Find all the roots of the given function. Use preliminary analysis and graphing to find good initial approximations. f(x)= 3lnx-x2+4x-1 The function has root(s) at x≈ ?
Find all the roots of the given function. Use preliminary analysis and graphing to find good initial approximations. f(x)= 3lnx-x2+4x-1 The function has root(s) at x≈ ?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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1. Find all the roots of the given function. Use preliminary analysis and graphing to find good initial approximations.
f(x)= 3lnx-x2+4x-1
The function has root(s) at
x≈ ?
enter your response here.
(Round to six decimal places as needed. Use a comma to separate answers as needed.)
2. Use Newton's method to approximate all the intersection points of the following pair of curves. Some preliminary graphing or analysis may help in choosing good initial approximations.
y=6sinx et y=8x/5
The graphs intersect when
x≈?
enter your response here.
(Do not round until the final answer. Then round to six decimal places as needed. Use a comma to separate answers as needed.)
3.
Question content area top
Part 1
Use Newton's method to approximate all the intersection points of the following pair of curves. Some preliminary graphing or analysis may help in choosing good initial approximations.
y=1/x
and
y=25-4x2
The graphs intersect when
x≈?
enter your response here.
(Do not round until the final answer. Then round to six decimal places as needed. Use a comma to separate answers as needed.)
4.
Where is the first local minimum of
f(x)=cosx/x
on the interval
(0,∞)
located?The first local minimum of
(x)=cosx/x
occurs at
x≈?
enter your response here.
(Round to six decimal places as needed.)
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