Relations : A relation R is called circular if a R b and b R c imply that c R a. Show that R is reflexive and circular if and only if it is an equivalence relation.
A relation R is called circular if a R b and b R c imply that c R a.
Show that R is reflexive and circular if and only if it is an equivalence relation.
Circular relations are investigated. The solution is detailed and well presented.
Volume of Solid over a Circular Disk - Using geometry, calculate the volume of the solid under z =(36- x^2 - y^2)^(1/2) and over the
circular disk x^2 + y^2 = 36 .
Volume of Right circular Cylinder - Find the maximum possible volume of a right circular cylinder if its total surface area (including both circular ends) is 150pi.
Finding Height of a Cone Given Radius and Volume - A soft- drink cup is in the shape of a right circular cone with a capacity of 250 millilitres. The radius of the circular base is five centimetres. How deep is the cup? (1 millilitre = 1 cubic centime ...