Cellphone Revenues The annual revenue for cellphone use in China for the period 2000–2005 was projected to follow the equation 60 R ( t ) = 14 t + 24 billon dollars inyear t . ( t = 0 represents2000.) At the same time, there were approximately 68 million subscribers in 2000. Assuming that the number of subscribers increases exponentially with an annual growth constant of 10%, give a formula for the annual revenue per subscriber in year t . Hence, project to the nearest dollar the annual revenue per subscriber and its rate of change in 2002. (Be careful with units!)
Cellphone Revenues The annual revenue for cellphone use in China for the period 2000–2005 was projected to follow the equation 60 R ( t ) = 14 t + 24 billon dollars inyear t . ( t = 0 represents2000.) At the same time, there were approximately 68 million subscribers in 2000. Assuming that the number of subscribers increases exponentially with an annual growth constant of 10%, give a formula for the annual revenue per subscriber in year t . Hence, project to the nearest dollar the annual revenue per subscriber and its rate of change in 2002. (Be careful with units!)
Solution Summary: The author calculates the formula for the annual revenue per subscriber in year t and the rate of change in 2002.
Cellphone Revenues The annual revenue for cellphone use in China for the period 2000–2005 was projected to follow the equation60
R
(
t
)
=
14
t
+
24
billon dollars
inyear t. (
t
=
0
represents2000.) At the same time, there were approximately 68 million subscribers in 2000. Assuming that the number of subscribers increases exponentially with an annual growth constant of 10%, give a formula for the annual revenue per subscriber in year t. Hence, project to the nearest dollar the annual revenue per subscriber and its rate of change in 2002. (Be careful with units!)
The velocity of a particle moves along the x-axis and is given by the equation ds/dt = 40 - 3t^2 m/s. Calculate the acceleration at time t=2 s and t=4 s. Calculate also the total displacement at the given interval. Assume at t=0 s=5m.Write the solution using pen and draw the graph if needed.
The velocity of a particle moves along the x-axis and is given by the equation ds/dt = 40 - 3t^2 m/s. Calculate the acceleration at time t=2 s and t=4 s. Calculate also the total displacement at the given interval. Assume at t=0 s=5m.Write the solution using pen and draw the graph if needed.
4. Use method of separation of variable to solve the following wave equation
მłu
J²u
subject to
u(0,t) =0, for t> 0,
u(л,t) = 0, for t> 0,
=
t> 0,
at²
ax²'
u(x, 0) = 0,
0.01 x,
ut(x, 0) =
Π
0.01 (π-x),
0
Chapter 4 Solutions
Student Solutions Manual for Waner/Costenoble's Applied Calculus, 7th
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