Let$$CC be a curve starting at the point $($a$,$b$)($a$,$b$)$ and ending at the point$($c$,$d$)($c$,$d$).$ Let$$C$$C be the same path that is now traversed in the opposite direction: i$.$e$.$ starting at $($c$,$d$)($c$,$d$)$ and ending at$($a$,$b$)($a$,$b$).$ Answer the following questions below.

For a function$$f$($x$,$y$)$f$($x$,$y$)$

$$

$$Cfds$=$Cfds$$Cfds$=$Cfds

Question $5$Select one:

True

False

For a function$$f$($x$,$y$)$f$($x$,$y$)$

$$

$$Cfdx$=$Cfdx$$Cfdx$=$Cfdx

Question $6$Select one:

True

False

For a vector field F$($x$,$y$)$F$($x$,$y$)$

$$CF$$dr$=$CF$$dr$$CF$$dr$=$CF$$dr

Question $7$Select one:

True

False