4. Given the vector field F = x2yzi + yz2j + ze*yk. Use Stokes' Theorem to calculate If curl F . ds. S is the part of the sphere x2 + y2 + z2 = 5 that lies above the plane z=1 and S is oriented upward.(10pts) Formula: 2sinxcosx=sin2x a) The vector equation, r(t), of curve C. ( The surface S is bounded by the curve C.)(2pts) b) Find F(r(t)).(2pts) c) Find F(r(t)) . r'(t).(2pts) d) Evaluate SS curl F . dS using J F . dr. (4pts)