Let F=3yi+4xj​,ϕ=38​x3+3xy, and h=y−4x2. (a) Find each of the following: F−∇ϕ= ∇h= How are F−∇ϕ and ∇h related? F−∇ϕ= ∇h

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Let F=3yi+4xj​,ϕ=38​x3+3xy, and h=y−4x2. (a) Find each of the following: F−∇ϕ= ∇h= How are F−∇ϕ and ∇h related? F−∇ϕ= ∇h (Note that this shows that F−∇ϕ is parallel to ∇h.) (b) Use ϕ and the Fundamental Theorem of Calculus for Line Integrals to evaluate ∫C​F⋅dr, where C is the oriented path on a contour of h from P(0,6) to Q(3,42) ∫C​F⋅dr=