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a) f(t) = t¯/2 b) f(t) = t\/2 c) f(t) = t32. %3D %3D

a) f(t) = t¯/2 b) f(t) = t\/2 c) f(t) = t32. %3D %3D

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.1: Concept Of A Function
Problem 102PS
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Question

use the definition of gamma function (see in the image) to get the Laplace transformation of each of the following functions (see in the image, there are 3 functions, a, b, c)

a) f(t) = t¯12 b) f(t) = t/2 c) f(t) = t32.
Transcribed Image Text:a) f(t) = t¯12 b) f(t) = t/2 c) f(t) = t32.
r(a) = ta-le-t dt, a > 0 (this is the gamma definition)
Transcribed Image Text:r(a) = ta-le-t dt, a > 0 (this is the gamma definition)
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