Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Let f(x) and g(x) are two differentiable function on R satisfying 3 1 +1-x g(t)dt and g(x)= =X- -}ƒ(t)at. f(t)dt. If minimum distance between f(x) and g(x) is d, then 0 f(x) √2 dis = 2 X 0

Let f(x) and g(x) are two differentiable function on R satisfying 3 1 +1-x g(t)dt and g(x)= =X- -}ƒ(t)at. f(t)dt. If minimum distance between f(x) and g(x) is d, then 0 f(x) √2 dis = 2 X 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
100%

I found derivatives of f(x) using Newton- Leibniz and then g'(x) too. I equated both of them, put g(x) back into f'(x) because the expression of f'(x) had a term of g(x). Then, I differentiated the final expression again in hopes of getting the actual function of g(x). However, doing all of this got me nowhere. 

Please provide a solution with explanation of the thought process too.

Let f(x) and g(x) are two differentiable function on R satisfying 3 f(x)=+1-xg(t)dt 2 √√2d is X -xſg(t)dt 1 and g(x)= x − [ f(t)dt . If minimum distance between f(x) and g(x) is d, then 0
Transcribed Image Text:Let f(x) and g(x) are two differentiable function on R satisfying 3 f(x)=+1-xg(t)dt 2 √√2d is X -xſg(t)dt 1 and g(x)= x − [ f(t)dt . If minimum distance between f(x) and g(x) is d, then 0
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
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,
SEE MORE TEXTBOOKS