Q$\mathrm{.}1$: fill in the table down in this page with the symbols of the correct asswers $(1,5$ point each$)1)$ The regtangu lar coordinates for the polar point $($V$2,)$ are:a$)(-1,-1)$e$)2)$ The graph of the curve r$=1+$ sin is a:a$)$ cordiondb$)(-1,1)$b$)$ limsconsin$($x$))=$b$)2$The slpe of the tangent line to the paramatriv curve Z $=$ cos t$,$ y$=$ sint at t$=$ is:a$)-16)$ The following integral is improper:c$)(1,-1)$e$)$none$8)$The value of tan$-\text{'}$ xdx is :$4)$ The area inside the spiral r$=0$ in the first quardrant is: a$)$a$)$ x tan$-$lx$-$x$+$cc$)$ circleal; $+$tt$5)$ The length of polar curve r $=$ sine from $=0$ to $0=$ n $$s:a$)$ ; b$)2$ c$)$; d$)$n e$)$c$)1$a$)$ dx b$)$ S nx dx c$)$f$$ dx d$)$ dx e$)$f dxd$)(1,1)$ e$)(-$v$2,-$V$2)$d$)$ rose curve$9)$ The value of sinx$\text{'}$x is: a; b$)$; c$)$b$)$d$)-2$BX$+$CX$2+1$e$)$ unde finnedb$)$x tan$-\text{'}$ x $-$Hn$|1+$ x$^2+$C $)$x tan$-$l x$-$n$|$x$+$c d$)$ n$+$c$10)$Using the sumstitution x $=$ sin $($with$|$cose$|=$ cos$0,$ the integral dx is:a$)-$sine$+$C b$)$ sin $+$ Cc$)$ csco $+$ C d$)-$csce $+$CB CX$+$De$)$spiralc$)$tt$2+1$y$4+$y$2$e$)0$b$)$ c$)48-$x$4$e$)$noned$)$ titid$)12)$The value of thw improper integral dx is: a$)-2$ b$)-1$ c$)2$ d$)$; e$)1$e$)$ none$11)$The partial function decomposition of the integral in x is: