Let f(x) be a function on (- 0, 0) and f(x + 2) = f(x - 2). If f(x) = 0 has only three real roots in [O, 4] and one of them is 4, then the number of real roots of f(x) = 0 in (- 8, 10] is

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Let f(x) be a function on (- ∞, ∞) and f(x + 2) = f(x – 2). If
f (x) = 0 has only three real roots in [0, 4] and one of them is 4,
then the number of real roots of f(x) = 0 in (- 8, 10] is
%3D
%3D
|
Transcribed Image Text:Let f(x) be a function on (- ∞, ∞) and f(x + 2) = f(x – 2). If f (x) = 0 has only three real roots in [0, 4] and one of them is 4, then the number of real roots of f(x) = 0 in (- 8, 10] is %3D %3D |
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,