game it installs in an arcade. Suppose that C ( t ) and R ( t ) represent the total accumulated costs and revenues (in thousands of dollars), respectively, t years after a particular game has been installed. If C ′ ( t ) = 2 and R ′ ( t ) = 9 e − 0.3 t then find the area between the graphs of C ′ and R ′ over the interval on the t axis from 0 to the useful life of the game and interpret the results.
Solution Summary: The author shows the graph of the functions C(t) and R' over the interval on the t axis from 0.
Useful life. An amusement company maintains records for each video game it installs in an arcade. Suppose that C(t) and R(t) represent the total accumulated costs and revenues (in thousands of dollars), respectively, t years after a particular game has been installed. If
C
′
(
t
)
=
2
and
R
′
(
t
)
=
9
e
−
0.3
t
then find the area between the graphs of C′ and R′ over the interval on the t axis from 0 to the useful life of the game and interpret the results.
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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