-26.6 Let s(x) = x – + ... and c(x) = 1– +- for x E R. -- . (a) Prove s' = c and c' (b) Prove (s? + c²)' = 0. (c) Prove s² +c² = 1.
-26.6 Let s(x) = x – + ... and c(x) = 1– +- for x E R. -- . (a) Prove s' = c and c' (b) Prove (s? + c²)' = 0. (c) Prove s² +c² = 1.
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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Please slove by ELEMENTARY ANALYSIS. Thanks!
Transcribed Image Text:26.6 Let s(x) = x –
and c(x) = 1- +-. for x E R.
for x € R.
-. ..
(a) Prove s' = c and c'
-s.
(b) Prove (s² +c²)' = 0.
(c) Prove s² +c² = 1.
= sin x and c(x)
Actually s(x)
facts.
= cos x, but you do not need these
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