VALUE=_(alpha )BY SIGN CRITERION FIND FROM THE LAPLACE FUNCTION BY THE CONDITION Select one: Phi (z_(alpha ))=alpha Phi (z_(alpha ))=(1-2alpha )/(2) Phi (z_(alpha ))=(alpha )/(2) Phi (z_(alpha ))=(1-alpha )/(2) Phi (z_(alpha ))=1-(alpha )/(2)

To find the Laplace transform of the function , we can use the Laplace transform of the exponential function.The Laplace transform of the exponential function is given by: where is the complex frequency variable.Now, let's consider the given function , where is the unit step function.The unit step function is defined as: To find the Laplace transform of , we can use the convolution theorem: The Laplace transform of the unit step function is given by: Now, we can substitute the Laplace transforms into the equation: Therefore, the correct answer is: