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Calculus
[1] Show that the functions In x, In(x) are linearly dependent on (0, co)..

[1] Show that the functions In x, In(x) are linearly dependent on (0, co)..

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please answer Question 1
**Problem 1:** Show that the functions \( \ln x \), \( \ln(x^2) \) are linearly dependent on \( (0, \infty) \). **Problem 2:** Show that the functions \( f_1(x) = 4x^n \) and \( f_2(x) = x^{n+4} \) are linearly independent. (Note: There are no graphs or diagrams associated with this image.)
Transcribed Image Text:**Problem 1:** Show that the functions \( \ln x \), \( \ln(x^2) \) are linearly dependent on \( (0, \infty) \). **Problem 2:** Show that the functions \( f_1(x) = 4x^n \) and \( f_2(x) = x^{n+4} \) are linearly independent. (Note: There are no graphs or diagrams associated with this image.)
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