Need help with these two please. 2. Gravitational force due to a mass. The gravi

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Need help with these two please.

2. Gravitational force due to a mass. The gravitational force on a point mass m due to a point mass M at the origin is a gradient field with potential U(r) = GMm/r, where G is the gravitational constant and r = root x^2 + y2 + z2 is the distance between the masses. a. Find the components of the gravitational force in the x-, y-, and z-directions, where F(x, y, z) = - U(x, y, z). b. Show that the gravitational force points in the radial direction (outward from point mass M) and the radial component is F(r) = GMm/r^2. c. Show that the vector field is orthogonal to the equipotential surfaces at all points in the domain of U. 3. Heat flux in a plate. A square plate R = {(x,y) : 0

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