MAT 397 Study Guide - Midterm Guide: Regions Of Johannesburg, Conservative Vector Field
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Correct answers should be supported by your calculations and reasoning where appropriate. Unsupported answers may receive little or no credit. Turn off and put away all cell phones and similar devices: let a=3i-6j +2kand let b:3i- j +3k. Let f (x,y): xsiny * *2 * y, find the linearization of f (x,y) at the point (3,f). Find the local maxima, local f (x,y)=6y2 +2y3 +3x2 -6ry. minima and saddle points function. Let i = fi xda, where ^r is the region bounded below by the curve ! V/rite / as an iterated integral complete with limits. R: let r be the semicircular region given by -2 < y s2 and 0 < x s. Write the integra, , = il f @,y) dv as an iterated integral complete with limits if e is the region bounded below by the xy-plane,on the sides by the xz-plane and the surface !
