This exercise should be done using a graphing calculator or computer algebra system. Plot cos(x) + 0.1x in the appropriate viewing rectangle. How many solutions does cos(x) + 0.1x = 0 have? solution(s) How many positive solutions does cos(x) + 0.1x = 0 have? positive solution(s)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 59E
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This exercise should be done using a graphing calculator or computer algebra system.
Plot cos(x) + 0.1x in the appropriate viewing rectangle. How many solutions does cos(x) + 0.1x = 0 have?
solution(s)
How many positive solutions does cos(x) + 0.1x
0 have?
positive solution(s)
Transcribed Image Text:This exercise should be done using a graphing calculator or computer algebra system. Plot cos(x) + 0.1x in the appropriate viewing rectangle. How many solutions does cos(x) + 0.1x = 0 have? solution(s) How many positive solutions does cos(x) + 0.1x 0 have? positive solution(s)
Expert Solution
Step 1

consider this given equation

cosx +0.1x = 0

now it can be expressed as

cos x =-0.1x

So split it into a combination of two separate equation

y = cos xy = -0.1x

Now plotting the graph of these functions separately and find out the point of intersection

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