90. Rates of Growth (a) By drawing the graphs of the functions f(x) = 1 + In(1 + x) and g(x) = Vĩ in a suitable viewing rectangle, show that even when a logarithmic function starts out higher than a root func- tion, it is ultimately overtaken by the root function. (b) Find, rounded to two decimal places, the solutions of the equation Vx = 1 + In(1 + x).

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter1: Equations And Graphs
Section1.7: Solving Inequalities
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. Rates of Growth
(a) By drawing the graphs of the functions

90. Rates of Growth
(a) By drawing the graphs of the functions
f(x) = 1 + In(1 + x)
and
g(x) = Vĩ
in a suitable viewing rectangle, show that even when a
logarithmic function starts out higher than a root func-
tion, it is ultimately overtaken by the root function.
(b) Find, rounded to two decimal places, the solutions of the
equation Vx = 1 + In(1 + x).
Transcribed Image Text:90. Rates of Growth (a) By drawing the graphs of the functions f(x) = 1 + In(1 + x) and g(x) = Vĩ in a suitable viewing rectangle, show that even when a logarithmic function starts out higher than a root func- tion, it is ultimately overtaken by the root function. (b) Find, rounded to two decimal places, the solutions of the equation Vx = 1 + In(1 + x).
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