4038HW3_Su2010 - 1 given by the vector parametrization r x...

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Homework #3 to Hand In Math 4038 Summer 2010 Print Your Name: S howa l lwo rk : W ecang ivec red i t only for what you write! Hand in only your own work—nothing copied!
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Unformatted text preview: 1 given by the vector parametrization r ( x, y ) = x i + y j + ( x 2 − y 2 ) k with ( x, y ) restricted to the disc x 2 + y 2 ≤ 4. a . (4) Find the normal vector N = r x × r y b . (3) Express the surface area of S as a double integral. c . (3) Calculate 2 the surface area of S . 1 S is a typical example of what is called a saddle surface because of its resemblance to a saddle. 2 The integral is simplest if converted to polar coordinates. 1...
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This note was uploaded on 01/06/2012 for the course MATH 4038 taught by Professor Staff during the Summer '08 term at LSU.

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