S Show that {cos(kt)} = $2+k2 using the following two facts: L{f'(t)} = sF(s) - f(0) and • L{sin(kt)} = k $2+k2

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.5: Derivatives Of Logarithmic Functions
Problem 47E
Question
S
Show that {cos(kt)}
=
$2+k2
using the following two facts:
L{f'(t)} = sF(s) - f(0) and
• L{sin(kt)}
=
k
$2+k2
Transcribed Image Text:S Show that {cos(kt)} = $2+k2 using the following two facts: L{f'(t)} = sF(s) - f(0) and • L{sin(kt)} = k $2+k2
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