Use Stokes' theorem to evaluate the work done by the force field F = ((f(x, y, z), 4.xy, x + yz) , where ƒ : R³ → R is an arbitrary smooth function, while moving an object first from the point (7, –1,0) to the point (7,1,0) along the semi-circle (with z >0) of radius 1 in the plane a = 7, and then back to the point (7, –1,0) along the line æ = 7 in the (x, y)-plane.

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Q: O Find a root of the equation tan x = 4x correct to 3 decimal places, xo = 1.5 %3D

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A: Since you have asked multiple questions, we will solve the first question along with its subparts fo...