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QUESTION
Find the area of the surface given by over the region (Hint: Some of the integrals are simpler in polar coordinates.) f (x, y)= 13 + x^2 - y^2, R ={...
Find the area of the surface given by over the region (Hint: Some of the integrals are simpler in polar coordinates.)
f (x, y)= 13 + x^2 - y^2, R ={ (x, y): x^2 + y^2 <= 4}
S 1 f x 2 f y 2 dA 1 2 x 2 y dA 1 4 x 2 y 2 dA x2 y 2 4 2 2 x2 y 2 4 x2 y 2 42 2 1 4r 2 rdrd 0 0 2 312 2 2 1 4r 30 2 5 5 13 2 5 5 1 3