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Unformatted text preview: x y x y x R tan , 4 : , : . The top 2 graphs below are of over a general region and the bottom graph is with our restriction in the plane. The red graph is of x y x f sec ln ) , ( = and the purple is x y tan = . Example: Find the area of the surface that is the portion of the paraboloid 2 2 16 y x z= that is in the first octant. (#16) Example: Find the surface area of the portion of the cone 2 2 2 y x z + = (blue) that is inside the cylinder 4 2 2 = + y x (pink). (#18) Example: Set up the iterated integral to find the area of the surface that is the portion of the paraboloid 2 2 3 y xy x z= over the region ( 29 { } x y x y x R , 4 : , : . (#30) The surface shown in red is 2 2 3 y xy x z= ....
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This note was uploaded on 01/13/2012 for the course MATH 2574 taught by Professor Pamelasatterfield during the Spring '12 term at NorthWest Arkansas Community College.
 Spring '12
 PamelaSatterfield
 Calculus, Formulas

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