1 The Laplace transform of a continuous function over the interval 10, as) is defined by F (S)= (-5*pudx. This defination is used to solve important initial-value problem in differential equations. the domain of F is etre set of all real numbers s such that the improper integral converges Find the Laplace transform F of the following function. f ( x) = cos ( 3x ) 2 Find the area under the carve y = 1.5 x-25 from x = 9 to x = t and evaluate it for + = 10, 2= 100 Then Find the total area under this curve for x29. a) t = 10 6) t = 100 () Tolal area