Consider the Car database with the following relation:

Distributor $($DID$,$ Distributor$\_$Name, Address, Contact$1,$ Contact$2)$

Cars $($CID$,$ Car$\_$Name, Color, Price, Car$\_$Type$)$

Catalogue $($DID$,$ CID, Cost, Model$)$

Write the following queries in relational algebra:

$($i$)$ How many swift car distributors are available in Vellore?

$($ii$)$ Display all distributer available in Vellore having red colour car.

$($iii$)$ Display the name, address and contact number of the distributors who distribute SUV

or Sedan Cars.

$($iv$)$ Display the cost of SUV given by all distributors.