MATH 215 Study Guide - Quiz Guide: Polar Regions Of Earth, Virginia High School League, Regions Of Johannesburg
Document Summary
Integral calculates the volume of the surface to the x-y plane. Volume under above x-y plane is where r = [a,b] x [c,d] Properties: average value of on r is , wherever f(x,y) is continuous. When surface goes below the x-y plane, you subtract the volume below x-y. Region types: type i: lies between continuous functions of x, type ii: lies between continuous functions of y, if on d where m, m, and d are numbers. Sometimes, if is continuous on a polar region of the form , Center of mass is ( where , similar idea for y. , if is continuous over the rectangular box b. If is continuous on b, you can arrange x,y,z, in any order fubini"s theorem. If not on a rectangle, we look at region types: when calculating triple integrals, it"s best to draw two diagrams: one of the solid region.
