MATH 314 Study Guide - Final Guide: Multiple Integral, Fourier Series
21 Sep 2015
School
Department
Course
Professor
Document Summary
Math 264 - advanced calculus - final exarn. December l7,,2oog: evaluate the double integral rr o 2. 0 { t 1 2 r . f i. R3d. y + y3dr where c1 is the circle of radius 1 centered at the origin travelled co,rrrterclf,ckwise and cz is the circle of radius 2 centered at the origin travelled clockwise. State gauss" theorem (also known as the divergence theorem): let f - rg2i+yz2 j+r2zk and 5 be the sphere of radius 1 centered at the origin. Orient 5 with the outwa. rrl pointing norma,l vector. { 2 o r i e n t e d u p w a r d . Stokes" theorem for f : rgi * az: + rzk and . s by computing f jf ") llvxfond^e. 5c . d b) -fc f o dr, where c is the corresponding oriented boundary of s. o: solve the wave eouation.
