Let S be the part of the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 25$ with x$\ge$ 0, y $\ge$ 0, z$\ge$ 0, oriented outward.Evaluate $\int _ { S } ( x z \vec { i } + 4 y z \vec { j } ) \cdot \vec { d A }$ .

Question

Let S be the part of the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 25$ with x$\ge$ 0, y $\ge$ 0, z$\ge$ 0, oriented outward.Evaluate $\int _ { S } ( x z \vec { i } + 4 y z \vec { j } ) \cdot \vec  { d A }$ .

Quizplus · Accepted Answer

The Answer of Let S be the part of the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 25$ with x$\ge$ 0, y $\ge$ 0, z$\ge$ 0, oriented outward.Evaluate $\int _ { S } ( x z \vec { i } + 4 y z \vec { j } ) \cdot \vec  { d A }$ .

Let S Be the Part of the Sphere x2+y2+z2=25x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 25x2+y2+z2=25

Let S Be the Part of the Sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 25$