Find the relative maxima of ƒ(x) = cos²(7x) on the interval (0, 1.795) by applying the First Derivative Test. Round numerical values in your answer to three decimal places. Select one: a. relative maxima: (0.898, 1), (1.122, 1), (1.346, 11.795) b. relative maxima: (0.224, 1), (0.449, 1), (0.673, 1) c. relative maxima: e. (0.449, 1), (0.898, 1), (1.346, 1) d. relative maxima: X (0.224, 1), (0.673, 1), (1.122, 1), (1.571, 1) relative maxima: (0.224, 0), (0.673, 0), (1.122, 0), (1.571, 0) Inca

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...
Question
HELP PLEASE!
### Problem Statement

Find the relative maxima of \( f(x) = \cos^2(7x) \) on the interval \( (0, 1.795) \) by applying the First Derivative Test. Round numerical values in your answer to three decimal places.

### Options

Choose one of the following:

- **a.** relative maxima:  
  \( (0.898, 1), (1.122, 1), (1.346, 11.795) \)

- **b.** relative maxima:  
  \( (0.224, 1), (0.449, 1), (0.673, 1) \)

- **c.** relative maxima:  
  \( (0.449, 1), (0.898, 1), (1.346, 1) \)

- **d.** relative maxima:  
  \( (0.224, 1), (0.673, 1), (1.122, 1), (1.571, 1) \)

- **e.** relative maxima:  
  \( (0.224, 0), (0.673, 0), (1.122, 0), (1.571, 0) \)

*Note: Option **d** was indicated as incorrect in the original image.*
Transcribed Image Text:### Problem Statement Find the relative maxima of \( f(x) = \cos^2(7x) \) on the interval \( (0, 1.795) \) by applying the First Derivative Test. Round numerical values in your answer to three decimal places. ### Options Choose one of the following: - **a.** relative maxima: \( (0.898, 1), (1.122, 1), (1.346, 11.795) \) - **b.** relative maxima: \( (0.224, 1), (0.449, 1), (0.673, 1) \) - **c.** relative maxima: \( (0.449, 1), (0.898, 1), (1.346, 1) \) - **d.** relative maxima: \( (0.224, 1), (0.673, 1), (1.122, 1), (1.571, 1) \) - **e.** relative maxima: \( (0.224, 0), (0.673, 0), (1.122, 0), (1.571, 0) \) *Note: Option **d** was indicated as incorrect in the original image.*
Expert Solution
Step 1

Given that 

     f(x) = cos2(7x) 

steps

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