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3 Find the point P(x, y,z) on the cone z = 2 sqrt(x^2 + y^2 ) that is nearest to the point (20, 15, 0).

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3 Find the point P(x, y,z) on the cone z = 2 sqrt(x^2 + y^2 ) that is nearest to the point (20, 15, 0). The following roadmap may be helpful: a) Express the square distance between the point (x,y,z) and the point (20, 15,0); b) Use the equation of the cone to write the square distance between (x,y,z) and (20, 15,0) as a function of two variables; c) find the point on the cone closest to (20, 15, 0) by minimizing the square distance you expressed in part b)

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