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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![For the function \( f(x) = \sin(3x) \), find the smallest value of \( X_1 \) such that Rolle's Theorem is applicable over the interval \(\left[ \frac{\pi}{12}, X_1 \right] \).
(Use symbolic notation and fractions where needed.)
\[ X_1 = \]
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.)
\[ c = \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7212e84b-4fc5-4f50-9728-8e832a261c76%2F687d0743-58e1-4007-9eff-b23ef8d0ffc1%2Facf34xk_processed.png&w=3840&q=75)
Transcribed Image Text:For the function \( f(x) = \sin(3x) \), find the smallest value of \( X_1 \) such that Rolle's Theorem is applicable over the interval \(\left[ \frac{\pi}{12}, X_1 \right] \).
(Use symbolic notation and fractions where needed.)
\[ X_1 = \]
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.)
\[ c = \]
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