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a) Find a parametric equation for a curve given as an intersection of a sphere x^2...

a) Find a parametric equation for a curve given as an intersection of a sphere x^2 + y^2 + z^2 = 1 and a plane x + z = 1, where 0 ≤ a ≤ 1.

b) Do the contour plot of the function f(x, y) = x 2 −y 2 . The contour plot is a collection of several level curves drawn on the same picture (be sure to include level curves for positive, negative and zero value of the function). What surface is the graph of this function?

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