Let a postfix, superscript $T$ mean matrix$-$transpose. In part $($d$),$ be sure to include the constant of integration.

Let pin$(R{R}^2)$ with $p(t)=[t,4t^3{]}^T.$

$($a$)eva{l}_t=2^{\text{e}\text{v}\text{a}}p(t)=$

$($b$)d{t}^{d}p(t)=$

$($c$)e_t=2^{\text{e}\text{v}\text{a}\text{l}dt}p(t)=$

$($d$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}p(t)dt=$