Chapter A5.2, Problem 4P

(a)

To determine

The value of $\left(d/dt\right)\left(3\cos 2t-j2\sin 2t\right)$ at $t=0.5$.

(b)

To determine

The value of ${\displaystyle {\int }_0^t\left(3\cos 2t-j2\sin 2t\right)dt}$ at $t=0.5$.

(c)

To determine

The value of ${\displaystyle {\int }_s^{\infty }{s}^{-3}ds}$ at $s=1+j2$.

(d)

To determine

The value of $\left(d/ds\right)\left[3/\left(s+2\right)\right]$ at $s=1+j2$.