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This document contains a 5 question exam for a Calculus III course at the Universidad Nacional Mayor de San Marcos in Peru. The questions cover topics like graphing and discussing surfaces, finding curvature and torsions of curves, determining points where a curve has a tangent vector parallel to a coordinate plane, analyzing domains of functions, and determining a cost function for manufacturing a can based on its radius and height. The questions are worth varying points totaling 20 points for the exam.

Author

HUMBERTO APACLLA LOAYZA

Language

EN