[20] Find the correlation coefficient

\\\ ho

between

x(t)

and each of the four pulses

g_(1)(t),g_(2)(t)

,

g_(3)(t)

, and

g_(4)(t)

as shown below.\

x(t)=sin(2\\\\pi t),0

\

g_(1)(t)=sin(4\\\\pi t),0

\

g_(3)(t)=-0.5sin(2\\\\pi t),0

1. [20] Find the correlation coefficient between x(t) and each of the four pulses g1(t),g2(t), g3(t), and g4(t) as shown below. x(t)=sin(2t),0t1 g1(t)=sin(4t),0t1g2(t)=cos(4t),0t1 g3(t)=0.5sin(2t),0t1g4(t)=1,0t1