Write functional programs defining cube (the function that computes the third power of a number) and double (the function that doubles its argument). Describe the reduction sequences for the...

Write functional programs defining cube (the function that computes the

third power of a number) and double (the function that doubles its argument). Describe the reduction sequences for the expression

cube (double (3 + 1))

using call-by-name (normal order) and call-by-value (applicative order).