Recall that cos(bt) = (eibe. ¹+eibt) and sin(bt) = 2 (eibl - e-ibt). 2i Use the linearity of the Laplace transform to find the Laplace transform of the function given below; a and b are real constants. Assume that the necessary elementary integration formulas extend t this case. f(t) = eat sin(bt) NOTE: Your answer should be an expression in terms of a, b, and s. It must be fully simplified. It cannot contain i. L{f(t)}
Recall that cos(bt) = (eibe. ¹+eibt) and sin(bt) = 2 (eibl - e-ibt). 2i Use the linearity of the Laplace transform to find the Laplace transform of the function given below; a and b are real constants. Assume that the necessary elementary integration formulas extend t this case. f(t) = eat sin(bt) NOTE: Your answer should be an expression in terms of a, b, and s. It must be fully simplified. It cannot contain i. L{f(t)}
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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![1
Recall that cos(bt) (eibt + e-ibt) and sin(bt) = (eit e ibt).
2i
2
Use the linearity of the Laplace transform to find the Laplace
transform of the function given below; a and b are real constants.
Assume that the necessary elementary integration formulas extend to
this case.
f(t)= eat sin(bt)
NOTE: Your answer should be an expression in terms of a, b, and s.
It must be fully simplified. It cannot contain i.
L{f(t)} =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35862325-ca63-40be-a5be-4ed6b9a19979%2F10cc4012-ebc1-4046-a913-2cde77c0eecd%2Fk638k5_processed.png&w=3840&q=75)
Transcribed Image Text:1
Recall that cos(bt) (eibt + e-ibt) and sin(bt) = (eit e ibt).
2i
2
Use the linearity of the Laplace transform to find the Laplace
transform of the function given below; a and b are real constants.
Assume that the necessary elementary integration formulas extend to
this case.
f(t)= eat sin(bt)
NOTE: Your answer should be an expression in terms of a, b, and s.
It must be fully simplified. It cannot contain i.
L{f(t)} =
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