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CHAPTER 7 Multivariable Calculus 16 . ( A ) / 3 yz etty dy ( B ) [ 3y zesty dy 30 . 1 x
CHAPTER 7 Multivariable Calculus 16 . ( A ) / 3 yz etty dy ( B ) [ 3y zesty dy 30 . 1 x e' dA ; R = { ( x. y ) 1 - 2 5 x 5 3, 0sys2) B In Problems 17-26, evaluate each iterated integral. (See the indi- cated problem for the evaluation of the inner integral.) In Problems 31-34, find the average value of each function over the given rectangle. 31. f(x, y ) = (x+ y)2; R = { ( x, y ) | 1 = x 5 5, - 1 sys1} (See Problem 7.) zi andi biloa adi to stulov of! britt 32. f(x, y) = x2+ 2; 18 . 1283 3 dx dy R = { ( x , y ) | - 1 = x = 2, 1 sys 4} 33. f ( x, y ) = x/ y; R = { ( x, >) | 1 5 x =4, 2sys7) (See Problem 8.) 34. f ( x, y ) = xy3 ; R = { ( x, y ) | - 1 = x=1, 0sys2) SS (4x + 6) + 5 ) didy In Problems 35-38, find the volume of the solid under the graph of each function over the given rectangle. (See Problem 9.) 35. f(x, y ) = 2 -12 - y2; R = { ( x, y ) | 0
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