Please Do All the Questions in these 2 Papers. Thanks. Homework "LAPLACE TRANSFORM"9. variant1) Find the Laplace transform of the originala) f(t) =2cos6t-1-e²'sin2tb) f(t) = [ ucos5udu2) Find the original of the Laplace transforma) F(p) =P+1'1+ pp - 4p+92-p(p+4)(p +1)’b) F(p) =c) F(p) =3) Solve the equation, and verify its solution.y'+8y+ 52y= eУ О) %3 0, у(0) - 4 Homework 1: "COMPLEX VARIABLES"Variant 9.11. Given two complex numbers z =-iandZ =-27i.a) Represent the numbers z and z, graphically in the complex plane;b) Find the principle value of the argument and modulus ofandc) Express the numbers z and z, intrigommetric and exponential fom;18d) Calculate z ande) Calculate all values of the root /z, , and represent these values in the complex plane;f) Represent geometrically points of the complex plane which satisfy the following inequalities:1) Rezs Rez,3) |z-z |<2,2) Imz2 Imz,4) 1<|z-z |5 2,5) s arg z

Name: Please Do All the Questions in these 2 Papers. Thanks. Homework "LAPLA
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Description: Please Do All the Questions in these 2 Papers. Thanks. Homework "LAPLACE TRANSFORM"9. variant1) Find the Laplace transform of the originala) f(t) =2cos6t-1-e²'sin2tb) f(t) = [ ucos5udu2) Find the original of the Laplace transforma) F(p) =P+1'1+ pp -