lista 7.pdf

(4xy + 3y 2 ) dx dy

−

1 R

x 2 + 1 dx dy

−

y 2 dx dy

cos(2x + y) dx dy

f (x, y) dx dy

f (x, y) = x 2 y

(0, 0) (3, 0) (0, 3)

f (x, y) = y + 2 sin x

y = −|x|

f (x, y) = x 3 + y 3

D ={(x, y) :|x|+|y|6 3}

1 R

3x + 2y 2 dx dy

y 2

(x + y) dy dx

sin x

|x|

1 dx dy

−

− p

−x 2

xy dx dy

x 2 + y 2 6 9

(x 2 + y 2 ) dx dy

D ={(x, y) : x > 0, 1 6 x 2 + y 2 6 2}

(x 2 −y 2 ) dx dy

D ={(x, y) : y > 0, y 6 x 2 + y 2 6 x}

z = f (x, y)

f (x, y) = 18−3x + 4y

D = [−3, 3]×[−2, 2]

(0, 0)

x 2 + y 2 + z 2 = 9

x 2 + y 2 = 1

f (x, y) = sin x cos y

D = [0, ]×[0, 2]

f (x, y) = x 2 + y 2