solve the answers handwritten but please type all the final answers together in the different section after
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solve the answers handwritten but please type all the final answers together in the different section after solving. Thanks.
1. [-/1 Points] DETAILS SCALCET9 16.8.004. Use Stokes' theorem to evaluate 1 /curl( F ) . ds. F(x, y, z) = tan-1(x2yz?)i + xyj + x2z?k, S is the conex = \\y2 + 22, 0 x 3, oriented in the direction of the positive x-axis Need Help? Read It3. [-/1 Points] DETAILS SCALCET9 16.8.007.MI. Use Stokes' theorem to evaluate F . dr where C is oriented counterclockwise as viewed from above. F (x, y, z) = (x + y2)i + (y + z?)j+ (z + x2)k, C is the triangle with vertices (9, 0, 0), (0, 9, 0), and (0, 0, 9) Need Help? Read It Watch It Master It 4. [-/1 Points] DETAILS SCALCET9 16.8.012. Use Stokes' theorem to evaluate / F F . dr. F(x, y, z) = ze*i + (z - 5y )j+ (x - 723) k, C is the circle y2 + z2 = 25, x = 6, oriented clockwise as viewed from the origin Need Help? Read It5. [-/1 Points] DETAILS SCALCET9 16.8.013. Use Stokes' theorem to evaluate F . dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = 4x2yi + 2x j + 2e" tan"(z) k, C is the curve with parametric equations x = cos(t), y = sin(t), z = sin(t), 0 S t = 2n C Need Help? Read It6. [-/1 Points] DETAILS SCALCET9 16.8.017. Verify that Stokes' theorem is true for the given vector field F and surface S. F(x, y, z) = -yi+ xj - 2k, S is the cone z2 = x2 + y2, 0 S z s 4, oriented downward The boundary curve C is the circle x2 + y
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