MATH 200 Study Guide - Midterm Guide: Unit Disk, Iterated Integral, Tangent Space

• School: UBC
• Department: Mathematics
• Course: MATH 200
• Professor: All

Document Summary

[10: the temperature at a point (x, y, z) is given by t (x, y, z) = 5e 2x2. 6. (a) combine the sum of the iterated integrals. 1 y y 2 f (x, y)dxdy into a single iterated integral with the order of integration reversed. (b) evaluate i if f (x, y) = ex. [10: the average distance of a point in a plane region d to a point (a, b) is de ned by. (x a)2 + (y b)2 dxdy where a(d) is the area of the plane region d. let d be the unit disk 1 x2 + y2. Find the average distance of a point in d to the center of d. [10: let e be the region in the rst octant bounded by the coordinate planes, the plane x + y = 1 and the surface z = y2.