MATH 215 Study Guide - Midterm Guide: Polar Regions Of Earth, Virginia High School League, Regions Of Johannesburg
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Integral calculates the volume of the surface to the x-y plane: volume under = , above x-y plane is, properties. , where r = [a,b] x [c,d: average value of (, ) on r is. 1 wherever f(x,y) is continuous: occasionally, , = (), then. 1: when surface goes below the x-y plane, you subtract the volume below x-y. 15. 2 double integrals over general regions: region types, type i: lies between continuous functions of x. B: type ii: lies between continuous functions of y. If (, ) on d where m, m, and d are numbers. If = {(, )| , }, then: sometimes, if is continuous on a polar region of the form = {(, )| , + . 15. 4 center of mass: given density function (, ), , center of mass is (, ) where = 15. 3 double integrals in polar: : = : + :, = cos , = sin.
