Q2 gt where gt is the product of unit step function 0 before

Q2. g(t) where g(t) is the product of unit step function (0 before 2 and 1 after 2) and t

Solution

Let p(t) be the unit step function,

Then p(t)= 0, t<2

= 1, t>2

and let q(t) = t^2 for any real value of t

When t<2,

g(t)= p(t) q(t) = 0*t^2 = 0

when t>2,

g(t)= p(t)q(t) = 1*t^2= t^2

so g(t) = 0, t<2

= t^2 , t>2