Question 1 Which of the following sets of functions are linearly independent on (0, ∞o)? {e³e5, er} {1, x+3, 2x, tan x} {6,6*+²} {1, cos x, sin r} {1, sin² r, cos²x} O {√x, x, x²} Question 2 Find the Wronskian of the functions et and e O2e4 O4e¹2 O-2e4 O4e2 2e²

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.2: Systems Of Linear Equations In Two Variables
Problem 49E
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Question 1
Which of the following sets of functions are linearly independent on (0, ∞o)?
{e³e5e6}
{1,2+3, 2x, tan x}
{6,6+²}
{1, cos x, sin x}
{1, sin² x, cos²x}
0 {√x, x, x²}
Question 2
Find the Wronskian of the functions et and ea
O2e4
O4e¹2
O-2e4
O4e2r
O 2e2
Transcribed Image Text:Question 1 Which of the following sets of functions are linearly independent on (0, ∞o)? {e³e5e6} {1,2+3, 2x, tan x} {6,6+²} {1, cos x, sin x} {1, sin² x, cos²x} 0 {√x, x, x²} Question 2 Find the Wronskian of the functions et and ea O2e4 O4e¹2 O-2e4 O4e2r O 2e2
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