Graphing Logistic Growth Functions Use a graphing utility to graph the function. Describe the shape of the graph for very large and very small values of x. (a) f ( x ) = 8 1 + e − 0.5 x (b) g ( x ) = 8 1 + e − 0.5 / x
Graphing Logistic Growth Functions Use a graphing utility to graph the function. Describe the shape of the graph for very large and very small values of x. (a) f ( x ) = 8 1 + e − 0.5 x (b) g ( x ) = 8 1 + e − 0.5 / x
Solution Summary: The author explains how to plot the graph of the function f(x)=81+e-0.5x
Graphing Logistic Growth Functions Use a graphing utility to graph the function. Describe the shape of the graph for very large and very small values of x.
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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