$($a$)$ Suppose $h$ is a function with a continuous second derivative that satisfies

$h(3)=-7,h(7)=5$

$h^{\text{'}}(3)=1,h^{\text{'}}(7)=0$

$h^{\text{'}\text{'}}(3)=-5,h^{\text{'}\text{'}}(7)=-4.$

Evaluate the following definite integral, where a and $b$ are real$-$valued constants:

${\displaystyle \underset{3}{\overset{7}{}}}(ax+b)h^{\text{'}\text{'}}(x)dx=a+$

$$

$($b$)$ Suppose $g$ is a function with a continuous second derivative that satisfies

$g(7)=-15,g(14)=11$

$g^{\text{'}}(7)=2,g^{\text{'}}(14)=8$

$g^{\text{'}\text{'}}(7)=-1,g^{\text{'}\text{'}}(14)=-13$

Evaluate the following definite integral:

${\displaystyle \underset{7}{\overset{14}{}}}{g}^{\text{'}}(t)g^{\text{'}\text{'}}(t)dt=$

$$