3. Suppose that {f(t)} = F(s) with F a differentiable function and that L{f'(t)} Exists. Then L{-te¹2t f'(t)} is equal to:

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.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
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3. Suppose that {f(t)} F(s) with F a differentiable function and that L{f'(t)}
Exists. Then L{-te¹2t f'(t)} is equal to:
A) SF'(s) + F(s)
B) (s12) F'(s 12) + F(- 12)
C) (s 12)F(s - 12)-f(0)
D) (s12) F'(s12) + F(0)
Transcribed Image Text:3. Suppose that {f(t)} F(s) with F a differentiable function and that L{f'(t)} Exists. Then L{-te¹2t f'(t)} is equal to: A) SF'(s) + F(s) B) (s12) F'(s 12) + F(- 12) C) (s 12)F(s - 12)-f(0) D) (s12) F'(s12) + F(0)
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