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3. {a} (5 points) The elevation of a certain hill is given by z = f (1:, y} (where the re coordinate tells you about

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3. {a} (5 points) The elevation of a certain hill is given by z = f (1:, y} (where the re coordinate tells you about your eastwest position and the y coordinate tells you about your northsouth position}. If you are standing at ((1,5), f{a,b) how can you interpret the partial derivatives fm ((1,5) and fy {41,15}? {h} {4 points) In this scenario, what dew the gradient Vf tell us? How does it relate to the level curves of the surfaoe z = f{a:,y}? (e) {3 points) Consider f{m,y) = 31n(:ry + 1) + Edi3' Find the gradient Vf. {d} {4 points) Find the equation of the tangent plane of f at (0,1) (e) (2 points) Approximate the value of f ((11,119)

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