The exponential growth models describe the population of the indicated country, A, in millions, t years after 2006. Canada A = 33.1 e 0.009 t Uganda A = 38.2 e 0.034 t In Exercises 77-80, use this information to determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. In 2006, Canada’s population exceeded Uganda's by 4.9 million.
The exponential growth models describe the population of the indicated country, A, in millions, t years after 2006. Canada A = 33.1 e 0.009 t Uganda A = 38.2 e 0.034 t In Exercises 77-80, use this information to determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. In 2006, Canada’s population exceeded Uganda's by 4.9 million.
Solution Summary: The author explains that the exponential growth function for Canada is A=33.1e0.009t where A represents the population of Canada in millions, t years after 2006.
The exponential growth models describe the population of the indicated country, A, in millions, t years after 2006.
Canada
A
=
33.1
e
0.009
t
Uganda
A
=
38.2
e
0.034
t
In Exercises 77-80, use this information to determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.
In 2006, Canada’s population exceeded Uganda's by 4.9 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
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