Suppose a surface in three-dimensional space has the equation ax^2+bx+cy^2+dy=z  and it contains the points (1,1,1), (1,2,2), (2,-1,-2), and (3,-2,3). Set up a system of linear equations and use row reduction to determine the coefficients for this equation.

Q: Find the parabola of the form y=ax^2+b which best fits the points (1,0), (4,4), (6,8) by minimizing…

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Q: the center and foci of the followin 4x^(2)+8y^(2)-16x+32y+32=0

A: Given,              4x2+8y2-16x+32y+32=0. To find the center and foci of the given equation.