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201-Unit 4-Summer

# 201-Unit 4-Summer - ENGR 201 – Summer Unit 4 Study Guide...

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Unformatted text preview: ENGR 201 – Summer Unit 4 Study Guide Unit Content : Section Pages Content 14.8 1038-1049 Lagrange Multipliers 15.1 1067-1081 Double Integrals in Rectangular Coordinates 15.2 1081-1091 Areas, Moments, Centers of Mass, Centroids, Average Values, Moments of Inertia, Radii of Gyration 15.4 1098-1109 Triple Integrals in Rectangular Coordinates, Volumes, Average Values Learning Objectives : 1. Use the method of Lagrange Multipliers to find the maximum and/or minimum value for a given gG¡, ¢£ or gG¡, ¢, ¤£ subject to a given constraint ¥G¡, ¢£ = ¦ or ¥G¡, ¢, ¤£ = ¦. 2. Evaluate a given double integral. 3. Given a double integral, sketch the region and set up an equivalent double integral with the order of integration reversed. 4. Find the area of a given region using a double integral. 5. Find the average value of a given gG¡, ¢£ over a specified region. 6. Find: (a) §, § ¨ , § © , ¡ª, ¢ « and (b) ¬ © , ¬ ¨ , ¬ ­ ,® © , ® ¨ , and ® ­ for a thin plate (with specified...
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201-Unit 4-Summer - ENGR 201 – Summer Unit 4 Study Guide...

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