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10. Set up and evaluate the double integral: JR [ f (x,y)dA where f (x,y) = 9 - x2 _ y2 and R is the region x2 + y2 < 9,x 2 O,y 2 0 (5 points)...

Question

10. Set up and evaluate the double integral: JR [ f (x,y)dA where f (x,y) = 9 - x2 _ y2 and R is the region x2 + y2 < 9,x 2 O,y 2 0 (5 points)

10. Set up and evaluate the double integral: JR [ f (x,y)dA where f (x,y) = 9 - x2 _ y2 and R is the region x2 + y2 < 9,x 2 O,y 2 0 (5 points)



Answers

Express each double integral over the region $R$ as an iterated integral using polar coordinates; do not integrate. $$ \iint_{R}(x+y) d A, R \text { is enclosed by } x^{2}+y^{2}=9, x \geq 0, \text { and } y \geq 0 $$


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