Surface Integrals Homework

Directions: Write legibly and in pencil. Complete the homework on time and by yourself. For each problem, write the instructions, label the solution, show all steps, and write the final answer in a sentence. Do not turn in your scratch work. Staple your pages together, in the correct order, and use this page as a cover sheet.

(1) Evaluate the surface integral with

(2) Evaluate the surface integral with

(3) Evaluate the surface integral with

(4) Evaluate the surface integral with

(5) Evaluate the surface integral with where

(6) Evaluate the surface integral with where

(7) Evaluate the surface integral where is the portion of the plane that lies inside the cylinder

(8) Evaluate where and is the surface of the cube bounded by the planes and

(9) Evaluate where and is the surface of the portion of the plane that lies inside the cylinder

(10) Evaluate the surface integral where is the surface determined by with   

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