Use the transforms in section 4.1 to find the laplace transform of the function. t^3/2 - e^-10t

Laplace transformation of =

Step-by-step explanation:

Laplace transformation of

the integral is now in gamma function form

now laplace of

hence

Laplace transformation of =

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1