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.
EXAMPLE 3
Find
S
X
√√2-2x2
dx.
SOLUTION Let u = 2 - 2x². Then du =
Χ
dx =
2- 2x²
=
信
du
dx, so x dx =
du and
u-1/2 du
(2√u) + C
+ C (in terms of x).
Let g(z) =
z-i
z+i'
(a) Evaluate g(i) and g(1).
(b) Evaluate the limits
lim g(z), and lim g(z).
2-12
(c) Find the image of the real axis under g.
(d) Find the image of the upper half plane {z: Iz > 0} under the function g.
Chapter 4 Solutions
Calculus: An Applied Approach (MindTap Course List)
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