Problem $7.(22$ points$)$

In this problem, use the general expressions for left and right sums,

and

and the following table:

left$-$hand sum $=f(t_0)t+f(t_1)t+$cdots$+f(t_{n-1})t$

right$-$hand sum $=f(t_1)t+f(t_2)t+$cdots$+f(t_n)t$

$\backslash$table$[[t,0,3,6,9,12],[f(t),35,32,30,26,22]]$

A$.$ If we use $n=4$ subdivisions, fill in the values:

$t=$

$t_0=$;$t_1=,$;$t_2=,$;$t_3=,$;$t_4=$

$f(t_0)=,$;$f(t_1)=,$;$f(t_2)=$;$f(t_3)=,$;$f(t_4)=$

$$

B$.$ Find the left and right sums using $n=4$

left sum $=$

right sum $=$

C$.$ If we use $n=2$ subdivisions, fill in the values:

$t=$

$t_0=$;$t_1=$;$t_2=$

$f(t_0)=,$;$f(t_1)=$;$f(t_2)=$

$$

D$.$ Find the left and right sums using $n=2$

left sum $=$

right sum $=$

Note: You can earn partial credit on this problem.