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2. Find the arc length function associated to the curve y = ln(cosx), where 0

2. Find the arc length function associated to the curve y = ln(cosx), where 0

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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Find the arc length function associated to the curve y = In(cosx), where 0 <= x <= pi/4

**Answers:** (a) \(\frac{7}{6}\) units \hspace{0.5cm} (b) \(\frac{21}{16}\) units 2. Find the arc length function associated with the curve \(y = \ln(\cos x)\), where \(0 \leq x \leq \frac{\pi}{4}\). **Answer:** \(s(x) = \ln(\sec x + \tan x)\) for \(0 \leq x \leq \frac{\pi}{4}\)
Transcribed Image Text:**Answers:** (a) \(\frac{7}{6}\) units \hspace{0.5cm} (b) \(\frac{21}{16}\) units 2. Find the arc length function associated with the curve \(y = \ln(\cos x)\), where \(0 \leq x \leq \frac{\pi}{4}\). **Answer:** \(s(x) = \ln(\sec x + \tan x)\) for \(0 \leq x \leq \frac{\pi}{4}\)
Expert Solution
Step 1: We have given a function and its interval

y=ln⁡(cos⁡x), where 0⩽x⩽π4.

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