Population decrease of russia. The population of Russia dropped from 150 million in 1995 to 142.5 million in 2013. ( Source : CIA– The World Factbook .) Assume that P ( t ) , the population, in millions, t years after 1995, is decreasing according to the exponential decay model. a. Find the value of k , and write the equation. b. Estimate the population of Russia in 2018. c. When will the population of Russia be 100 million?
Population decrease of russia. The population of Russia dropped from 150 million in 1995 to 142.5 million in 2013. ( Source : CIA– The World Factbook .) Assume that P ( t ) , the population, in millions, t years after 1995, is decreasing according to the exponential decay model. a. Find the value of k , and write the equation. b. Estimate the population of Russia in 2018. c. When will the population of Russia be 100 million?
Solution Summary: The author calculates the value of k and the exponential function that describe the population of Russia after time.
Population decrease of russia. The population of Russia dropped from 150 million in 1995 to 142.5 million in 2013. (Source: CIA–The World Factbook.) Assume that
P
(
t
)
, the population, in millions, t years after 1995, is decreasing according to the exponential decay model.
a. Find the value of k, and write the equation.
b. Estimate the population of Russia in 2018.
c. When will the population of Russia be 100 million?
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
Solve the following heat equation by method of separation variables:
ди
=
at
subject to
u(0,t) =0, for
-16024
ძx2 •
t>0, 0 0,
ux (4,t) = 0, for
t> 0,
u(x, 0) =
(x-3,
\-1,
0 < x ≤2
2≤ x ≤ 4.
ex
5.
important aspects.
Graph f(x)=lnx. Be sure to make your graph big enough to easily read (use the space given.) Label all
6
33
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
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