For the function f(x) = sin(3x), find the smallest value of X1 such that Rolle's Theorem is applicable over the interval (Use symbolic notation and fractions where needed.) X1 Find all values of c satisfying f'(c) = 0 for the found interval. (Use symbolic notation and fractions where needed. Give your answer as a comma separated list. )
For the function f(x) = sin(3x), find the smallest value of X1 such that Rolle's Theorem is applicable over the interval (Use symbolic notation and fractions where needed.) X1 Find all values of c satisfying f'(c) = 0 for the found interval. (Use symbolic notation and fractions where needed. Give your answer as a comma separated list. )
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Problem Statement:**
For the function \( f(x) = \sin(3x) \), find the smallest value of \( X_1 \) such that Rolle's Theorem is applicable over the interval \(\left[ \frac{\pi}{12}, X_1 \right]\).
*Instructions:* Use symbolic notation and fractions where needed.
**Answer Box:**
\( X_1 = \) [Input Box]
---
**Additional Task:**
Find all values of \( c \) satisfying \( f'(c) = 0 \) for the found interval.
*Instructions:* Use symbolic notation and fractions where needed. Give your answer as a comma separated list.
**Answer Box:**
\( c = \) [Input Box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7212e84b-4fc5-4f50-9728-8e832a261c76%2F39603fce-621b-4f2c-b9ff-9b6904a80a59%2Fyoqxouq_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
For the function \( f(x) = \sin(3x) \), find the smallest value of \( X_1 \) such that Rolle's Theorem is applicable over the interval \(\left[ \frac{\pi}{12}, X_1 \right]\).
*Instructions:* Use symbolic notation and fractions where needed.
**Answer Box:**
\( X_1 = \) [Input Box]
---
**Additional Task:**
Find all values of \( c \) satisfying \( f'(c) = 0 \) for the found interval.
*Instructions:* Use symbolic notation and fractions where needed. Give your answer as a comma separated list.
**Answer Box:**
\( c = \) [Input Box]
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