$10\mathrm{.}1$ The following sets of values for $v$ and i pertain to the circuit seen in Fig. $10\mathrm{.}1.$ For each set of values, calculate $P$ and $Q$ and state whether the circuit inside the box is absorbing or delivering $(1)$ average power and $(2)$ magnetizing vars.

a$)$

$v=250cos(t+45)V$

$i=4sin(t+60)A.$

b$)$

$v=18cos(t-30)V,$

$i=5cos(t-75)A.$

c$)$

$v=150sin(t+25)V,$

$i=2cos(t+50)A.$

d$)$

$v=80cos(t+120)V$

$i=10cos(t+170)A.$