1617-257/homework 13 assignment solutions

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Solve all the problems in sections 25-26, but submit only your solutions of problems 4 and 8 in section 25 and problems 5 and 6 in section 26. In addition, solve the following problem, though submit only your solutions of parts d and e:

Problem A. Let be given by . Let be the image of .

a. Describe .

b. Show that is a manifold.

c. Find the boundary of .

d. Find the volume of .

e. Find (where denotes the third coordinate of ).

Student Solutions

Student 1, LaTeX PDF

Student 2