Which of the Following Sets of Functions Are Linearly Independent $( 0 , \infty )$

question 36

Multiple Choice

Which of the following sets of functions are linearly independent on $( 0 , \infty )$ ? Select all that apply.

• A) \(\left\{ 1 , \sin ^ { 2 } x , \cos ^ { 2 } x \right\}\)
• B) \(\{ 1 , x + 3,2 x \}\)
• C) \(\left\{ \sqrt { x } , x , x ^ { 2 } \right\}\)
• D) \(\left\{ 1 , \tan ^ { 2 } x , \sec ^ { 2 } x \right\}\)
• E) \(\{ 1 / x , x , \ln x \}\)

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