Which of the following are not linearly independent with the others? Select those that are linearly dependent. Your answer should be multiple selections. cos(2z) et+2 rez+1 2 sin(r)

Calculus: Early Transcendentals
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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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## Linear Dependence Exercise

**Question:**

Which of the following are **not** linearly independent with the others? **Select those that are linearly dependent.** 

*Your answer should include multiple selections.*

- [ ] \( \cos(2x) \)
- [ ] \( e^{x+2} \)
- [ ] \( 2e^{2x} \)
- [ ] \( xe^{2x+1} \)
- [ ] \( e^{2x+1} \)
- [ ] \( 2 \sin(x) \)
Transcribed Image Text:## Linear Dependence Exercise **Question:** Which of the following are **not** linearly independent with the others? **Select those that are linearly dependent.** *Your answer should include multiple selections.* - [ ] \( \cos(2x) \) - [ ] \( e^{x+2} \) - [ ] \( 2e^{2x} \) - [ ] \( xe^{2x+1} \) - [ ] \( e^{2x+1} \) - [ ] \( 2 \sin(x) \)
Expert Solution
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First I have written the definition of Linearly dependent functions, just use them and find that , 2e^(2x) and e^(2x+1) are linearly dependent functions.

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