Calculus3_test3_formulasheet

Calculus3_test3_formulasheet - Polar Coordinates r...

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Unformatted text preview: Polar Coordinates ( r , ) Cylindrical Coordinates ( r , , z ) rd rd x = r cos y = r sin Spherical Coordinates ( , , ) rd zd rd = 2 sin ( ) d d d cos = z ta n = y x x2 + y2 + z2 x = sin c o s y = sin sin z = c o s Line Integrals h (r ) d r 17.2 f ( r ) d r = f ( b ) - f ( a ) 17.1 Green's Theorem P ( x , y ) d x + Q ( x , y ) d y = x 1 - ydx + xdy Area = 2 Centroids xA = Q (x,y) - P ( x , y )d xd y y xdxdy yA = ydxdy Area of Circle = r 2 Identities 1 1 co s2 x = + co s 2 x 2 2 1 1 sin 2 x = - c o s 2 x 2 2 c o s 2 x + sin 2 x = 1 ...
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This note was uploaded on 04/14/2008 for the course MATH 2433 taught by Professor Blecher during the Spring '08 term at University of Houston.

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Calculus3_test3_formulasheet - Polar Coordinates r...

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