Solution Found!
Let f (t) = t2
Chapter 4, Problem 18(choose chapter or problem)
Let f (t) = t2|t| and g(t) = t3. a. Show that the functions f (t) and g(t) are linearly dependent on 0 < t < 1. b. Show that f (t) and g(t) are linearly dependent on 1 < t < 0. c. Show that f (t) and g(t) are linearly independent on 1 < t < 1. d. Show that W[ f, g](t) is zero for all t in 1 < t < 1. e. Explain why the results in c and d do not contradict Theorem 4.1.3.
Questions & Answers
QUESTION:
Let f (t) = t2|t| and g(t) = t3. a. Show that the functions f (t) and g(t) are linearly dependent on 0 < t < 1. b. Show that f (t) and g(t) are linearly dependent on 1 < t < 0. c. Show that f (t) and g(t) are linearly independent on 1 < t < 1. d. Show that W[ f, g](t) is zero for all t in 1 < t < 1. e. Explain why the results in c and d do not contradict Theorem 4.1.3.
ANSWER:Step 1 of 7
Given:- 
