### Optimization on Ellipse in R^3 1: Parametrization Method

Multivariable Calculus: Consider the ellipse given as the intersection of the cylinder x^2 + y^2 =1 and the plane y = z + 1 in three-space. Using a parametrization, we find the maximum and minimum values of f(x,y,z) = xz on the ellipse. In Part 2, same problem with Lagrange Multipliers with two constraints.

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