Letr> 2. Show that sin² r - sin² 2 r-2 < 2. Justify your answer. Hint: Apply the Mean Value Theorem to f(x) = sin² x on [2, r].
Letr> 2. Show that sin² r - sin² 2 r-2 < 2. Justify your answer. Hint: Apply the Mean Value Theorem to f(x) = sin² x on [2, r].
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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Question
![Letr>2. Show that
sin² r
sin² 2
r-2
< 2.
Justify your answer.
Hint: Apply the Mean Value Theorem to f(x) = sin² x on [2, r].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F53ab685c-ff0d-4e25-a067-547672574af5%2F0b54c9f7-5351-42d9-9e2c-ded2ff123ae4%2Fdkwnweb_processed.png&w=3840&q=75)
Transcribed Image Text:Letr>2. Show that
sin² r
sin² 2
r-2
< 2.
Justify your answer.
Hint: Apply the Mean Value Theorem to f(x) = sin² x on [2, r].
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