Verify that Stokes' Theorem is true for the vector field $\mathbf { F } ( x , y , z ) = - y \mathbf { i } + \lambda \mathbf { j } + \mathbf { k }$ and the cone $z ^ { 2 } = x ^ { 2 } + y ^ { 2 } , 0 \leq z \leq 1$ , oriented upward.

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The Answer of Verify that Stokes' Theorem is true for the vector field $\mathbf { F } ( x , y , z ) = - y \mathbf { i } + \lambda \mathbf { j } + \mathbf { k }$ and the cone $z ^ { 2 } = x ^ { 2 } + y ^ { 2 } , 0 \leq z \leq 1$ , oriented upward.

Verify That Stokes' Theorem Is True for the Vector Field F(x,y,z)=−yi+λj+k\mathbf { F } ( x , y , z ) = - y \mathbf { i } + \lambda \mathbf { j } + \mathbf { k }F(x,y,z)=−yi+λj+k

Verify That Stokes' Theorem Is True for the Vector Field $\mathbf { F } ( x , y , z ) = - y \mathbf { i } + \lambda \mathbf { j } + \mathbf { k }$