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Consider the three-dimensional scalar field 1 h(x, y, z) = ++ 2. (a) Find an expression for the scalar field h in cylindrical coordinates.

Consider the three-dimensional scalar field 1 h(x, y, z) = ++ 2. (a) Find an expression for the scalar field h in cylindrical coordinates. (b) Determine the gradient grad h in cylindrical coordinates. (c) Find an expression for the scalar field h in spherical coordinates. (d) Determine the gradient grad h and the value of grad h in spherical coordinates. [2] 252 [5] [2] 6 [9]

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