$\text { Use Stokes's Theorem to evaluate } \int _ { C } \mathbf { F } \cdot d r \text { where } \mathbf { F } ( x , y , z ) = x ^ { 2 } \mathbf { i } + z ^ { 2 } \mathbf { j } - x y z \mathbf { k }$

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The Answer of $\text { Use Stokes's Theorem to evaluate } \int _ { C } \mathbf { F } \cdot d r \text { where } \mathbf { F } ( x , y , z ) = x ^ { 2 } \mathbf { i } + z ^ { 2 } \mathbf { j } - x y z \mathbf { k }$

And $S$ Is $z = \sqrt { 25 - x ^ { 2 } - y ^ { 2 } }$

Definitions:

And SSS Is z=25−x2−y2z = \sqrt { 25 - x ^ { 2 } - y ^ { 2 } }z=25−x2−y2​

Definitions:

And $S$ Is $z = \sqrt { 25 - x ^ { 2 } - y ^ { 2 } }$