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Chapter 14: Q. 52 (page 1120)
Find the flux of the given vector field through a permeable membrane described by surface S.
, where S is the surface with the equation for .
Ans:
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Compute dS for your parametrization in Exercise 9.
Generalize your answer to Exercise 12 to give a parametrization and a normal vector for the extension of any differentiable plane curve y = f(x) through a ≤ z ≤ b.
Compute dS for your parametrization in Exercise 7.
Q. Examples: Construct examples of the thing(s) described in the following. Try to find examples that are different than any in the reading.
(a) A smooth surface with a smooth boundary.
(b) A surface that is not smooth, but that has a smooth boundary.
(c) A surface that is smooth, but does not have a smooth boundary
What is the difference between the graphs of
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